\" 13: Regression Home Runs: The following data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (i feet) for a random sample of home runs in & Major League bascball game i Speed (mph) Distance (feet) By ey T B e 427 e T . 1054 o 105.5 PP 101.7 ao L LA 103.3 408 101.0 i 103.6 e 101.4 o e 018 - T A Source: baseballsavant.mlb.com (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. Predict the mean distance of all home runs hit at 105 mph. Slide 9: Numerically Summarizing Data 5 ph in Water: The acidity or alkalinity of a solution is measured using pH. A pH less than 7 is acidic; a pH greater than 7 is alkaline. The following data represent the PH in samples of bottled water and tap water. Tap 7.64 7.45 7.47 7.50 7.68 7.69 7.45 7.10 7.56 7.47 7.52 7.47 Bottled 5.15 5.09 5.26 5.20 5.02 5.23 5.28 5.26 5.13 5.26 5.21 5.24 Source: Emily McCarney, student at Joliet Junior College. (a) Determine the mean, median, and mode pH for each type of water. Comment on the differences between the two water types. (b) Suppose the pH of 7.10 in tap water was incorrectly recorded as 1.70. How does this affect the mean? the median?\f