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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 (1) Click here to view the data Click here to view the critical values of the correlation coefficient. D (a) Find the least-squares regression line treating speed at which the ball was hit as the explanatory variable and distance the ball traveled as the response variable. (Round to three decimal places as needed) (b) Interpret the slope and y-intercept, if appropriate Begin by interpreting the slope OA. 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 OB. The slope of this least-squares regression line shows the distance that the ball would travel when the speed that the ball is hit is zero. OC. The slope 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 OD. Interpreting the slope is not appropriate Now interpret the y-intercept OA. 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 OB. 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. OC. 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 OD. Interpreting the y-intercept is not appropriate

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 (1) Click here to view the data Click here to view the critical values of the correlation coefficient. D (a) Find the least-squares regression line treating speed at which the ball was hit as the explanatory variable and distance the ball traveled as the response variable. (Round to three decimal places as needed) (b) Interpret the slope and y-intercept, if appropriate Begin by interpreting the slope OA. 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 OB. The slope of this least-squares regression line shows the distance that the ball would travel when the speed that the ball is hit is zero. OC. The slope 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 OD. Interpreting the slope is not appropriate Now interpret the y-intercept OA. 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 OB. 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. OC. 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 OD. Interpreting the y-intercept is not appropriate

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 (1) Click here to view the data. Click here to view the critical values of the correlation coefficient, CD (a) Find the least-squares regression line treating speed at which the ball was hit as the explanatory variable and distance the ball traveled as the response variable. ŷ=x+ (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Begin by interpreting the slope. OA. 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. OB. The slope of this least-squares regression line shows the distance that the ball would travel when the speed that the ball is hit is zero. OC. The slope 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. OD. Interpreting the slope is not appropriate. Now interpret the y-intercept. OA. 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 OB. 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. OC. 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. OD. Interpreting the y-intercept is not appropriate. Type here to search Ot # $ (?) TSLA News Bullish liji 19 Pass 40 5 6 8 9 7 3 4 2 JL "HallWlLERTY || U || | $ % & + 144 ( 4-11 اشال P = [ O J delete backspace 1 lock 7
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 (1) Click here to view the data. Click here to view the critical values of the correlation coefficient, CD (a) Find the least-squares regression line treating speed at which the ball was hit as the explanatory variable and distance the ball traveled as the response variable. ŷ=x+ (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Begin by interpreting the slope. OA. 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. OB. The slope of this least-squares regression line shows the distance that the ball would travel when the speed that the ball is hit is zero. OC. The slope 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. OD. Interpreting the slope is not appropriate. Now interpret the y-intercept. OA. 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 OB. 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. OC. 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. OD. Interpreting the y-intercept is not appropriate. Type here to search Ot # $ (?) TSLA News Bullish liji 19 Pass 40 5 6 8 9 7 3 4 2 JL "HallWlLERTY || U || | $ % & + 144 ( 4-11 اشال P = [ O J delete backspace 1 lock 7
571335&centerwin=yes Critical Values for Correlation Coefficient n 0.997 0.950 0.878 0811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0423 0413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 * hip Data Table 64°F Cloudy Speed (mph) 100.8 102.1 105.4 103.4 101.0 103.5 101.4 103.6 110.4 99.4 100.7 98.0 Print Distance (feet) 394 392 418 394 405 395 399 402 427 394 396 395 Done
Transcribed Image Text:571335&centerwin=yes Critical Values for Correlation Coefficient n 0.997 0.950 0.878 0811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0423 0413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 * hip Data Table 64°F Cloudy Speed (mph) 100.8 102.1 105.4 103.4 101.0 103.5 101.4 103.6 110.4 99.4 100.7 98.0 Print Distance (feet) 394 392 418 394 405 395 399 402 427 394 396 395 Done
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