Students in a small statistics course wanted to investigate if forearm length (i
ID: 3225640 • Letter: S
Question
Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.
Use three decimal places when reporting the results from any calculations, unless otherwise specified.
The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)
Coef
SE Coef
T
P
9.216
4.521
2.04
0.066
0.5735
0.1578
3.63
0.004
DF
SS
MS
F
P
1
44.315
44.315
13.20
0.004
11
36.916
3.356
12
81.231
Predicted Values for New Observations
Forearm (cm)
Fit
SE Fit
95% CI
95% PI
28
25.274
0.513
(24.144, 26.403)
(21.086, 29.461)
What is the test statistic for a test of the slope? What is the p-value? What is the conclusion of the test, in context?
Coef
SE Coef
T
P
Constant9.216
4.521
2.04
0.066
Forearm (cm)0.5735
0.1578
3.63
0.004
Explanation / Answer
from above given test results
test statistic for a test of the slope =3.63
p-value=0.004
as p value is less then 0.05 level of significance ; we reject null hypothesis.
the test given sufficient evidence to conclude that slopp B1 has significant value there exist a significant linear relationship b/'w foot and forearm