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Data Science Statistical Concepts and Analysis Questions and Answers Flashcards

6 cards from real Data Science practice questions. Tap to flip, then mark Knew It or Still Learning โ€” missed cards come back until you master them.

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  1. A data scientist observes that two variables have a Pearson correlation coefficient of -0.92. What does this indicate?

    Answer: A strong negative linear relationship

    A Pearson correlation of -0.92 indicates a strong negative linear relationship, meaning as one variable increases, the other decreases proportionally.

  2. Which assumption is NOT required for a valid ordinary least squares (OLS) linear regression?

    Answer: Normal distribution of independent variables

    OLS regression requires normality of residuals, not normality of the independent variables themselves.

  3. In a hypothesis test, a p-value of 0.03 with a significance level of 0.05 leads to which conclusion?

    Answer: Reject the null hypothesis

    Since the p-value (0.03) is less than the significance level (0.05), we reject the null hypothesis.

  4. What is the primary purpose of cross-validation in predictive modeling?

    Answer: To estimate how well a model generalizes to unseen data

    Cross-validation estimates a model's generalization performance by repeatedly training and testing on different subsets of the data.

  5. A dataset has a mean of 50, a median of 42, and a mode of 38. What type of skewness does this distribution exhibit?

    Answer: Positive skew

    When the mean is greater than the median, which is greater than the mode, the distribution is positively (right) skewed.

  6. Which metric is most appropriate for evaluating a classification model when the dataset has a 95:5 class imbalance?

    Answer: F1 Score

    The F1 Score balances precision and recall, making it far more informative than accuracy when classes are heavily imbalanced.