Analyzing Residuals

A residual...

• the difference between the actual value of y and the value of y predicted by the regression line

• actual y - predicted y

• the difference between the actual value of x and the value of x predicted by the regression line

______________ plot is a scatterplot that displays the residuals on the vertical axis and the explanatory variable on the horizontal axis.

• residual

• predicted

• estimated

• left overs

To determine whether the regression model is appropriate, look at the residual plot.

• If there is no leftover curved pattern in the residual plot, the regression model is appropriate.

• If there is leftover curved pattern in the residual plot, the regression model is appropriate.

• If there is a leftover curved pattern in the residual plot, consider using a regression model with a different form.

• If there is not a leftover curved pattern in the residual plot, consider using a regression model with a different form.

Standard deviation of residuals s...

• The standard deviation of the residuals s measures the size of a typical residual.

• That is, s measures the typical distance between the actual y values and the predicted y values.

Use the dropdowns to complete the statements about the graph:

The strength of the linear relationship is ​ (a)   (strong/weak) because the residual values are relatively ​ (b)   (small/large) . The residuals on the graph ​ (c)   (show/do not show) a pattern.

• weak

• strong

• large

• small

• show

• do not show

Use the dropdowns to complete the statements about the graph: The strength of the linear relationship is ​ (a)   (strong/weak) because the residual values are relatively ​ (b)   (small/large) . The residuals on the graph ​ (c)   (show/do not show) a pattern.

• weak

• strong

• large

• small

• show

• do not show

Question 9

• 1

• 2

• 3

• 4

The residuals plot from a linear model is shown here.

The shape of the data indicates that the linear model is appropriate.

• TRUE

  because the plot is very linear

• FALSE

  because the plot is very linear

• TRUE

  because the slope is negative

• FALSE

  because the slope is negative

1) 

• A

• B

• C

• D

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

• YES

• NO