Correlation and Residuals

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.HSF-LE.A.1B

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

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

Rank these scatter plots according to the intensity of the correlation represented, from weakest to strongest.

• 1, 2, 3, 4
• 2, 4, 3, 1
• 4, 3, 2, 1
• 1, 3, 4, 2

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

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

Estimate the correlation coefficient.

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

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Estimate the correlation coefficient for this scatterplot.

• r = 1.2
• r = 0.89
• r = 0
• r = -0.89

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

The correlation coefficient r is a value between

• 0 and 1
• 0 and 100
• -1 and 1
• -2 and 2

Tags

CCSS.HSS.ID.C.8

What type of correlation exists between the number of people that go to the pool and the temperature outside.

• positive
• negative
• no correlation
• unknown

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

What type of correlation exists between the temperature outside and the number of hot chocolate sold at a football game.

• positive
• negative 
• no correlation
• unknown

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8