A student working on a physics project investigated the relationship between the speed and the height of roller coasters. The student collected data on the maximum speed, in miles per hour, and the maximum height, in feet, for a random sample of 21 roller coasters, with the intent of testing the slope of the linear relationship between maximum speed and maximum height. However, based on the residual plot shown, the conditions for such a test might not be met. 40 30- 20- 10- 0- -10 -20- -30- -40- 50 100 150 200 250 300 Height Based on the residual plot, which condition appears to have becen violated? (A) The errors are independent. (B) The sum of the residuals is 0. (C) The expected value of the erors is 0. (D) There is a linear relationship between the response variable and the explanatory variable. (E) The variance of the response variable is constant for all values of the explanatory variable. Residuals

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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. A student working on a physics project investigated the relationship between the speed and the height of roller
coasters. The student collected data on the maximum speed, in miles per hour, and the maximum height, in feet,
for a random sample of 21 roller coasters, with the intent of testing the slope of the linear relationship between
maximum speed and maximum height. However, based on the residual plot shown, the conditions for such a test
might not be met.
40
30-
20-
10
-10+•
-20+
-30+
-40-
0 50 100 150 200 250 300
Height
Based on the residual plot, which condition appears to have been violated?
(A) The errors are independent.
(B) The sum of the residuals is 0.
(C) The expected value of the errors is 0.
(D) There is a linear relationship between the response variable and the explanatory variable.
(E) The variance of the response variable is constant for all values of the explanatory variable.
Residuals
Transcribed Image Text:. A student working on a physics project investigated the relationship between the speed and the height of roller coasters. The student collected data on the maximum speed, in miles per hour, and the maximum height, in feet, for a random sample of 21 roller coasters, with the intent of testing the slope of the linear relationship between maximum speed and maximum height. However, based on the residual plot shown, the conditions for such a test might not be met. 40 30- 20- 10 -10+• -20+ -30+ -40- 0 50 100 150 200 250 300 Height Based on the residual plot, which condition appears to have been violated? (A) The errors are independent. (B) The sum of the residuals is 0. (C) The expected value of the errors is 0. (D) There is a linear relationship between the response variable and the explanatory variable. (E) The variance of the response variable is constant for all values of the explanatory variable. Residuals
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