Linear Regression Quiz

1.Use linear regression to formulate an equation that can be used to model the relationship between the runner's distance and the time in minutes based on the information provided on the table.

Tags

AI.9.4.C

2.Use the equation or the graph that you created. What is the best prediction of the runner's distance if he runs for a total of 60 minutes?

(a)   miles

• 7.8
• 2.6

• 5.2

• 10.3

Tags

AI.9.4.C

3.What is the correlation coefficient (rounded to the nearest thousandth)?

(a)  

Does this situation represent association only, causation or neither?​ (b)  

• .129

• .046

• .997
• -.994

• causation
• association only
• neither

Tags

AI.9.4.A

4.What does the correlation coefficient reveal about the strength of the linear association between the runner's distance and the duration of his run?

​ (a)   correlation

• weak positive
• moderate positive
• strong negative
• no
• strong positive
• weak negative
• moderate negative

Tags

CCSS.HSS.ID.C.8

5.What does each correlation coefficient say about the relationship between x and y?

• r = 0.50

• Weak positive 

• r = -0.89

• Strong positive 

• r = -0.14

• Moderate positive

• r = 0.78

• Strong negative
• r = 0.23

• Weak negative 

Tags

AI.9.4.A

6.

A perfect negative correlation has a correlation coefficient of  (a)   .

A perfect positive correlation has a correlation coefficient of ​ (b)   .

A scatterplot with No correlation has a correlation coefficient of ​ (c)   .

• 1
• 0
• .33
• -.67
• .67
• -.33
• -1

Tags

AI.9.4.A

7.Estimate the correlation coefficient

(a)  

Interpret the strength of the relationship. ​ (b)  

• r = 1

• r = -1

• r ≈ -0.8
• r ≈ 0.8

• r ≈ -0.5

• strong negative
• strong positive
• moderate negative
• weak negative
• no correlation

Tags

AI.9.4.A

8.Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?

• There is a strong positive correlation between studying and grades.

• There is a strong negative correlation between studying and grades.

• There is a weak positive correlation between studying and grades.

• There is a weak negative correlation between studying and grades.

Tags

CCSS.HSS.ID.C.8

9.Based on the scatter plot, which statement best describes the trend?

• As the daily temperature increases, the number of beach visitors increases.

• As the daily temperature decreases, the number of beach visitors increases.

• As the daily temperature increases, there is no change in the number of beach visitors

• As the daily temperature increases, the number of beach visitors decreases

Tags

CCSS.HSS.ID.B.5

10.What is the correlation coefficient, and what does it say about the line?

• -.99 weak negative relationship

• -.99 strong negative relationship

• .99 strong positive relationship

• .99 weak positive relationship

Tags

CCSS.HSS.ID.C.8