The role of a Data Scientist at Opera Solutions is pivotal in driving data-driven decision-making and innovative solutions for our clients. As a Data Scientist, you will leverage advanced analytical techniques and machine learning algorithms to extract insights from complex datasets, which directly influence product strategy and operational efficiency. This role is critical not only for enhancing existing products but also for developing new offerings that can transform the way businesses operate.
You will work closely with cross-functional teams, including product management, engineering, and operations, to solve real-world problems and deliver actionable insights. The complexity and scale of the data you will encounter are significant, providing an intellectually stimulating environment that encourages continuous learning and growth. Your contributions will help shape the future of our products and services, making a tangible impact on users and the business.
Phone Screening
reportedWhoever runs this call is usually not a practitioner. They take notes, and a hiring manager skims those notes later, so the real question is whether your work survives being written down by someone outside the field. Test every project sentence against that: could a non-specialist repeat it correctly without knowing what a propensity score is? Carry a plain-language version of each project and one reason you want this particular role that you could not copy onto another application. Vagueness at this stage reads as inexperience, even when the underlying work was genuinely deep.
What to demonstrate
- Whether a non-specialist can restate your projects accurately, since their paraphrase is what reaches the hiring manager
- Whether your reason for wanting the role points at the work itself rather than the company's reputation
- Whether your language signals the level being screened for: what you decided yourself versus what you were handed
How to prepare
- Write a two-sentence, jargon-free version of each major project: the question nobody could answer, and the decision your work changed. Read it to someone outside data and have them repeat it back
- Point your 'why this role' answer at something concrete in the job description or the product surface you would be working on, and keep it to two sentences
- Have two questions ready about measurement: which metric the team is held to, and who acts on an analysis once it lands
Technical Interviews
reportedBefore anything else, this round is a reading test. You are given a small schema and a question phrased in business language, and most of the difficulty sits in the gap between them. Who counts as an active user, does a refunded order still count as an order, is that date column an event time or a load time. Weak answers start typing immediately and compute something precise about the wrong population. Strong ones pin the definition in one sentence, name the column that encodes it, then write the query. On a timed assessment with nobody to tell, write the definition in a comment anyway.
What to demonstrate
- Whether an ambiguous term becomes a specific column and filter before any computation happens
- Whether you read the schema for keys and cardinality rather than only for column names
- Whether the result answers the question at the grain it was asked at, per user or per session or per day
How to prepare
- Take three metrics you already use and write down the exact filter and exact grain behind each, then practise stating one of them in a single sentence out loud
- On a schema you have never seen, spend the first minute writing what one row of each table means and which key it is unique on, then predict which joins can duplicate rows
- Rehearse a version where the definition changes halfway through, and edit the query you have instead of starting over
PracHub editorial advice for the preparation topics above.
Treating accounts as independent observations
Revenue is concentrated: a small number of client_ids typically carries a large share of fees, and engagements within one account share a partner, a rate card and a delivery team. Ordinary standard errors computed over engagements therefore understate uncertainty badly. Cluster at client_id, and with fewer than roughly 40 clusters use a wild cluster bootstrap or a CR2 correction, because cluster-robust standard errors are downward-biased in that regime and will manufacture significance that a replication will not reproduce.
Pooling margin, realisation or overrun across pricing models
Fixed-fee margin falls with hours worked; uncapped time-and-materials margin rises with hours worked; retainer margin depends on neither. A quarter in which the firm sells more fixed-fee work will show a margin change caused entirely by mix, not by delivery performance, and the aggregate can move in the opposite direction to every individual pricing model. Always stratify by fct_engagement.pricing_model before comparing periods, and report the mix shift alongside the within-stratum change.
Crediting a treatment for regression to the mean
Selecting a group because it is extreme (lowest-engagement users, accounts having their worst month, the bottom decile of a score) moves that group's expected next-period value back toward the average even under no treatment, by exactly as much as the selecting measure is imperfectly correlated with its own later value. Compare against units that met the same selection rule and went untreated, or use two pre-periods so the bounce-back is visible before the intervention starts. A pre-post number on a group chosen for being extreme measures the selection rule, not the treatment.
