MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Researchers are interested in predicting the height of a child based on the heights of their mother
and father. Data were collected, which included height of the child ( height), height of the mother (
mothersheight ), and height of the father (fathersheight ). The initial analysis used the heights of the
parents to predict the height of the child (all units are inches). The results of the analysis, a multiple
regression, are presented below.
.
regress height mothersheight fathersheight
Source
Model
Residual
Total
height
mothersheight
fathersheight
_cons
SS
208.008457
314.295372
522.303829
df
2 104.004228
8.49446952
37
MS
39 13.3924059
Coef. Std. Err.
.6579529 .1474763
.2003584 .1382237
9.804327 12.39987
t P>|t|
4.46 0.000
C 0.156
0.79 0.434
Number of obs =
F( 2, 37) =
Prob > F
R-squared
Adj R-squared =
Root MSE
=
=
.3591375
-.0797093
-15.32021
=
40
12.24
0.0001
0.3983
0.3657
2.9145
[95% Conf. Interval]
.9567683
.4804261
34.92886
What are the null and alternative hypotheses corresponding to the test statistic labeled "C" and
its corresponding p-value in the output.
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Transcribed Image Text:Researchers are interested in predicting the height of a child based on the heights of their mother and father. Data were collected, which included height of the child ( height), height of the mother ( mothersheight ), and height of the father (fathersheight ). The initial analysis used the heights of the parents to predict the height of the child (all units are inches). The results of the analysis, a multiple regression, are presented below. . regress height mothersheight fathersheight Source Model Residual Total height mothersheight fathersheight _cons SS 208.008457 314.295372 522.303829 df 2 104.004228 8.49446952 37 MS 39 13.3924059 Coef. Std. Err. .6579529 .1474763 .2003584 .1382237 9.804327 12.39987 t P>|t| 4.46 0.000 C 0.156 0.79 0.434 Number of obs = F( 2, 37) = Prob > F R-squared Adj R-squared = Root MSE = = .3591375 -.0797093 -15.32021 = 40 12.24 0.0001 0.3983 0.3657 2.9145 [95% Conf. Interval] .9567683 .4804261 34.92886 What are the null and alternative hypotheses corresponding to the test statistic labeled "C" and its corresponding p-value in the output.
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