Correlation Coefficient

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