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A sample of 15 golfers who played a golf course on a certain day was selected. For each golfer, the average driving distance (a), in yards, and the percent of fairways hit on the drive (y) were recorded. The scatterplot displays the percent of fairways hit versus the average driving distance. Also shown is the least- squares regression line, ŷ =66.228 +0.0002x. 85% 80%- 75% 70% Percent of 65% Fairways Hit 60% 55% 50% 45% 220 225 230 235 240 245 250 255 260 Average Driving Distance (yards) The point circled on the scatterplot is considered an influential point. A new least-squares regression line will be calculated with the influential point removed. How will the removal of the influential point affect the new least- squares regression line for the remaining 14 points? (A) The y-intercept will remain the same, and the slope will be negative. (B) The y-intercept will decrease, and the slope will be negative. (C) The y-intercept will decrease, and the slope will be positive. (D) The y-intercept will increase, and the slope will be negative. (E) The y-intercept will increase, and the slope will be positive.

A sample of 15 golfers who played a golf course on a certain day was selected. For each golfer, the average driving distance (a), in yards, and the percent of fairways hit on the drive (y) were recorded. The scatterplot displays the percent of fairways hit versus the average driving distance. Also shown is the least- squares regression line, ŷ =66.228 +0.0002x. 85% 80%- 75% 70% Percent of 65% Fairways Hit 60% 55% 50% 45% 220 225 230 235 240 245 250 255 260 Average Driving Distance (yards) The point circled on the scatterplot is considered an influential point. A new least-squares regression line will be calculated with the influential point removed. How will the removal of the influential point affect the new least- squares regression line for the remaining 14 points? (A) The y-intercept will remain the same, and the slope will be negative. (B) The y-intercept will decrease, and the slope will be negative. (C) The y-intercept will decrease, and the slope will be positive. (D) The y-intercept will increase, and the slope will be negative. (E) The y-intercept will increase, and the slope will be positive.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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A sample of 15 golfers who played a golf course on a certain day was selected. For each golfer, the average driving distance (a), in yards, and the percent of fairways hit on the drive (y) were recorded. The scatterplot displays the percent of fairways hit versus the average driving distance. Also shown is the least- squares regression line, ŷ =66.228 +0.0002x. 85% 80%- 75% 70% Percent of 65% Fairways Hit 60% 55% 50% 45% 220 225 230 235 240 245 250 255 260 Average Driving Distance (yards) The point circled on the scatterplot is considered an influential point. A new least-squares regression line will be calculated with the influential point removed. How will the removal of the influential point affect the new least- squares regression line for the remaining 14 points? (A) The y-intercept will remain the same, and the slope will be negative. (B) The y-intercept will decrease, and the slope will be negative. (C) The y-intercept will decrease, and the slope will be positive. (D) The y-intercept will increase, and the slope will be negative. (E) The y-intercept will increase, and the slope will be positive.
Transcribed Image Text:A sample of 15 golfers who played a golf course on a certain day was selected. For each golfer, the average driving distance (a), in yards, and the percent of fairways hit on the drive (y) were recorded. The scatterplot displays the percent of fairways hit versus the average driving distance. Also shown is the least- squares regression line, ŷ =66.228 +0.0002x. 85% 80%- 75% 70% Percent of 65% Fairways Hit 60% 55% 50% 45% 220 225 230 235 240 245 250 255 260 Average Driving Distance (yards) The point circled on the scatterplot is considered an influential point. A new least-squares regression line will be calculated with the influential point removed. How will the removal of the influential point affect the new least- squares regression line for the remaining 14 points? (A) The y-intercept will remain the same, and the slope will be negative. (B) The y-intercept will decrease, and the slope will be negative. (C) The y-intercept will decrease, and the slope will be positive. (D) The y-intercept will increase, and the slope will be negative. (E) The y-intercept will increase, and the slope will be positive.
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