Question

HELP FAST

Answer 1

Given:

The speed, s, is measured in miles per hour, and distance, y, is measured in yards.

The regression line is given by

$\hat{Y}=4.17+52.45s$        ...(i)

To find:

The slope and y-intercept of the regression line.

Solution:

The general form of linear regression line is

$y=a+bx$    ...(ii)

where x is variable. In the given equation the variable is denoted by s.

On comparing (i) and (ii), we get

$a=4.17, b=52.45$

It means slope is 52.45 and y-intercept is 4.17.

The slope, b = 52.45, indicates that the distance increases by 52.45 yards for every one mile per hour of speed.

The y-intercept, a = 4.17, is the distance estimated by this model if the speed is zero miles per hour.

Therefore, the correct option is A.