Line of Best Fit Study Guide

Which graph most clearly shows a negative correlation between the x- and y- values?

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Tags

CCSS.8.EE.B.5

The linear regression equation for a data set is  $y=−1.2x+23.5$ . What is the rounded answer when  $x=8$  ?

• 14

• 33

• 73

• 96

Tags

CCSS.8.EE.C.8C

Which equation best represents the line of best fit for the data, if x represents the number of years since 2000?

• $y=39,625x+4,375$

• $y=4,375x+39,625$

• $y=1,750x+40,500$

• $y=40,500x+1,750$

Which correlation coefficient is most accurate for this data set?

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  $r=-0.3$
  

• $r=-0.9$

• $r=0.3$

• $r=0.9$

Tags

CCSS.HSS.ID.C.8

What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?

• The points should form an upward curve.

• The points should be scattered randomly.

• The points should appear to lie generally along a line.

• The points should form one line above the x-axis and another below it.

Tags

CCSS.8.F.A.3

The regression equation for a data set is  $y=1.6x-4.1$ . The actual value at x=3 is 0.9. What is the residual value at x=3?

•  $0.1$  

•  $0.2$  

•  $0.7$  

•  $0.9$  

Tags

CCSS.HSS.ID.B.6B

Which statement suggests causation?

• When you are at the beach, you get wet.

• When you study for a test, your classmate studies too.

• When you carry an umbrella to school, it rains.

• When you don’t brush your teeth, you get cavities.

Tags

CCSS.RI.4.3

CCSS.RI.5.3

CCSS.RI.6.3

CCSS.RI.7.3

CCSS.RI.8.3

Use a linear regression equation to predict how many bacteria there will be after 24 hours.

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  $35$
  

• $277$

• $463$

• $819$

For which set of data would a linear model best fit?

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Tags

CCSS.8.F.A.3

What is the linear regression equation for the points  $(-2,2),\ (0,1),\ (3,1)$ ?

•  $y=0.18x+1.4$  

•  $y=0.18x-1.4$  

•  $y=-0.18x+1.4$  

•  $y=-0.18x-1.4$  

Tags

CCSS.8.EE.B.5