Explaining an aggregate move without decomposing the mix shift
Split the change in the aggregate into within-segment movement and movement in segment weights before you explain it. Every segment's rate can fall while the overall rate rises, purely because volume shifted toward segments that already had higher rates.
Choose a category, try a prompt, then open its approach, worked solution or follow-up when you need it.
Write a function to calculate the mean and standard deviation of a lis…
Write a function to calculate the mean and standard deviation of a list of numbers.
Approach
- Translate the result into the decision it informs, in one plain sentence.
- Quantify uncertainty explicitly rather than reporting a point estimate alone.
- Sanity-check the answer against a simple bound or a simulated case.
Follow-up
- How would you explain this result to someone who does not know statistics?
- Which assumption here is most likely to be violated in practice?
What are some common metrics used to evaluate a classification model?
What are some common metrics used to evaluate a classification model?
Approach
- Say how the offline result would be validated online before it is trusted.
- Set a baseline first, so any model has something honest to beat.
- Pick an evaluation metric that matches the cost of each error type, not a default.
Follow-up
- What would you monitor after launch to know the model is still valid?
- How would you choose the decision threshold, and who owns that choice?
Cluster bootstrap a margin change across few, unequal accounts
engagements has engagement_id, client_id, pricing_model, fees_usd, cost_usd and period in {pre, post} around a rate-card change. There are about 35 client_ids across roughly 400 engagements, and the top five clients carry a large share of fees. Estimate the pre-to-post change in value-weighted gross margin within pricing_model, and give a 95% interval by resampling whole client_ids with replacement, B = 2000. Write the bootstrap yourself; no resampling library. Report the account-weighted estimate alongside and explain any divergence.
Approach
- Write the statistic as a pure function of a dataframe first. Within each pricing_model, margin = (sum(fees) - sum(cost)) / sum(fees) per period; the headline is the fee-weighted average of the within-model differences using fixed pre-period weights, so a shift in the mix of work sold cannot masquerade as a change in delivery.
- Resample clusters, not rows: draw 35 client_ids with replacement and concatenate all engagements of each drawn client. A client drawn twice contributes its rows twice under distinct pseudo-ids, which is what preserves within-account correlation instead of averaging it away.
- Recompute the statistic on each replicate and take a percentile interval from the 2.5th and 97.5th quantiles. With concentrated fees the replicate distribution is skewed, so a symmetric point plus or minus 1.96 times a standard error is wrong in the tail that matters.
- Compute the account-weighted version (mean across clients of each client's margin change) next to the value-weighted one, and attribute the divergence to concentration rather than to noise; if they disagree in sign, that fact is the finding.
- Name the regime honestly: at roughly 35 clusters both cluster-robust standard errors and the pairs cluster bootstrap under-cover, so state the fix you would run next, which is a wild cluster bootstrap with Rademacher weights or CR2 with t(G-1) critical values.
Worked solution 40 min
- stat(df): pivot fees and cost by (pricing_model, period), compute per-model margins, difference post minus pre, and weight the differences by each model's pre-period fee share; return one scalar.
- Pre-split the frame into a dict of client_id to its rows, so each replicate is a concat of 35 preselected blocks rather than a boolean filter over 400 rows.
- rng = np.random.default_rng(11); for b in range(2000): draw client ids with replacement, concat their blocks, call stat, store; assert the replicate's nunique cluster draw count is 35 every time.
- ci = np.quantile(reps, [0.025, 0.975]); compute the account-weighted estimate as the unweighted mean of per-client margin changes over clients present in both periods.
- Re-run a row-level bootstrap on the same data for contrast and record both interval widths, then leave-one-client-out to see whether one account drives the point estimate.
