A. Interpret the slope associated with mother's height and the intercept of this model. B. Calculate the test statistic that is labeled "C" in the output. C.What are the null and alternative hypotheses corresponding to the test statistic labeled "C" and its corresponding p-value in the output. H0: r = 0 HA: r ≠ 0 H0: b = 0 HA: b ≠ 0 H0: ρ = 0 HA: ρ ≠ 0 H0: β = 0 HA: β ≠ 0 D. 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? intercept of this model.
A. Interpret the slope associated with mother's height and the intercept of this model. B. Calculate the test statistic that is labeled "C" in the output. C.What are the null and alternative hypotheses corresponding to the test statistic labeled "C" and its corresponding p-value in the output. H0: r = 0 HA: r ≠ 0 H0: b = 0 HA: b ≠ 0 H0: ρ = 0 HA: ρ ≠ 0 H0: β = 0 HA: β ≠ 0 D. 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? intercept of this model.
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 6PPS
Related questions
Question
A. Interpret the slope associated with mother's height and the intercept of this model.
B. Calculate the test statistic that is labeled "C" in the output.
C.What are the null and alternative hypotheses corresponding to the test statistic labeled "C" and its corresponding p-value in the output.
H0: r = 0 HA: r ≠ 0
H0: b = 0 HA: b ≠ 0
H0: ρ = 0 HA: ρ ≠ 0
H0: β = 0 HA: β ≠ 0
D. 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?
intercept of this model.
![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
104.004228
2
37 8.49446952
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfd420c3-c431-4bea-be72-f009b8b62993%2F4dbda454-fdab-47a9-9606-db92bb2f37c4%2Fo5xss9_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
208.008457
314.295372
522.303829
df
104.004228
2
37 8.49446952
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
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