Data Set 6-5
Given the regression equation
$\hat { Y }$
= 32 - 2X, where X is the number of complaints each quarter about a service man and Y is the number of months of employment.
-Refer to Data Set 6-5. The correlation coefficient of the data would be
A) positive
B) negative
C) zero
D) cannot tell unless a and b are given, too.

Question

Data Set 6-5
Given the regression equation
 $\hat { Y }$ 
= 32 - 2X, where X is the number of complaints each quarter about a service man and Y is the number of months of employment.
-Refer to Data Set 6-5. The correlation coefficient of the data would be
A) positive
B) negative
C) zero
D) cannot tell unless a and b are given, too.

Quizplus · Accepted Answer

The regression equation $\hat{Y} = 32 - 2X$ indicates a negative relationship between X (number of complaints) and Y (months of employment), as shown by the negative coefficient (-2) of X. This means as X increases, Y is expected to decrease, which implies a negative correlation.

Data Set 6-5 Given the Regression Equation Y^\hat { Y }Y^

Data Set 6-5
Given the Regression Equation $\hat { Y }$