What is the predicted height for a child born to a mother with a height of 67 inches and a father with a height of 71 inches?
What is the predicted height for a child born to a mother with a height of 67 inches and a father with a height of 71 inches?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
Related questions
Question
![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
df
208.008457
314.295372 37
2 104.004228
8.49446952
MS
522.303829 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 is the predicted height for a child born to a mother with a height of 67 inches and a father
with a height of 71 inches?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1195f155-04b4-4dc5-bc7c-08e6aaa2ddef%2Fcb3db66e-6091-41bd-a042-7abf168c2edd%2Fm1f6iu_processed.png&w=3840&q=75)
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
df
208.008457
314.295372 37
2 104.004228
8.49446952
MS
522.303829 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 is the predicted height for a child born to a mother with a height of 67 inches and a father
with a height of 71 inches?
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