We wish to determine a regression equation that relates the length of an infant(in cm) to age(in days)
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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 stat. *Note: under the gender variable: male
and female categories are assigned a value of 1 and 0, respectively.
Source
SS degrees of freedom
Model
316.8866 3
Residual
71.4734 8
Coefficient
Standard Error
Age
0.4798 0.0980
Weight
0.4020 1.0454
gender
1.3113 1.9591
cons
19.53 7.7829
Question.
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 βage, βweight and βgender at the 99% confidence
level.
d.
From (b) which parameters are statistically significant.
e.
Test whether or not there is a significant relationship between the infant's
length and the independent variables. Use a 0.01 level of significance. Use
only the critical value approach.
f.
Determine the Coefficient of Determination, interpret.
g.
Determine the Adjusted R^2, 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 weights 5.83kg.
In
case you cannot understand some questions(because she has her own style of
teaching statistic), please provide answers that you already have. Thank you so
much!!!
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