Correlation Coefficients Residuals

Given this regression information in Desmos, what is the correlation coefficient?

• 0.9023

• 0.9499

• 3.20693

• 28.0081

A positive correlation between two variables means...

• that as one variable increases, the other variable also increases

• that as one variable increases, the other variable decreases

• that as one variable decreases, the other variable increases

• the two variables are happy

A negative correlation between two variables means...

• that as one variable increases, the other variable also increases

• that as one variable increases, the other variable decreases

• that as one variable decreases, the other variable also decreases

• the two variables are unhappy

Given this regression line information in Desmos, what is the equation of the regression line?

• y = 0.9499x

• y = 3.2x + 28

• y = 0.95x + 0.90

• y = 28x + 3.2

Question 55

• 1

• 2

• 3

• 4

Use Desmos to generate the linear regression model for this data set. What is the correlation coefficient, r?

• 0.9499

• 11.7313

• 193.852

• 0.9746

What is the value of the correlation coefficient?

• 0.891

• -0.891

• 0.875

• 0.943

• -0.943

Which phrase best describes the relationship between x and y?

• strong negative correlation

• strong positive correlation

• weak negative correlation

• weak positive correlation

Base your answer to the following question on the following information. The table below displays the win/loss record of American League teams through 79 games in the 2006 season with the earned run averages of each team.
What is the correlation coefficient between wins and ERA?

• r = –0.66 

• r = –0.78

• r = –0.82

• r = –0.90

If a linear model is applied to these data, which statement best describes the correlation coefficient?

• It is close to −1.

• It is close to 1.

• It is close to 0.

• It is close to 0.5.