(c) Predict the mean distance of all home runs hit at 103 mph. feet. The mean distance of all home runs hit at 103 mph is (Round to one decimal place as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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Question
Data Table
Speed (mph)
101.7
102.1
100.8
101.0
98.0
101.2
101.4
103.5
104.8
103.4
103.3
110.4
Print
Distance (feet)
411
392
394
405
395
392
399
422
421
394
408
427
Done
X
Transcribed Image Text:Data Table Speed (mph) 101.7 102.1 100.8 101.0 98.0 101.2 101.4 103.5 104.8 103.4 103.3 110.4 Print Distance (feet) 411 392 394 405 395 392 399 422 421 394 408 427 Done X
The following data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for
a random sample of home runs in a Major League baseball game in 2018. Complete parts (a) through (f).
Click here to view the data.
Click here to view the critical values of the correlation coefficient.
D. I ne siope of this least-squares regression line snows the increase in the speed that the pall was nit with every
1 foot increase in the distance that the ball was hit.
C. The slope of this least-squares regression line says that the distance the ball travels increases by the slope with
every 1 mile per hour increase in the speed that the ball was hit.
D. Interpreting the slope is not appropriate.
Now interpret the y-intercept.
A. The y-intercept of this least-squares regression line shows the speed that the ball is hit at when the distance
that the ball travels is zero.
B. The y-intercept of this least-squares regression line shows the distance that the ball would travel when the
speed that the ball is hit is zero.
C. The y-intercept of this least-squares regression line shows the increase in the speed that the ball was hit with
every 1 foot increase in the distance that the ball was hit.
D. Interpreting the y-intercept is not appropriate.
(c) Predict the mean distance of all home runs hit at 103 mph.
The mean distance of all home runs hit at 103 mph is
(Round to one decimal place as needed.)
feet.
Transcribed Image Text:The following data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in a Major League baseball game in 2018. Complete parts (a) through (f). Click here to view the data. Click here to view the critical values of the correlation coefficient. D. I ne siope of this least-squares regression line snows the increase in the speed that the pall was nit with every 1 foot increase in the distance that the ball was hit. C. The slope of this least-squares regression line says that the distance the ball travels increases by the slope with every 1 mile per hour increase in the speed that the ball was hit. D. Interpreting the slope is not appropriate. Now interpret the y-intercept. A. The y-intercept of this least-squares regression line shows the speed that the ball is hit at when the distance that the ball travels is zero. B. The y-intercept of this least-squares regression line shows the distance that the ball would travel when the speed that the ball is hit is zero. C. The y-intercept of this least-squares regression line shows the increase in the speed that the ball was hit with every 1 foot increase in the distance that the ball was hit. D. Interpreting the y-intercept is not appropriate. (c) Predict the mean distance of all home runs hit at 103 mph. The mean distance of all home runs hit at 103 mph is (Round to one decimal place as needed.) feet.
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