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Strength of Correlation Answers | Algebra I | Revolt

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Strength of Correlation Answers

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Consider the graph of the line of best fit, y = 0.5x + 1, and the given data points.

Question illustration

A

–2

B

–1

C

1

D

2

Find the residual values, and use the graphing calculator tool to make a residual plot.

Question illustration

A

Yes, because the points have no clear pattern.

B

No, the points have no pattern.

C

No, the points are in a linear pattern.

D

Yes, the points are in a curved pattern.

Use the table to find the residual points. Which residual plot is the correct one for the data?

Question illustration

A

A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.

Option A

B

A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.

Option B

C

A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.

Option C

D

A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.

Option D

Points and their residual values are shown in the table.

Question illustration

A

0.19

B

0.7

C

2

D

8

Consider the table showing the given, predicted, and residual values for a data set.

Question illustration

A

(1, -1.6)

B

(2, 1.5)

C

(3, 4.5)

D

(4, -0.6)

Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual values.

Question illustration

A

a = 0.4 and b = –0.15

B

a = –0.4 and b = 0.15

C

a = 8.6 and b = 14.25

D

a = –8.6 and b = –14.25

What does a residual value of –0.8 mean in reference to the line of best fit?

A

The given point is 0.8 units above the line of best fit.

B

The given point is 0.8 units below the line of best fit.

C

The line of best fit is not appropriate to the data.

D

The line of best fit has a slope of 0.8.

Consider the table showing the given, predicted and residual values for a data set.

Question illustration

A

(1, –2.2)

B

(2, 1.5)

C

(3, 3.7)

D

(4, 0.1)

Miguel wrote the predicted and residual values for a data set using the line of best fit y = 1.82x – 4.3. He left out two of the values.

Question illustration

A

a = 1.16 and b = 0.12

B

a = 1.16 and b = –0.12

C

a = 0.5 and b = 6.08

D

a = 0.5 and b = –6.08

Which residual plot shows that the line of best fit is a good model?

A

A graph shows both axes unnumbered. Points show a downward trend.

Option A

B

A graph shows both axes unnumbered. Points show an upward then downward trend.

Option B

C

A graph shows both axes unnumbered. Points are scattered all over the graph.

Option C

D

A graph shows both axes unnumbered. Points show a downward then upward trend.

Option D

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