An author of a book discusses how statistics can be used to judge both a basebal

Question

An author of a book discusses how statistics can be used to judge both a baseball player's potential and a team's ability to win games. One aspect of this analysis is that a team's on-base percentage is the best predictor of winning percentage. The on-base percentage is the proportion of time a player reaches a base. For example, an on-base percentage of 0.3 would mean the player safely reaches bases 3 times out of 10, on average. For a certain baseball season, winning percentage, y, andon-base percentage, x, are linearly related by the least-squares regression equation

ModifyingAbove y with caretyequals=2.942.94xnegative 0.48750.4875.

Complete parts (a) through (d)

(a) Interpret the slope. Choose the correct answer below.

A.

For each percentage point increase in winning percentage, the on-base percentage will decrease by

2.942.94

percentage points, on average.

B.

For each percentage point increase in on-base percentage, the winning percentage will decrease by

2.942.94

percentage points, on average.

C.

For each percentage point increase in on-base percentage, the winning percentage will increase by

2.942.94

percentage points, on average.

D.

For each percentage point increase in winning percentage, the on-base percentage will increase by

2.942.94

percentage points, on average.

Explanation / Answer

y = 2.94 * x - 0.4875

slope = 2.94

Option-C) For each percentage point increase in on-base percentage, the winning percentage will increase by 2.94 percentage points, on average.

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