2. 2. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot. log y 0.251+0.281 x Residuals Versus x (response is log y) log y 0.264+ 0.230 log x Residuals Versus log r (response is log y) Residual 0.015 F 0.075 f 0.010+ 0.050- 0.005+ 0.000 Residual 0.025- 0.000- -0.005+ -0.025 -0.010+ -0.050- -0.015+ 0.0 0.2 0.4 0.6 0.8 1.0 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 -0.0 log x Least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct? a) Model A is appropriate, since the relationship between x and y is linear. b) Model B is appropriate, since the relationship between x and y is linear. c) Model A is appropriate, since the relationship between log x and log y is linear. d) Model A is appropriate, since the relationship between log x and y is linear. e) Model B is appropriate, since the relationship between x and log y is linear. turay
2. 2. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot. log y 0.251+0.281 x Residuals Versus x (response is log y) log y 0.264+ 0.230 log x Residuals Versus log r (response is log y) Residual 0.015 F 0.075 f 0.010+ 0.050- 0.005+ 0.000 Residual 0.025- 0.000- -0.005+ -0.025 -0.010+ -0.050- -0.015+ 0.0 0.2 0.4 0.6 0.8 1.0 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 -0.0 log x Least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct? a) Model A is appropriate, since the relationship between x and y is linear. b) Model B is appropriate, since the relationship between x and y is linear. c) Model A is appropriate, since the relationship between log x and log y is linear. d) Model A is appropriate, since the relationship between log x and y is linear. e) Model B is appropriate, since the relationship between x and log y is linear. turay
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
Question
![2.
2. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were
fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot.
log y 0.251+0.281 x
Residuals Versus x
(response is log y)
log y 0.264+ 0.230 log x
Residuals Versus log r
(response is log y)
Residual
0.015 F
0.075 f
0.010+
0.050-
0.005+
0.000
Residual
0.025-
0.000-
-0.005+
-0.025
-0.010+
-0.050-
-0.015+
0.0
0.2
0.4
0.6
0.8
1.0
-1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 -0.0
log x
Least squares estimation of the parameters in Model B yielded the following equation and residual plot.
Which of the following conclusions is correct?
a) Model A is appropriate, since the relationship between x and y is linear.
b) Model B is appropriate, since the relationship between x and y is linear.
c) Model A is appropriate, since the relationship between log x and log y is linear.
d) Model A is appropriate, since the relationship between log x and y is linear.
e) Model B is appropriate, since the relationship between x and log y is linear.
turay](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa802ad33-eddf-4191-91c0-9e2cc15598e3%2F1043c301-e3c6-4a4a-9a26-c185dd1437e5%2F7dx8xh_processed.png&w=3840&q=75)
Transcribed Image Text:2.
2. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were
fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot.
log y 0.251+0.281 x
Residuals Versus x
(response is log y)
log y 0.264+ 0.230 log x
Residuals Versus log r
(response is log y)
Residual
0.015 F
0.075 f
0.010+
0.050-
0.005+
0.000
Residual
0.025-
0.000-
-0.005+
-0.025
-0.010+
-0.050-
-0.015+
0.0
0.2
0.4
0.6
0.8
1.0
-1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 -0.0
log x
Least squares estimation of the parameters in Model B yielded the following equation and residual plot.
Which of the following conclusions is correct?
a) Model A is appropriate, since the relationship between x and y is linear.
b) Model B is appropriate, since the relationship between x and y is linear.
c) Model A is appropriate, since the relationship between log x and log y is linear.
d) Model A is appropriate, since the relationship between log x and y is linear.
e) Model B is appropriate, since the relationship between x and log y is linear.
turay
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