A regression analysis between weight (Y in pounds) and height (X in inches) resulted in the following least squares line: = 140 + 5X. This implies that if the height is increased by 1 inch, the weight is expected to increase on average by 5 pounds.

Question

A regression analysis between weight (Y in pounds) and height (X in inches) resulted in the following least squares line:  = 140 + 5X. This implies that if the height is increased by 1 inch, the weight is expected to increase on average by 5 pounds.

Quizplus · Accepted Answer

The statement in the question is exactly what the slope of the least squares line (5) represents: the expected increase in weight for every 1 unit increase in height. Therefore, the statement is true.

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