Question

data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. the speed, s, is measured in miles per hour, and distance, y, is measured in yards. the line of fit is given by $hat{y}=3.98 + 53.59s$. if the ball travels for a duration of 5 seconds, what is the predicted distance of the ball? 267.95 yards 271.93 yards 283.87 yards 287.85 yards

Explanation:

Step1: Identify the speed value

We are not given the speed directly, but we know the ball travels for 5 seconds. However, we need to assume a speed value to use the regression - line equation $\hat{y}=3.98 + 53.59s$. Since the problem seems to be incomplete in providing the speed, if we assume a common - sense situation where we might consider a typical speed of a baseball hit. Let's assume the speed $s = 5$ miles per hour (a very basic assumption just to use the given line of fit formula).

Step2: Substitute the speed into the line - of - fit formula

Substitute $s = 5$ into $\hat{y}=3.98+53.59s$.
$\hat{y}=3.98 + 53.59\times5$
$=3.98+267.95$
$=271.93$

Answer:

271.93 yards