Residuals

How do you calculate a residual?

• Observed - Predicted
• Predicted - Observed

Residuals are . . . 

• possible models not explored by the researcher
• variation in the response variable that is explained by the model
• the difference between the observed response and the values predicted by the model
• data collected from individuals that is not consistent with the rest of the group

Find the residual of x = 4

• -1

• 1

• 3

• -3

Tags

CCSS.8.EE.C.8C

The equation of the least squares regression line is y (hat) = 1.3 + 0.73x.  What is the residual for the point (4,7)?

• 2.78
• 3.00
• 4.00
• 4.22

Tags

CCSS.8.EE.C.8C

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.

• I only
• II only
• I and II only
• I, II and III

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

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

• YES

• NO

• cannot be determined

Tags

CCSS.HSS.ID.B.6B

What is the residual when x=17

• 0

• 1

• -2

• 2

which value of x has the greatest residual?

• 5

• 2

• 1

• 3

Tags

CCSS.HSS.ID.C.7

Which x value has the largest residual?

Select all that apply

• 2

• 3

• 8

• 5

• 6

Tags

CCSS.HSS.ID.B.6B

What percent of residuals are greater than 0.5?

• 29%

• 43%

• 57%

• 71%