Follow-up
- Implement the wild cluster bootstrap and show at what cluster count its p-value separates from the naive one.
- One client is 30% of fees. Show the interval with and without that account and say which one you would present, and to whom.
- What pre-period check would make you willing to call this a causal effect of the rate card rather than a correlation?
Explain the concept of recursion and provide an example.
Explain the concept of recursion and provide an example.
Approach
- Compute rates by summing numerator and denominator separately, never by averaging rates.
- Check whether any join is one-to-many before aggregating, or the sums inflate.
- Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
Follow-up
- How does the query change if the join becomes one-to-many?
- What breaks if events arrive late or out of order?
Write code to merge two sorted arrays into a single sorted array.
Write code to merge two sorted arrays into a single sorted array.
Approach
- Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
- State the window function and its partition and ordering out loud before writing it.
- Say which table is the grain you start from, and join outward from it.
Follow-up
- What breaks if events arrive late or out of order?
- How would you verify this result without re-running the same query?
Engagement margin without fan-out across two fact tables
fct_engagement holds engagement_id, pricing_model and contract_value_usd. fct_invoice_line holds engagement_id, line_type, amount_usd and status. fct_time_entry holds engagement_id, hours, cost_rate_usd, is_billable and status. For engagements closed last year, return fees (line_type IN ('fees','milestone','credit_note') and status <> 'draft'), delivery cost (SUM(hours * cost_rate_usd) over approved entries, billable and non-billable alike) and gross margin, grouped by pricing_model. A single SELECT joining the engagement to both fact tables and then aggregating produces wrong numbers: say what the error is, then write the correct query.
Approach
- Do the arithmetic out loud. An engagement with 40 qualifying invoice lines and 900 approved time entries yields 36,000 rows on the double join: SUM(amount_usd) comes back 900 times too large and SUM(hours * cost_rate_usd) 40 times too large. The two inflation factors are different, so the ratio moves too — per engagement the double join replaces the cost-to-fee ratio with (cost / fees) * (line count / entry count), so a true 30 percent margin reads as 1 - 0.7 * (40 / 900), about 97 percent.
- Know which shape of this bug actually survives review. The ratio is preserved only where an engagement carries the same number of qualifying invoice lines as approved time entries, and then only as a row-count-weighted margin, 1 - SUM(cost_i * k_i) / SUM(fees_i * k_i), which still differs from the true pooled margin unless k_i is constant across engagements. So you get either a total absurd enough to tempt someone into a scaling patch, or, on a population where the two counts happen to track each other, a believable-looking ratio sitting on fees and cost that are each wrong by orders of magnitude.
- Aggregate each fact table to engagement grain in its own CTE, then LEFT JOIN both onto fct_engagement. One row per engagement then holds by construction rather than by inspection.
- Include non-billable delivery hours in cost. Rework, unbilled travel and pursuit time on a live account are real fully-loaded cost, and excluding them flatters fixed-fee work specifically, which is the mix you most need to see clearly.
- Treat zero and NULL as different: an engagement with no invoice lines has undefined margin, not zero. Divide by NULLIF(fees, 0) and keep those engagements in a labelled bucket instead of letting an inner join hide them.
- Group by pricing_model before reporting any firm-wide figure, and publish the fee mix next to it. Fixed-fee margin falls as hours rise, uncapped time-and-materials margin does not, so a shift in what was sold moves the pooled number with no change in delivery at all.
Worked solution 30 min
- Compute standalone control totals: total fees over the filtered invoice-line set and total cost over the approved time-entry set, both for the closed-engagement population.
- Build fees_by_engagement and cost_by_engagement as separate CTEs at engagement grain.
- LEFT JOIN both onto fct_engagement, compute margin with NULLIF on the denominator, and group by pricing_model.
- Run the naive double join on a single engagement and confirm its fee total equals the true total times that engagement's time-entry count, and its cost total the true cost times its invoice-line count.
