Question

6. The median-median line for a dataset is y=1.133x+0.489

The least-squares regression line for the same dataset is y=1.068x+0.731. Which regression equation better predicts the y-value for the point (50, 60)

A. The median-median line regression line is a better prediction.
B. The least squares regression line is a better prediction.
C. The models predict the same value
D. The models predict different values that are equally inaccurate

(1 point)

Answer 1

Answer: The answer is B...........

Answer 2

The correct option is A. The median-median line regression line is a better prediction.

Explanation:

The given median-median line for a dataset is

`y=1.133x+0.489`

The least-squares regression line for the same dataset is

`y=1.068x+0.731`

The given point is (50,60).

Substitute x=50 in each given equation.

`y=1.133(50)+0.489=57.139`

`y=1.068(50)+0.731=54.131`

Since the value of median-median line at x=50 is near to 60 than the value of least-squares regression at x=50.

The median-median line regression line is a better prediction. Therefore the correct option is A.