The incorrect statement is (A) The slope is 3, which indicates that a mouse's weight should increase by about 3 grams for each additional millimeter of tail length.
Comparing the equation with the general form of a linear equation:
- y = bx + c ; b = slope , c = intercept
From here , we can see that the slope is 3.
However, the tail length increases by 3 grams for each additional millimeter of tail length.
Hence, the incorrect option is A.
Complete Question:
Choose the best answer. For a biology project, you measure the weight in grams (g) and the tail length in millimeters (mm) of a group of mice. The equation of the least-squares line for predicting tail length from weight is predicted tail length = 20 + 3 × weight.
Which of the following is not correct? (a) The slope is 3, which indicates that a mouse's weight should increase by about 3 grams for each additional millimeter of tail length. (b) The predicted tail length of a mouse that weighs 38 grams is 134 millimeters. (c) By looking at the equation of the least-squares line, you can see that the correlation between weight and tail length is positive. (d) If you had measured the tail length in centimeters instead of millimeters, the slope of the regression line would have been 3/10 = 0.3. (e) One mouse weighed 29 grams and had a tail length of 100 millimeters. The residual for this mouse is -7.