A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: = 128 + 6x. This implies that if the height is increased by 1 inch, the weight on average is expected to:
A) increase by 1 pound
B) decrease by 1 pound
C) increase by 6 pounds
D) decrease by 6 pounds
E) increase by 134 pounds

Question

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line:  = 128 + 6x. This implies that if the height is increased by 1 inch, the weight on average is expected to:
A) increase by 1 pound 
B) decrease by 1 pound 
C) increase by 6 pounds 
D) decrease by 6 pounds 
E) increase by 134 pounds

Quizplus · Accepted Answer

According to the least squares line, the coefficient for height is 6. This means that for every 1 inch increase in height, the weight is expected to increase by an average of 6 pounds. Therefore, the answer is choice C.

A Regression Analysis Between Weight (Y in Pounds) and Height