- Report the fee mix by pricing_model alongside the margin column.
Follow-up
- Decompose a period-over-period margin move into a within-pricing-model component and a between-model mix component, and show the two sum to the total.
- Where does not_to_exceed_usd change the time-and-materials picture, and how would you find engagements that crossed it?
- Roll this up to the account through parent_client_id. What must the recursive CTE guard against?
How do you prioritize tasks when faced with multiple deadlines?
How do you prioritize tasks when faced with multiple deadlines?
Approach
- Fix the population and the time window before naming any metric.
- Restate the decision this analysis has to support, and who acts on the answer.
- Decompose the metric into the rates that drive it, and say which one you would check first.
Follow-up
- Which segment would you cut first, and what would that rule out?
- What would you do if the primary metric and the guardrail moved in opposite directions?
How would you approach a problem where you need to predict customer ch…
How would you approach a problem where you need to predict customer churn?
Approach
- Name one primary metric, then the guardrail that stops it being gamed.
- Fix the population and the time window before naming any metric.
- Decompose the metric into the rates that drive it, and say which one you would check first.
Follow-up
- Which segment would you cut first, and what would that rule out?
- How would you detect that the metric is being gamed rather than genuinely improving?
How would you explain your analysis and findings to a non-technical au…
How would you explain your analysis and findings to a non-technical audience?
Approach
- Decompose the metric into the rates that drive it, and say which one you would check first.
- Restate the decision this analysis has to support, and who acts on the answer.
- Fix the population and the time window before naming any metric.
Follow-up
- Which segment would you cut first, and what would that rule out?
- What would you do if the primary metric and the guardrail moved in opposite directions?
Create a high-level plan for analyzing an A/B test.
Create a high-level plan for analyzing an A/B test.
Approach
- State the primary metric and the minimum effect worth shipping, then size the test.
- Say whether units interfere with each other, and switch design if they do.
- Name the randomisation unit first; it decides the variance and what the test can detect.
Follow-up
- What would you do if you could not randomise at all?
- How would you handle interference between treated and control units?
Explain the difference between supervised and unsupervised learning.
Explain the difference between supervised and unsupervised learning.
Approach
- Say what you would check first and why it is the highest-information step.
- Work from the decision backwards to the evidence you would need.
- Clarify what is being asked and what a complete answer would contain.
Follow-up
- How would you know your answer was wrong?
- What assumption would you test first?
Refuse an early stop on a weekly-monitored pilot
A 26-week pilot is running and the sponsor reads a dashboard every Monday. At week 6 the primary metric is up with a nominal p of 0.03 and the sponsor wants to roll out. Quantify the type I error those weekly looks have already spent, give the boundary the week-6 look would have had to clear under a pre-registered four-look O'Brien-Fleming design, and explain why a week-6 estimate of a newly introduced delivery process is a poor estimate of its steady-state effect in either direction. Say what you would do instead.
Approach
- Correct the naive arithmetic first. Looks at cumulative data are positively correlated, so the inflation is not 1 - 0.95^26 = 0.74. The classical repeated-significance result gives about 0.19 at ten equally spaced looks and about 0.25 at twenty, so 26 weekly looks at a nominal 0.05 sit near a quarter, roughly five times the advertised rate.
- Give the pre-registered alternative concretely. An O'Brien-Fleming boundary with four equally spaced looks uses z_k = z_K * sqrt(K/k), which yields 4.05, 2.86, 2.34 and 2.02, corresponding to nominal two-sided p of roughly 0.00005, 0.004, 0.019 and 0.043. Week 6 is about a quarter of the information, so the boundary is 4.05 and the observed p of 0.03 is z = 2.17.
- Offer the option that actually fits continuous monitoring: an always-valid confidence sequence or a mixture sequential probability ratio test, valid at every stopping time at the cost of wider intervals, rather than a fixed-horizon test read 26 times.
