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

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