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

 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).  

​(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.

Speed (mph) Distance (feet)

103.0 393

105.3 420

103.5 422

105.5 414

105.4 418

100.3 392

103.5 395

107.9 441

101.4 399

98.0 395

100.8 394

103.4 394

n Critical Values for Correlation Coefficient

3 0.997

4 0.950

5 0.878

6 0.811

7 0.754

8 0.707

9 0.666

10 0.632

11 0.602

12 0.576

13 0.553

14 0.532

15 0.514

16 0.497

17 0.482

18 0.468

19 0.456

20 0.444

21 0.433

22 0.423

23 0.413

24 0.404

25 0.396

26 0.388

27 0.381

28 0.374

29 0.367

30 0.361