- Separate the statistical objection from the measurement objection. Six weeks in, treated teams are six weeks into a changed way of working. Novelty inflates early estimates through attention to anything new, primacy depresses them through resistance to a process change, and in delivery-process pilots primacy usually dominates, so the early estimate is as likely too low as too high.
- Diagnose rather than assert. Plot the effect by weeks since exposure rather than by calendar week and compare cohorts that adopted at different calendar dates. If the curve is still moving at the pre-specified end of the window, the window was too short and the estimand should be restated.
Worked solution 20 min
- Convert the reported p of 0.03 to a test statistic: two-sided, so z = 2.17.
- Construct the four-look O'Brien-Fleming boundary: choose z_4 = 2.024 so the overall two-sided level is 0.05, then z_k = 2.024 * sqrt(4/k), giving 4.05, 2.86, 2.34, 2.02.
- Place week 6 on the information fraction: 6/26 = 0.23, which is the first look, boundary 4.05.
- Compare 2.17 against 4.05: the look does not cross, so continue to the next pre-specified look rather than stopping.
- Plot the weekly effect estimate against weeks since exposure with its confidence band and check whether the curve has flattened before the pre-specified end.
Follow-up
- The sponsor argues the cost of a false positive here is low. Does that change the boundary, and how would you set alpha from a cost ratio instead of convention?
- You have four pre-registered looks. What does adding a futility boundary buy, and what does it cost?
- How would you distinguish a novelty effect from a real effect that genuinely decays?
Days sales outstanding improved while collections got worse
A cash dashboard reports mean days-to-pay as AVG(paid_at - issued_at) over fct_invoice_line where status = 'paid'. It improved from 47 to 39 days last quarter. The finance lead insists collections are worse, and invoice volume rose about 30% after a large batch issued early in the quarter. Using invoice_line_id, engagement_id, issued_at, due_date, paid_at, status and amount_usd, explain the contradiction and deliver the estimate you would report instead, with its assumptions.
Approach
- Name the bias precisely: at any snapshot, the set of paid invoices over-represents fast payers, because slow ones have not finished yet. Unpaid, partially paid and disputed lines are right-censored observations, not absent ones, and averaging over completions alone is biased downward.
- Explain why the bias grew: a large young cohort adds many invoices whose slow half cannot yet appear in the paid set, so a volume increase alone pushes the naive mean down even with unchanged payment behaviour.
- Build the censored dataset: event time = paid_at - issued_at for paid lines; censoring time = snapshot_date - issued_at for status IN ('issued','partially_paid','disputed'). Confirm no placeholder dates were substituted for NULL paid_at.
- Estimate with Kaplan-Meier by issue-month cohort and report both the median and the restricted mean to a fixed horizon such as 90 days, so cohorts of different maturity are compared over the same span. State the independent-censoring assumption: censoring here is administrative, driven by issue date rather than by payment behaviour, which is what makes it defensible.
- Cross-check with a metric that needs no model: share of each cohort's invoiced amount collected by day 30, 60 and 90. If the recent cohort's curve sits below prior cohorts at the same age, collections really did deteriorate.
- Report amount-weighted as well as count-weighted, since one large disputed invoice moves cash without moving the count.
Follow-up
- Disputed invoices may never pay at all. Does that break the censoring assumption, and how would you handle it?
- How would you turn this into a weekly operational report that cannot be gamed by issuing more invoices?
- Proposal cycle time has the same structure. What is the equivalent fix there?
For a candidate whose interviews will centre on A/B testing, metric movement and causal claims. Design comes before arithmetic, arithmetic before analysis, and the week ends by rehearsing the readout rather than the derivation.
Prepare, practise & reflect
One practical outcome each day. Spend longer where you need it.
0 / 7 done01Design one test end to end on paper
- Take a single feature change and write the full design: randomization unit, the exact point of exposure, the primary metric with its grain, guardrails, allocation, planned duration, and the decision rule committed before any data exists.
