During the 2008 MLB All Star Game Home Run Contest, Josh Hamilton put on an amazing show with his 35 home runs. The recorded Apex and Distance of each home run he hit is listed here: Apex€”The highest point reached by the ball in flight above field level, in feet. StdDist, Standard Distance€”The estimated distance in feet the home run would have traveled if it had flown uninterrupted all the way down to field level. Standard distance factors out the influences of wind, temperature, and altitude, and is thus the best way of comparing home runs hit under a variety of different conditions

a. Construct a scatter diagram using apex as x and standard distance as y.
b. Do the points seem to suggest a linear pattern? Explain.
c. Does it appear that the apex for the flight of a home run will be useful in predicting the home run€™s length? Explain, giving at least one reason that is non-statistical and at least one reason that is statistical.
d. What other factor about the flight of a home run might cause the pattern of points to be so varied?
e. Estimate the value of the linear correlation coefficient.
f. Calculate the correlation coefficient.

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Apex 100 14 145 45 98 130 105 94 59 StdDist 459 474 404 378 479 443 393 410 356 Apex 12 50 144 154 153 132 126 123 118 StdDist 430 390 411 418 423 455 421 464 440 Apex 7O 152 95 48 162 17 54 110 88 StdDist 432 435 447 386 364 447 379 423 442 Apex 125 47 119 111 84 55 153 116 StdDist 428 387 453 401 387 445 426 463 Source: http://www.hiftrackeronline.com