Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data.

a)

x-valuesResiduals A scatterplot with horizontal axis labeled "x-values" and vertical axis labeled "Residuals" contains points that appear randomly distributed.

b)

x-valuesResiduals A scatterplot with horizontal axis labeled "x-values" and vertical axis labeled "Residuals" contains points whose general pattern is a curve that falls and then rises from left to right.

c)

x-valuesResiduals A scatterplot with horizontal axis labeled "x-values" and vertical axis labeled "Residuals" contains points that have a wide vertical range on the left side of the plot and which become more and more tightly clustered from left to right. Points on the right side of the graph tightly follow the path of a horizontal line.

Question content area bottom

Part 1

?a) Choose the best answer for residuals plot

a.

A.The scattered residuals plot indicates an appropriate linear model. nothing nothing nothing nothing

Thescatteredresidualsplotindicates

anappropriatelinearmodel.

B.The residual plot indicates that most of the data fall roughly along a straight line comma with the exception of a single point. nothing

Theresidualplotindicatesthatmost

ofthedatafallroughlyalonga

straight

line,withtheexceptionof

asinglepoint.

C.The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. nothing

Thecurvedpatternintheresiduals

plotindicatesthatthelinearmodel

isnot

appropriate.Therelationship

isnotlinear.

D.

The linear residuals plot indicates an appropriate linear model.

Part 2

?b) Choose the best answer for residuals plot

b.

A.The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the value of the explanatory variable increases.

Thefannedpatternindicatesthatthe

linearmodelisnotappropriate.The

model's

predictingpowerdecreases

asthevalueoftheexplanatory

variableincreases.

B.The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. nothing

Thecurvedpatternintheresiduals

plotindicatesthatthelinearmodel

isnot

appropriate.Therelationship

isnotlinear.

C.

The linear residuals plot indicates an appropriate linear model.

D.The scattered residuals plot indicates an appropriate linear model. nothing nothing nothing nothing

Thescatteredresidualsplotindicates

anappropriatelinearmodel.

Part 3

?c) Choose the best answer for residuals plot

c.

A.The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the value of the explanatory variable increases.

Thefannedpatternindicatesthatthe

linearmodelisnotappropriate.The

model's

predictingpowerdecreases

asthevalueoftheexplanatory

variableincreases.

B.The fanned pattern indicates that the linear model is not appropriate. The model's predicting power increases as the value of the explanatory variable increases.

Thefannedpatternindicatesthatthe

linearmodelisnotappropriate.The

model's

predictingpowerincreases

asthevalueoftheexplanatory

variableincreases.

C.

The linear residuals plot indicates an appropriate linear model.

D.The scattered residuals plot indicates an appropriate linear model. nothing nothing nothing nothing

Thescatteredresidualsplotindicates

anappropriatelinearmodel.