HELP FAST Data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. The speed, s, is m

Question

HELP FAST
Data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. The speed, s, is measured in miles per hour, and distance, y, is measured in yards. The regression line is given by ŷ = 4.17 + 52.45s.

Identify the slope and y-intercept of the regression line. Interpret each value in context.
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.
The slope, b = 4.17, indicates that the distance increases by 4.17 yards for every one mile per hour of speed. The y-intercept, a = 52.45, is the distance estimated by this model if the speed is zero miles per hour.
The slope, b = 4.17, indicates that the distance decreases by 4.17 yards for every one mile per hour of speed. The y-intercept, a = 52.45, is the distance estimated by this model if the speed is one mile per hour.
The slope, b = 52.45, indicates that the distance decreases 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 one mile per hour.
The slope and y-intercept are unable to be determined from the regression line given.

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Gerda 4 years 2021-08-13T07:22:40+00:00 1 Answers 14 views 0

Answers ( )

  1. Thunguyet
    0
    2021-08-13T07:24:17+00:00
    Reply

    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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