An exercise science major wants to try to use body weight to predict how much so
ID: 3389363 • Letter: A
Question
An exercise science major wants to try to use body weight to predict how much someone can bench press. He collects the data shown below on 30 male students. Both quantities are measured in pounds.
Body weight,Bench press
147, 139
127, 139
154, 129
209, 155
201, 169
153, 135
188, 155
174, 163
139, 126
129, 115
167, 143
142, 124
185, 160
161, 147
217, 161
133, 110
180, 148
213, 159
134, 119
135, 128
184, 155
168, 159
209, 157
132, 139
121, 122
179, 158
204, 162
137, 126
148, 142
131, 139
a) What type of association does there appear to be between these two variables?
no association
can not be determined
negative association
positive association
b) Compute a 95% confidence interval for the average bench press of 150 pound males. What is the lower limit? Give your answer to two decimal places.
c) Compute a 95% confidence interval for the average bench press of 150 pound males. What is the upper limit? Give your answer to two decimal places.
d) Compute a 95% prediction interval for the bench press of a 150 pound male. What is the lower limit? Give your answer to two decimal places.
e) Compute a 95% prediction interval for the bench press of a 150 pound male. What is the upper limit? Give your answer to two decimal places.
Explanation / Answer
a) What type of association does there appear to be between these two variables?
no association
can not be determined
negative association
positive association
b) Compute a 95% confidence interval for the average bench press of 150 pound males. What is the lower limit? Give your answer to two decimal places.
132.92 pounds
c) Compute a 95% confidence interval for the average bench press of 150 pound males. What is the upper limit? Give your answer to two decimal places.
140.17 pounds
d) Compute a 95% prediction interval for the bench press of a 150 pound male. What is the lower limit? Give your answer to two decimal places.
118.12 pounds
e) Compute a 95% prediction interval for the bench press of a 150 pound male. What is the upper limit? Give your answer to two decimal places.
154.98 pounds
Regression Analysis
r²
0.722
n
30
r
0.850
k
1
Std. Error
8.822
Dep. Var.
Bench press
ANOVA table
Source
SS
df
MS
F
p-value
Regression
5,654.1863
1
5,654.1863
72.65
2.89E-09
Residual
2,179.1804
28
77.8279
Total
7,833.3667
29
Regression output
confidence interval
variables
coefficients
std. error
t (df=28)
p-value
95% lower
95% upper
Intercept
66.7451
9.0633
7.364
5.10E-08
48.1797
85.3105
Body weight
0.4653
0.0546
8.523
2.89E-09
0.3535
0.5772
Predicted values for: Bench press
95% Confidence Interval
95% Prediction Interval
Body weight
Predicted
lower
upper
lower
upper
Leverage
150
136.547
132.924
140.169
118.116
154.977
0.040
Regression Analysis
r²
0.722
n
30
r
0.850
k
1
Std. Error
8.822
Dep. Var.
Bench press
ANOVA table
Source
SS
df
MS
F
p-value
Regression
5,654.1863
1
5,654.1863
72.65
2.89E-09
Residual
2,179.1804
28
77.8279
Total
7,833.3667
29
Regression output
confidence interval
variables
coefficients
std. error
t (df=28)
p-value
95% lower
95% upper
Intercept
66.7451
9.0633
7.364
5.10E-08
48.1797
85.3105
Body weight
0.4653
0.0546
8.523
2.89E-09
0.3535
0.5772
Predicted values for: Bench press
95% Confidence Interval
95% Prediction Interval
Body weight
Predicted
lower
upper
lower
upper
Leverage
150
136.547
132.924
140.169
118.116
154.977
0.040
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.