Quiz about Correlation, Linear Regression, Residuals Review

Question 1

What is another name for the line of best fit?

Hint: There may be more than one answer.

Accepted Answer

Linear regression

Accepted Answer

Trend line

Answer

Prediction line

Answer

Fun line

Question 2

On a scatter plot, where can you find PREDICTED y-values?

Accepted Answer

On the regression line

Answer

The data points

Question 3

On a scatter plot, where can you find ACTUAL y-values?

Accepted Answer

The data points

Answer

On the regression line

Question 4

Which indicates a causal relationship?

Accepted Answer

Driving more miles and using more gas

Answer

A rooster crowing and the sun rising

Answer

Eating salty food and buying a drink

Answer

Going to the beach and building a sand castle

Question 5

Estimate the correlation coefficient.

Accepted Answer

r = 0.8

Answer

r = -0.8

Answer

r = -0.5

Answer

r = 0.5

Question 6

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

Accepted Answer

YES

Answer

NO

Question 7

What should a residual plot look like?

Accepted Answer

Random

Answer

Distinct Pattern

Answer

Curve

Question 8

As study time _______________, errors _______________.

Accepted Answer

increases ; decrease

Answer

increases ; increase

Answer

decreases; decrease

Answer

increases ; stays the same

Question 9

Shown is a residual plot.
Would a linear regression model be a good fit?

Accepted Answer

NO

Answer

YES

Question 10

This implies that one variable has a direct affect on the other variable.

Accepted Answer

Causation

Answer

Correlation

Question 11

A correlation shows that two things are

Accepted Answer

Answer

causing each other

Answer

unrelated

Question 12

What is a line of best fit used for?

Accepted Answer

To make predictions

Answer

To make the graph look pretty

Answer

To connect the points

Question 13

Which sentence describes the relationship shown on this scatterplot?

Accepted Answer

As the temperature increases, the number of visitors increases.

Answer

As the temperature decreases, the visitors increase.

Answer

As the visitors increase, the temperature decreases.

Answer

No correlation

Question 14

Estimate the correlation coefficient for this scatterplot.

Accepted Answer

r = -0.9

Answer

r = 0.4

Answer

r = 0.9

Answer

r = -0.4

Question 15

Estimate the correlation coefficient for this scatterplot.

Accepted Answer

r = 0.89

Answer

r = 1.2

Answer

r = 0

Answer

r = -0.89

Question 16

r=0.3

Accepted Answer

Weak positive

Answer

Strong positive

Answer

Strong negative

Answer

Weak negative

Question 17

r=-0.89

Accepted Answer

Strong negative

Answer

Strong positive

Answer

Weak positive

Answer

Weak negative

Question 18

Which scatter plot shows a linear relationship between x and y?

Accepted Answer

Graph C

Answer

Graph A

Answer

Graph B

Answer

Graph D

Question 19

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 6 chapters.

Accepted Answer

60 pages

Answer

100 pages

Answer

170 pages

Answer

20 pages

Question 20

What is the type of correlation?

Accepted Answer

no association

Answer

Negative

Answer

positive

Question 21

What type of correlation describes the following sentence:
The temperature outside and the number of hot chocolate sold at a football game.

Accepted Answer

negative

Answer

postive

Answer

no

Question 22

A correlation shows that two things are

Accepted Answer

Answer

causing each other

Answer

unrelated

Answer

causation

Question 23

How do you calculate a residual?

Accepted Answer

Actual value - Predicted value

Answer

Predicted value - Actual value

Answer

Actual value + Predicted value

Answer

Predicted value + Actual value

Question 24

Residuals are . . .

Accepted Answer

the difference between the actual or observed response and the values predicted by the model

Answer

possible models not explored by the researcher

Answer

variation in the response variable that is explained by the model

Answer

data collected from individuals that is not consistent with the rest of the group

Question 25

Which is TRUE?
I. Random scatter in the residuals indicates a linear model.
II. If two variables are very strongly associated, then the correlation between them will be near 1 or -1.
III. Changing the units of measurement for x or y changes the correlation coefficient.

Accepted Answer

I and II only

Answer

I only

Answer

II only

Answer

I, II and III

Question 26

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?

Accepted Answer

A

Answer

B

Answer

C

Question 27

Which situation does not describe a causal relationship?

Accepted Answer

The faster a student types a research paper, the more pages the paper will have.

Answer

The higher the volume on a radio, the louder the sound will be.

Answer

The shorter the distance driven, the less gasoline that will be used.

Answer

The slower the pace of a runner, the longer it will take the runner to finish the race.

Question 28

Beverly did a study this past spring using data she collected from a cafeteria. She recorded data weekly for ice cream sales and soda sales. Beverly found the line of best fit and the correlation coefficient, as shown in the diagram.

Given this information, which statement(s) can correctly be concluded?

I. Eating more ice cream causes a person to become thirsty.

II. Drinking more soda causes a person to become hungry.

III. There is a strong correlation between ice cream sales and soda sales.

Accepted Answer

III, only

Answer

I, only

Answer

II and III

Answer

I and III

Question 29

What type of relationship exists between the number of pages printed on a printer and the amount of ink used by that printer?

Accepted Answer

positive correlation, and causal

Answer

positive correlation, but not causal

Answer

negative correlation, but not causal

Answer

negative correlation, and causal

Question 30

Analysis of data from a statistical study shows a linear relationship in the data with a correlation coefficient of -0.524. Which statement best summarizes this result?

Accepted Answer

There is a moderate negative correlation between the variables.

Answer

There is a strong positive correlation between the variables.

Answer

There is a strong negative correlation between the variables.

Answer

There is a moderate positive correlation between the variables.

Question 31

The results of a linear regression are shown.

Which phrase best describes the relationship between x and y?

Accepted Answer

strong negative correlation

Answer

strong positive correlation

Answer

weak negative correlation

Answer

weak positive correlation

Question 32

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 33

Which residual plot shows that a linear regression model would be most appropriate?

Accepted Answer

b

Answer

a

Answer

c

Correlation, Linear Regression, Residuals Review

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