M4U8D2 Regression Lines and 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

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

• YES
• NO

Tags

CCSS.HSS.ID.B.6

Estimate the correlation coefficient.

• r = -0.8
• r = -0.5
• r = 0.5
• r = 0.8

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CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

In a scatterplot r is called

• Coefficient of Determination
• Correlation coefficient
• Regression Line
• Slope

Tags

CCSS.HSS.ID.C.8

A scatter plot and residual plot are the same thing.

• True
• False

Tags

CCSS.HSS.ID.B.6

The Coefficient of Determination is 

• r squared
• r 
• r times the standard deviation of y over the standard deviation of x
• a + bx

Tags

CCSS.HSS.ID.C.8

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is 

 $m=-1.79+61.93h$ . Predict how far a person will travel driving 10 hours. 

• 617.51 miles

• 621.09 miles

• 100 miles

• 0.19 miles

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSS.ID.C.7

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is 

 $m=-1.79+61.93h$ . A person who traveled for 8 hours, went 443.65 miles.  What is the residual?

• 50 miles

• -50 miles

• 8 miles

• -25 miles

Tags

CCSS.HSA.SSE.A.1

A study conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is ...

• yield of the crop

• the experimeter

• amount of fertilizer applied to the soil

• the soil

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CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8