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. Model 316.8866 3 0.4798 0.0980 age weight gender intercept Residual 71.4734 8 0.4020 1.0454 1.3113 1.9591 19.53 7.7829 a. What is the sample size for this problem?T 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.
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. Model 316.8866 3 0.4798 0.0980 age weight gender intercept Residual 71.4734 8 0.4020 1.0454 1.3113 1.9591 19.53 7.7829 a. What is the sample size for this problem?T 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer letters: e, f, g, and h
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.
Model
316.8866 3
0.4798
0.0980
age
weight
gender
intercept
Residual 71.4734
8
0.4020
1.0454
1.3113
1.9591
19.53
7.7829
a. What is the sample size for this problem?T
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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