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Regression and Residuals

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Regression and Residuals
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What should a residual plot look like?

Distinct Pattern

Curve

Random

2.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

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

YES

NO

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

5

1

3

9

4.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

This residual plot represents a linear fit.
This residual plot represents a nonlinear fit.
This residual plot represents no fit.

5.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

If the point with the red x is removed from the scatterplot, what will happen to the slope of the LSRL and the correlation coefficient?

slope increases, r increases

slope decreases, r increases

slope increases, r decreases

slope decreases, r decreases

slope is unchanged, r increases

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

What is the value of the correlation coefficient?

0.891

-0.891

0.875

0.943

-0.943

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

The residual plots from five different least squares regression lines are shown below. Which of the plots shows the strongest evidence that its regression line is an appropriate model for the data and is consistent with the assumptions required for inference for regression?

Media Image
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