- Write why the randomization unit must sit at or above the level where treatment can spill over, and give one case where user-level randomization is still contaminated (shared accounts or devices, or two participants in the same marketplace).
- State in advance what you will do if the primary metric is flat while a secondary metric is significant.
Deliverable: A one-page test design with a decision rule written before launch.
Practice prompt ↗Practice prompt ↗Practice prompt ↗Worked solution ↗02Power arithmetic until it is automatic
- Compute required sample size per arm for a binary metric with the normal approximation, n is approximately 2 times (z for alpha/2 plus z for power) squared times p(1 minus p) divided by delta squared, for baselines of 2, 10 and 40 percent at a 5 percent relative lift, and note that for a fixed relative lift the requirement falls as the baseline rises because delta grows proportionally with p.
- Redo the calculation for a continuous metric using variance in place of p(1 minus p), and show why a heavy-tailed quantity such as revenue per user needs either far more traffic or a capped version with a stated cap.
- Convert one of the results into weeks given a weekly eligible traffic figure, then list the two honest ways to shorten it (accept a larger detectable effect, or reduce variance) and write why quietly lowering the power target is a decision to miss more real wins, not a speedup.
Deliverable: A small script or sheet that maps baseline, minimum detectable effect, alpha and power to sample size and weeks, cross-checked against a published calculator.
Practice prompt ↗Practice prompt ↗Practice prompt ↗03Variance and the unit-of-analysis problem
- Take a ratio metric whose denominator is not the randomization unit (clicks per session, randomized by user) and compute the standard error twice, once naively at session level and once by the delta method or a user-level bootstrap, then record how much the naive version understates it.
- Implement CUPED on simulated data: choose a pre-period covariate X measured before assignment, estimate theta as Cov(Y, X) divided by Var(X), and analyse Y minus theta times (X minus its mean) in place of Y. Confirm the variance of the adjusted outcome equals the raw variance multiplied by one minus the squared correlation between Y and X, so a correlation of 0.45 removes about 20 percent of the variance and not 80.
- Now run that simulation a few hundred times and confirm the adjusted effect estimate is unbiased for the same effect rather than numerically identical to the raw one. Within any single run the two differ, sometimes by a large fraction of the true effect, because the two arms' pre-period covariate means never coincide exactly in a finite sample; they agree in expectation, which is the property that matters and the one to state out loud.
Deliverable: A notebook showing the adjusted estimator with a measurably smaller variance than the raw one, plus a repeated-simulation table showing the two estimators agreeing on average while differing run by run.
Practice prompt ↗Practice prompt ↗04Validity threats you can actually test for
- Run a sample ratio mismatch check as a chi-square goodness-of-fit test against the intended allocation, and write the three causes you would chase first (assignment logged before exposure, an arm-specific redirect or load failure, bot filtering applied asymmetrically).
- Simulate peeking: generate A/A data, test daily at alpha 0.05 across 14 looks, record the inflated false positive rate, then apply an alpha-spending boundary or commit to a fixed horizon and confirm the rate returns to nominal.
- Write how you would separate a novelty effect from a durable lift using the treatment effect plotted against days since first exposure, and what shape would change your recommendation.
Deliverable: One table showing the peeking false positive rate before and after correction, plus a written SRM triage list.
Practice prompt ↗Practice prompt ↗Worked solution ↗05When randomization is not available
- Write the identifying assumption for difference-in-differences (parallel trends in the absence of treatment), then plot pre-period trends for two candidate control groups and justify rejecting one of them.
- Design a switchback test for a change where user-level randomization would leak across participants, choosing a time-block length against the carryover you expect and saying how you would detect carryover in the data.
- List what an interrupted time series or a synthetic control buys you and the one thing neither can rule out: an unobserved shock that coincides with the launch.
Deliverable: A one-page memo recommending a single quasi-experimental design and naming its weakest assumption explicitly.
