Correlation Coefficient and Residuals

Shown is a residual plot. How many positive residuals are there?

• 5

• 1

• 3

• 9

Shown is a residual plot. How many negative residuals are there?

• 5

• 1

• 3

• 9

Shown is a residual plot. How many zero residuals are there?

• 5

• 1

• 3

• 0

• This residual plot indicates a good model.

• This residual plot indicates a poor model.

A negative residual means...

• that the predicted value is too big

• that the predicted value is too small

• that the x value is too big

• that the x value is too small

After performing analyses on a set of data, Mrs. Schoeneck examined the scatter plot of the residual values for each analysis. Which scatter plot indicated the best linear fit for the data?

• A

• B

• C

A positive residual means...

• that the predicted value is too big

• that the predicted value is too small

• that the x value is too big

• that the x value is too small

Rank these scatter plots according to the intensity of the correlation represented, from weakest to strongest.

• 1, 2, 3, 4

• 2, 4, 3, 1

• 4, 3, 2, 1

• 1, 3, 4, 2

A residual is the vertical distance between a data point and a line of fit.

• True

• False

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

• YES

• NO