weight at birth (in kg). Below is portion of the regression analysis derived using a software. *Note: under the gender variable: male and female categories are assigned a value of 1 and 0, respectively. df Source Model Residual SS 316.8866| 3 71.4734 Coef. Std. Err. 0.4798 | 0.0980 age weight gender intercept | 19.53 8 0.4020 1.0454 1.3113 1.9591 7.7829 a. What is the sample size for this problem? b. Write the estimated regression equation, interpret each slope coefficients, use the proper unit of measurement. c. Test for significance of the Bage, Bweight, and ßgender at the 99% confidence level. d. From (b) which parameter/s is/are statistically significant. e. Test whether or not there is a significant relationship between the infant's length and the independent variables. Use a .01 level of significance. Use only the critical value approach. f. Provide the Coefficient of Determination, interpret. g. Determine the Adjusted R2, compared this with the value obtained from letter (d), are there any difference? Why? h. Estimate the length of a female infant that is 101 days old and weighs 5.83 kg.
weight at birth (in kg). Below is portion of the regression analysis derived using a software. *Note: under the gender variable: male and female categories are assigned a value of 1 and 0, respectively. df Source Model Residual SS 316.8866| 3 71.4734 Coef. Std. Err. 0.4798 | 0.0980 age weight gender intercept | 19.53 8 0.4020 1.0454 1.3113 1.9591 7.7829 a. What is the sample size for this problem? b. Write the estimated regression equation, interpret each slope coefficients, use the proper unit of measurement. c. Test for significance of the Bage, Bweight, and ßgender at the 99% confidence level. d. From (b) which parameter/s is/are statistically significant. e. Test whether or not there is a significant relationship between the infant's length and the independent variables. Use a .01 level of significance. Use only the critical value approach. f. Provide the Coefficient of Determination, interpret. g. Determine the Adjusted R2, compared this with the value obtained from letter (d), are there any difference? Why? h. Estimate the length of a female infant that is 101 days old and weighs 5.83 kg.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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Transcribed Image Text:1. We wish to determine a regression equation that relates the length of an infant (in cm) to age (in days), gender and
weight at birth (in kg). Below is portion of the regression analysis derived using a software. *Note: under the gender
variable: male and female categories are assigned a value of 1 and 0, respectively.
Source
S
df
Coef.
Std. Err.
316.8866 3
Residual 71.4734
Model
0.4798
0.0980
age
weight
gender
intercept
8
0.4020
1.0454
1.3113
1.9591
19.53
7.7829
a. What is the sample size for this problem?
b. Write the estimated regression equation, interpret each slope coefficients, use the proper unit of
measurement.
c. Test for significance of the Bage, Bweight, and ßgender at the 99% confidence level.
d. From (b) which parameter/s islare statistically significant.
e. Test whether or not there is a significant relationship between the infant's length and the
independent variables. Use a .01 level of significance. Use only the critical value approach.
f. Provide the Coefficient of Determination, interpret.
g. Determine the Adjusted R2, compared this with the value obtained from letter (d), are there any
difference? Why?
h. Estimate the length of a female infant that is 101 days old and weighs 5.83 kg.
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