Question

The equation of the regression line for the data in the table is ý = 4.1x - 139,

where x represents the height and ŷ is the predicted walking speed.
Student Height (in) Walking speed(min/min)
What is the meaning of 4.1 in the equation?
A. For every 1 m/min increase in walking speed, height increases by
4.1 inches.

B. For every 1-inch increase in height, walking speed increases by 4.1 m/min.
C. For every 1 m increase in distance walked, walking speed
increases by 4.1 m/min.

D. For every 1-minute increase in walking time, walking speed
increases by 4.1 m/min.

Answer 1

B

Explanation:

The equation is y = 4.1x - 139

It follows the general form of y = mx+b

Where m is the slope

What is the meaning of m??

Suppose m = 1.3

we would say, "for every unit change in x, there is 1.3 change in y"

Here, x is the height in inches and y is the walking speed in m/min

Thus, m = 4.1 in our equation and it means:

"For every unit (1 inch) change in height, walking speed increase by 4.1 m/min"

The answer choice B is right.