A regression analysis between weight (y in pounds)and height (x in inches)resulted in the following least squares line: $\hat { y } = 120 + 5 x$ .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.

Question

Quizplus · Accepted Answer

According to the least squares line, for every one inch increase in height, the weight, on average, is expected to increase by 5 pounds. Therefore, the answer is C. A one inch increase in height will not necessarily lead to a one pound increase in weight, as indicated in choices A and B. Moreover, a 24 pound increase in weight would require a 4.8 inch increase in height, which is not necessarily realistic or supported by the given regression equation.

A Regression Analysis Between Weight (Y in Pounds)and Height (X y^=120+5x\hat { y } = 120 + 5 xy^​=120+5x

A Regression Analysis Between Weight (Y in Pounds)and Height (X $\hat { y } = 120 + 5 x$