5. Functions & Modeling

Linear Models — Quiz

Test your understanding of linear models with 5 practice questions.

Practice Questions

Question 1

Which of the following statements accurately describes the $R^2$ value in the context of linear regression?

Question 2

A company's monthly profit $P$ (in thousands of dollars) is modeled by the linear function $P = 2.5t - 10$, where $t$ is the number of months since the company started. What is the interpretation of the $P$-intercept in this model?

Question 3

If a scatter plot shows data points that are widely dispersed and do not follow any clear pattern, what can be concluded about the correlation between the two variables?

Question 4

A linear regression line is given by the equation $y = -0.75x + 15$. If the actual value of $y$ for a given $x$ is $12$, and the predicted value from the model is $13.5$, what is the residual for this data point?

Question 5

Which of the following best describes the process of extrapolation in the context of linear models?