Statistics and Regression Analysis Key
Concepts for Data Science Exam 2026
Questions and Answers Graded A+
ANOVA table - Correct answer-A table used to summarize the results of an
Analysis of Variance, showing the sources of variation and their contributions to
the total variance.
Coefficient of determination - Correct answer-A statistical measure (denoted as R²)
that indicates the proportion of the variance in the dependent variable that is
predictable from the independent variable(s).
Confidence interval - Correct answer-A range of values derived from sample
statistics that is likely to contain the value of an unknown population parameter.
Correlation coefficient - Correct answer-A numerical measure of the strength and
direction of the relationship between two variables, ranging from -1 to 1.
Dependent variable - Correct answer-The variable in a regression analysis that is
being predicted or explained, often denoted as Y.
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, Estimated regression equation - Correct answer-An equation that describes the
relationship between the dependent variable and one or more independent
variables, using estimated coefficients.
High leverage points - Correct answer-Data points that have a significant impact on
the slope of the regression line due to their extreme values in the independent
variable.
Independent variable - Correct answer-The variable in a regression analysis that is
used to predict the dependent variable, often denoted as X.
Influential observation - Correct answer-An observation that significantly affects
the results of a regression analysis, often due to its extreme values.
ith residual - Correct answer-The difference between the observed value and the
predicted value of the dependent variable for the ith observation.
Least squares method - Correct answer-A statistical technique used to minimize the
sum of the squares of the residuals in regression analysis.
Mean square error - Correct answer-The average of the squares of the errors,
calculated as the sum of squared residuals divided by the number of observations.
©COPYRIGHT 2025,ALL RIGHTS RESERVED 2
Concepts for Data Science Exam 2026
Questions and Answers Graded A+
ANOVA table - Correct answer-A table used to summarize the results of an
Analysis of Variance, showing the sources of variation and their contributions to
the total variance.
Coefficient of determination - Correct answer-A statistical measure (denoted as R²)
that indicates the proportion of the variance in the dependent variable that is
predictable from the independent variable(s).
Confidence interval - Correct answer-A range of values derived from sample
statistics that is likely to contain the value of an unknown population parameter.
Correlation coefficient - Correct answer-A numerical measure of the strength and
direction of the relationship between two variables, ranging from -1 to 1.
Dependent variable - Correct answer-The variable in a regression analysis that is
being predicted or explained, often denoted as Y.
©COPYRIGHT 2025,ALL RIGHTS RESERVED 1
, Estimated regression equation - Correct answer-An equation that describes the
relationship between the dependent variable and one or more independent
variables, using estimated coefficients.
High leverage points - Correct answer-Data points that have a significant impact on
the slope of the regression line due to their extreme values in the independent
variable.
Independent variable - Correct answer-The variable in a regression analysis that is
used to predict the dependent variable, often denoted as X.
Influential observation - Correct answer-An observation that significantly affects
the results of a regression analysis, often due to its extreme values.
ith residual - Correct answer-The difference between the observed value and the
predicted value of the dependent variable for the ith observation.
Least squares method - Correct answer-A statistical technique used to minimize the
sum of the squares of the residuals in regression analysis.
Mean square error - Correct answer-The average of the squares of the errors,
calculated as the sum of squared residuals divided by the number of observations.
©COPYRIGHT 2025,ALL RIGHTS RESERVED 2
