5. Statistics and Probability

Correlation Regression — Quiz

Test your understanding of correlation regression with 5 practice questions.

Practice Questions

Question 1

A study finds a strong positive correlation between ice cream sales and drowning incidents. Which of the following is the most appropriate conclusion?

Question 2

The least-squares regression line for a dataset is given by $ \hat{y} = 50 - 1.5x $. If the coefficient of determination ($R^2$) is $0.81$, what is the correlation coefficient ($r$)?

Question 3

When constructing a least-squares regression line, which of the following statements about the sum of the squared residuals is true?

Question 4

A researcher is studying the relationship between the number of hours spent studying ($x$) and exam scores ($y$). They collect data and find a least-squares regression line of $ \hat{y} = 60 + 2.5x $. If a student studies for $8$ hours, and their actual exam score is $75$, what is the residual for this student?

Question 5

Which of the following statements best describes the concept of extrapolation in the context of linear regression?