AP Stats Linear Regression and Correlation Review

A health researcher wishes to show that running can help reduce weight. x is the total running time per week (in minutes) and y is the amount of weight loss (in kg). From the regression line given, estimate the amount of weight loss if a person ran for four hours in a week, correct to 2 significant figures.

_____________________ is the use of a regression line for prediction outside the interval of x values used to obtain the line.

A residual...

• the difference between the actual value of y and the value of y predicted by the regression line

• actual y - predicted y

• the difference between the actual value of x and the value of x predicted by the regression line

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES

• NO

The ___________________ measures the percent of the variability in the response variable that is accounted for by the least-squares regression line.

• coefficient of determination

• coefficient of relaxation

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

• As x increases, y decreases

• As x increases, y increases

• As x decreases, y decreases

Use the LSRL to predict the Math score of a student with a Verbal score of 500.

• 540

• 489

• 447

• 291

The equation of the least squares regression line for a set of points in a scatterplot is given above. The point (5, 7) is one point on this scatterplot. Which of the following is the residual for the point (5, 7)?

• 6.25

• 4.05

• 0.71

• 0.75

• 7.87

A linear model was constructed for a set of bivariate data using least squares regression techniques. Given the residual plot shown, what conclusion should be drawn?

• A linear model was not a good fit for the data.

• A linear model was a good fit for the data.

• The correlation between the original variables is close to 1.

• The data was drawn from a population that was not normally distributed.

• The study was poorly designed.

• A

• B

• C

• D

• E