Practice prompt ↗Practice prompt ↗06The readout query
- Write the assignment-to-exposure join that returns exactly one row per unit per experiment, and handle units appearing in both arms by excluding and counting them rather than silently keeping one.
- Compute the per-arm metric, its variance and the relative lift with a confidence interval in SQL, then reproduce the identical numbers in a notebook as a cross-check.
- Add a segment breakdown and write the sentence that keeps it from being p-hacking: segments declared in advance, everything else reported as exploratory and corrected for multiplicity.
Deliverable: A single query that outputs the full readout table, matched to a notebook recomputation.
Practice prompt ↗Practice prompt ↗07Present it to someone who will not read the appendix
- Give a 10-minute readout of a real or simulated experiment in the order decision, number, uncertainty, caveat.
- Have your listener ask "can we ship it" in the case where the primary is flat and a guardrail moved, and answer with a recommendation rather than a request for more data.
- Rewrite your opening line so the recommendation lands before any methodology.
Deliverable: A one-page readout whose first line is the recommendation.
Practice prompt ↗Practice prompt ↗Worked solution ↗Expand any day for tasks and deliverables. Your progress is saved on this device.
Most data work is done by groups, so an interviewer has to work out which piece was yours. An answer that runs on 'we' for several minutes gets interrupted with a question about what you personally did, and by then the answer sounds defensive even when it is true. Mark your own contribution as you go, and name the parts that belonged to someone else instead of leaving them ambiguous. Keep a few specifics back as well, like the name of the metric or who actually objected, so a probe can be answered with something you had not already said.
Share an experience where you had to convince a team or stakeholder of…
Share an experience where you had to convince a team or stakeholder of your point of view.
Approach
- Quantify the outcome, including what you would not claim credit for.
- Name the disagreement or constraint, and how you resolved it with evidence.
- Close with what you would do differently, concretely.
Follow-up
- What did you decide not to do, and why?
- What would you do differently if you ran that project again?
Your utilisation dashboard caused a staffing decision on incomplete data
Six weeks ago you shipped a weekly billable-utilisation dashboard keyed on fct_time_entry.work_date. It showed a six-point drop across the three most recent weeks. A practice lead pulled two consultants off an engagement in response. The drop reversed on the next refresh, because time entries are created days to weeks after the work happens and entered_at trails work_date. Describe what you do now: the diagnosis, the change to the artifact, and the conversation with the person who acted on your number.
Approach
- Name the probe: whether you own a reporting-design error rather than reclassifying it as someone else's timesheet compliance problem, and whether you fix the class of bug instead of the single week.
- Quantify before explaining. Measure the backfill curve directly from entered_at: for work_date D, the share of final hours that existed as of D plus k, for k from 1 to 45. That gives an observed tail length instead of a guessed cutoff.
- Change the artifact so the incomplete region cannot be read as a trend. Either end the trended series at snapshot minus the measured tail, or publish an as-of-entered_at series that is internally consistent, and label which one is on screen.
- Tell the person who acted, first and directly, with the corrected series and the specific decision to revisit. A correction that arrives after they notice costs more than the original error.
- Add a standing completeness tile: timesheet submission lag, the share of entries where entered_at date minus work_date exceeds seven days, so the dashboard shows its own reliability rather than depending on you remembering.
Follow-up
- Leadership still wants to see the current week. What do you show, and how do you label it?
- One practice runs a three-day lag and another twenty days. Do you set one firm-wide cutoff or one per practice, and what does that cost in comparability?
Disagreeing with a proposed utilisation target using realisation evidence
A delivery lead proposes raising the billable utilisation target for analyst through senior_consultant from 72 to 85 percent. You have fct_time_entry, including is_billable, bill_rate_usd and written_off_hours, and fct_invoice_line. You believe the target will raise reported utilisation and lower fees. Prepare the disagreement: the evidence you pull, the mechanism you name, the metric pair you propose instead, and the condition under which you would concede that the target is correct.
