A study on the relationship between the estriol levels of pregnant women and the birth weights of their children is given in the table. Here, x denotes estriol level, in mg/24 hr, and y denotes birth weight, in hectograms. Use the information to complete parts (a) through (d). 15 25 31 21 18 27 25 12 19 18 O 20 30 34 a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b) - (d). O A. There is a linear pattern to the data, so it is appropriate to carry out a linear regression. O B. There is a clear nonlinear pattern to the data, so it is inappropriate to carry out a linear regression. OC. There is no linear pattern to the data, so it is inappropriate to carry out a linear regression. b. Compute the coefficient of determination, . Select the correct choice below and fill in any answer boxes within your choice. O A. 2- (Round to four decimal places as needed.) O B. It is not appropriate to carry out a linear regression. c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. Select the correct choice below and fill in any answer boxes within your choice. O A. % (Round to two decimal places as needed.) O B. It is not appropriate to carry out a linear regression. d. State how useful the regression equation appears to be for making predictions. O A. Very useful OB. Not useful Oc. Moderately useful O D. It is not reasonable to carry out a linear regression.
A study on the relationship between the estriol levels of pregnant women and the birth weights of their children is given in the table. Here, x denotes estriol level, in mg/24 hr, and y denotes birth weight, in hectograms. Use the information to complete parts (a) through (d). 15 25 31 21 18 27 25 12 19 18 O 20 30 34 a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b) - (d). O A. There is a linear pattern to the data, so it is appropriate to carry out a linear regression. O B. There is a clear nonlinear pattern to the data, so it is inappropriate to carry out a linear regression. OC. There is no linear pattern to the data, so it is inappropriate to carry out a linear regression. b. Compute the coefficient of determination, . Select the correct choice below and fill in any answer boxes within your choice. O A. 2- (Round to four decimal places as needed.) O B. It is not appropriate to carry out a linear regression. c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. Select the correct choice below and fill in any answer boxes within your choice. O A. % (Round to two decimal places as needed.) O B. It is not appropriate to carry out a linear regression. d. State how useful the regression equation appears to be for making predictions. O A. Very useful OB. Not useful Oc. Moderately useful O D. It is not reasonable to carry out a linear regression.
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
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Transcribed Image Text:A study on the relationship between the estriol levels of pregnant women and the birth weights of their children is given in the table. Here, x denotes estriol level, in mg/24 hr, and y denotes birth weight, in hectograms. Use the information to complete parts (a) through (d).
15
31
42
25
21
18
27
12
19
16 -
30
38
25
34
29
y
a. Decide whether finding a regression line for the data
reasonable. If so, then also do parts (b) - (d).
O A. There is a linear pattern to the data, so it is appropriate to carry out a linear regression.
O B. There is a clear nonlinear pattern to the data, so it is inappropriate to carry out a linear regression.
O C. There is no linear pattern to the data, so it is inappropriate to carry out a linear regression.
b. Compute the coefficient of determination, . Select the correct choice below and fill in any answer boxes within your choice.
O A. 2=
(Round to four decimal places as needed.)
O B. It is not appropriate to carry out a linear regression.
c. Determine the percentage
variation in the observed values of the response variable explained by the regression, and interpret your answer. Select the correct choice below and fill in any answer boxes within your choice.
O A. se
(Round to two decimal places as needed.)
O B. It is not appropriate to carry out a linear regression.
d. State how useful the regression equation appears to be for making predictions.
O A. Very useful
O B. Not useful
OC. Moderately useful
O D. It is not reasonable
carry out a linear regression.
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