3/17 - Residuals and other review for Statistics

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

• A) As the number of coffee shops increase, violent crimes appears to increase.

• B) The line of best fit (regression line) shows a positive correlation

• C) The data has a positive correlation coefficient

• D) An increase in coffee shops causes an increase in violent crimes

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

• Positive, strong
• Positive, weak
• Zero
• Negative, strong

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

• Positive, strong
• Positive, weak
• Negative, strong
• Negative, weak

Tags

CCSS.HSF-LE.A.1B

• This residual graph represents a linear fit.
• This graph represents a nonlinear fit.
• This residual graph represents no fit.

Tags

CCSS.HSS.ID.C.8

• This residual plot represents a linear fit.
• This residual plot represents a nonlinear fit.
• This residual plot represents no fit.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

How do you calculate a residual?

• Observed - Predicted
• Predicted - Observed

What should a residual plot look like?

• Distinct Pattern
• Curve
• Random

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

After performing analyses on a set of data, Mrs. Schoeneck examined the scatter plot of the residual values for each analysis. Which scatter plot indicated the best linear fit for the data?

• A
• B
• C

Tags

CCSS.HSS.ID.B.6

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

• YES
• NO

Tags

CCSS.HSS.ID.B.6