A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: . This implies that if the height is increased by 1 inch, the weight is expected to increase by an average of 6 pounds.

Question

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line:  . This implies that if the height is increased by 1 inch, the weight is expected to increase by an average of 6 pounds.

Quizplus · Accepted Answer

The slope of the least squares line (i.e. the coefficient of x) is 6, which means that for every 1 unit increase in x (i.e. height), y (i.e. weight) is expected to increase by 6 units on average. Therefore, if the height is increased by 1 inch, the weight is expected to increase by an average of 6 pounds.

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