A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: = 120 + 5x. 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 5 pounds
D) increase by 24 pounds
E) increase by 125 pounds

Question

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line:  = 120 + 5x. 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 5 pounds 
D) increase by 24 pounds 
E) increase by 125 pounds

Quizplus · Accepted Answer

The coefficient of x in the least squares line is 5, which means that for every increase in height of 1 inch, the weight, on average, is expected to increase by 5 pounds.

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