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Help me with number 9b below and question 10 please.10. Using table (homerun data) above, anawer the following questions.(a) Find the least-squares regression line treating

Help me with number 9b below and question 10 please.10. Using table (homerun data) above, anawer the following questions.(a) Find the least-squares regression line treating speed as the explanatory variable and distance the baseball traveled as the response variable.(b) Predict the distance a baseball would travel if Jose Altuve hit a ball with a speed of 107.9 mph. Altuve did this in game 4 of the 2021 ALCS

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9. The following data represents the speed at which a baseball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in several MLB games. Use this data for problems 9 and 10. Speed (mph) Distance (feet) 107.9 441 110.4 427 103.5 422 105.4 418 105.2 414 101.7 411 103.3 408 101.0 405 103.6 402 101.4 399 100.7 396 101.3 393 Table 1 Source: baseballsavant.mlb.com (a) (10 pts) Compute the linear correlation coefficient between speed and distance. Note: The calculations will be large numbers. Speed, x Distance, y n - 12 10 7. 9 441 4758 3. 9 1642.41 194481 427 47140 , 8 12188. 16 182329 103. 5 42 2 4367720 10 712 . 25 1780 84 105.4 418 4405 72 MM109. 16 1747 24 105 . 2 414 43552.8 14067.04 171396 101 7 411 4 1798 . 7 10342, 89 168921 nExy - Exzy 10.3.3 408 42146.4 10670. 89 166464 101, 0 405 40905 10201 164 025 In Ex - ( E x ) = Inzy 2- (y ) = 103.6 402 41647 . 2 10732. 96 161604 (12).1512 655. 7)- (1245,4) (4936 ) 101.4 3gg 404 58. 6 10281. 96 159201 100 .7 396 3987 7 . 2 10 140 . 49 156816 (12(129350, 9) (1245. 4 ). 1 12 ( 203 24 94) - 1493 393 39810.9 10261 69 154 449 4574 101. 3 ~ 0.83 Ex = 1245. 4 Ey= 4936 Exy=512655.1 5x2- 129350.9 242- 2032494 1489.64). 125832 (b) (4 pts) Does a linear relation exist between the speed at which a baseball is hit and the distance the ball travels? Justify your response.10. Using Table 1 (homerun data) above, answer the following questions. (a) (10 pts) Find the least-squares regression line treating speed as the explanatory variable and distance the baseball traveled as the response variable. (b) (4 pts) Predict the distance a baseball would travel if Jose Altuve hit a ball with a speed of 107.9 mph. Note: Altuve did this in game 4 of the 2021 ALCS

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