Residuals Review

If the actual y value is 10 , and the residual is 7, what is the predicted value?

• 17

• 10

• 7

• 3

If a graph has a predicted y value of 2, and a residual of 5, what is the actual y value?

• -3

• 2

• 5

• 7

The equation of the best fit line is y = 2x. What is the residual for x=5 and the actual y value = 10?

• 0

• 3

• 1

• 2

The equation of the best fit line is y = 1 + 7x. What is the residual when x = 2 and the actual y value is 16?

• 1

• -1

• 14

• 2

The equation of the best fit line is y = 5 - x. What is the residual when x = 3 and the actual y value is 1?

• 1

• -1

• -2

• 2

How do you calculate a residual?

• Actual value - Predicted value

• Predicted value - Actual value

• Actual value + Predicted value

• Predicted value + Actual value

Residuals are . . .

• possible models not explored by the researcher

• variation in the response variable that is explained by the model

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

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

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

• a

• b

• c

A residual is the vertical distance between a data point and a line of best fit.

• True

• False

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

• 5

• 1

• 3

• 0