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1B. The accompanying 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 baseball game in 2018. Complete parts (a) through (d) below. Click here to view the baseball data.11 Click here to View a table of critical values for the correlation coefcient.12 (a) A researcher wants to determine if the speed with which the ball is hit may be used to predict the distance the ball travels. Based on this research goal. what is the explanatory variable? \":1 Distance 'V Speed (b) Draw a scatter diagram of the data. Choose the correct graph below. 3" A. C B. C1 c. _* D. 112 . 6' 112 Q .. 4 Q A 4 Q E E 3 E g Q E Q 7; Q 7; Q g g .3. .3. .. :4 1n :1 g 1:1 g 1:1 1 01100 > 37 37 375 '50 375 450 100 112 100 112 mam (teen Disramn (teem) Speed (mph) Speed (mph) (1:) Determine the linear correlation coefcient between speed and distance. r = (Round to three decimal places as needed.) (1!) Does a linear relation exist between the speed at which a ball is hit and the distance the ball travels? The variables speed at which the ball is hit and the distance the ball travels are (1) associated because r is positive and the absolute value of the correlation coefficient is (2) the critical value (Round to three decimal places as needed.) 11: Baseball Data Distance Speed @ (feet) (mph) 440 107.4 427 110.4 422 103.4 415 105.1 413 105.2 41 1 101.4 408 103.6 404 101.1 401 103.4 400 101.6 395 101.1 392 101.7 12: Critical Values for Correlation Coefficient Critical Values for Correlation Coefcient 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.656 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.512 (1) O positively (2) 0 less than 0 negatively O greater than 0 not YOU ANSWERED: A. 17. The accompanying data represent the total compensation for 12 randomly selected chief executive ofcers (CEO) and the company's stock performance in 2017. Complete pans (a) through (d) below. 13 Click the icon to View the CEO data. (a) One would think that a higher stock return would lead to a higher compensation. Based on this. what would likely be the explanatory variable? (If Stock return Compensation (b) Draw a scatter diagram of the data. Choose the correct graph below. 5'. Stock Return (-4.) E. >- 11" 0 m u -21) so 0 no 0 40 40 60 Stock mm [as] ceo Pay (mum) cao Pay (millluns) smut Return 11/.) (e) Determine the linear correlation coefcient between compensation and stock return. (Round to three decimal places as needed.) B xlitemnrnd.nearsnncmaom