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storchak [24]
3 years ago
13

HELP FAST

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

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.

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