Approach
- Name the probe: whether you disagree with a mechanism and a measurement, or with an opinion about a metric being bad.
- State the substitution precisely. Utilisation counts approved hours with is_billable = TRUE. An hour that is charged to the client and later written off stays in that numerator, so utilisation is unaffected while realisation, fees divided by hours times bill_rate_usd, falls and margin falls with it. That is the exact channel by which a higher target can raise the reported number and lower revenue.
- Pull the evidence at consultant-month grain: plot realisation and the write-off share, written_off_hours over billable hours, against utilisation decile. If the current top decile already shows lower realisation, the proposed target moves a large share of the staff into that regime.
- Stratify before concluding. Fixed_fee teams can show high utilisation and high realisation for reasons that have nothing to do with the proposal, so run the comparison within pricing_model and report the mix.
- Propose the pair rather than the veto: utilisation published with realisation and write-off rate as standing guardrails, with the threshold at which the combination is net positive stated in advance. Then name your concession condition: if the top utilisation decile shows no realisation penalty and bench hours are the binding constraint, the target is right and you will say so.
Follow-up
- Utilisation and realisation are computed from overlapping hours. Does that make the relationship you found mechanical rather than behavioural?
- How many consultant-months would you need to detect a three-point realisation move, and does the firm have them?
- 01
Share an experience where you had to convince a team or stakeholder of your point of view.
- 02
Six weeks ago you shipped a weekly billable-utilisation dashboard keyed on fct_time_entry.work_date. It showed a six-point drop across the three most recent weeks. A practice lead pulled two consultants off an engagement in response. The drop reversed on the next refresh, because time entries are created days to weeks after the work happens and entered_at trails work_date. Describe what you do now: the diagnosis, the change to the artifact, and the conversation with the person who acted on your number.
- 03
A delivery lead proposes raising the billable utilisation target for analyst through senior_consultant from 72 to 85 percent. You have fct_time_entry, including is_billable, bill_rate_usd and written_off_hours, and fct_invoice_line. You believe the target will raise reported utilisation and lower fees. Prepare the disagreement: the evidence you pull, the mechanism you name, the metric pair you propose instead, and the condition under which you would concede that the target is correct.
Is this an official Opera Solutions interview guide?
No. It is PracHub's own research and practice material for the Data Scientist role at Opera Solutions. Rounds and questions reflect what candidates have reported, not a process Opera Solutions has published, and they change over time. Confirm the current format and scope with your recruiter.
PracHub interview research ↗What is the interview difficulty level, and how much preparation time do you recommend?
The interview process at Opera Solutions is considered to have an average difficulty level. Candidates typically benefit from 2–4 weeks of focused preparation, especially in technical areas and behavioral questions.
PracHub interview research ↗What differentiates successful candidates?
Successful candidates often demonstrate a blend of strong technical expertise and effective communication skills. They can articulate their thought processes clearly and show adaptability in problem-solving.
PracHub interview research ↗What is the company culture like at Opera Solutions?
The culture at Opera Solutions emphasizes collaboration, innovation, and a focus on results. Employees are encouraged to think creatively and work closely with cross-functional teams.
PracHub interview research ↗What is the typical timeline from initial screen to offer?
The entire interview process can range from 2 to 6 weeks, depending on the team’s availability and scheduling. Candidates should be prepared for multiple rounds of interviews.
PracHub interview research ↗Sources & methodology 3 sources ↗
No official company page is cited. Rounds and questions come from candidate reports and PracHub editorial material; each source shows the date it was read.
- 01PracHub interview research ↗
PracHub editorial research into this company and role, maintained with this guide. Candidate-reported, not an employer publication.
PracHub page · Accessed 2026-09-22 - 02PracHub Data Scientist practice ↗
Cross-company practice questions for this role.
PracHub page · Accessed 2026-09-22 - 03PracHub interview preparation framework ↗
The framework the preparation plan follows.
PracHub page · Accessed 2026-09-22
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