Suppose that the regression for predicting weight (in pounds) from Height (in inches) is given by Weight -115+3.6 (Height) Which of the following statements is correct? I. A person who is 61 inches tall will weigh 104.6 poulds.
II. For every additional inch of height, the predicted weight will increase, on average by 3.6 pounds
III. The correlation between weight and height is negative.
A. II only
B. Iand II only
C. I only
D. II and III only
E. III only

B. I and II only.

Step-by-step explanation:

A person who is 61 inches tall is predicted to weight 104.6 pounds according to the regression model.

The slope of the linear regression model indicates the rate of change of the predicted variable in function of a unit change in the independent variable. In this case, for each additional inch in height, the predicted weight will increase, on average by 3.6 pounds, as indicated by the slope of this model.

As the slope m=3.6 is positive, the correlation is positive: when the independent variable increases, the predicted variable also increases.

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