An exercise physiologist examined the association between measurement of VO 2max
ID: 3224401 • Letter: A
Question
An exercise physiologist examined the association between measurement of VO2max (ml·kg-1·min-1) using indirect open-circuit calorimetry and Cooper’s 12 minute walk-run test of cardio-respiratory fitness (# laps completed on a 440 yard track in 12 minutes) in a group of trained runners
Part F) What is the calculated statistical value for the association between VO2max and Cooper’s 12 minute walk-run test?
a. -0.75
b. 0.75
c. -0.92
d. 0.92
e. The statistical value cannot be calculated.
Part G) What are critical statistical values to test H0: no association between VO2max and Cooper’s 12 minute walk-run test at =0.01÷2 (2 tailed test)?
a. r=0.231, t=1.682
b. r=0.273, t=2.010
c. r=0.561, t=2.878
d. r=0.654, t=3.291
e. r=0.322, t=4.409
Part H) Select the correct statement below regarding the statistical decision and the conclusion regarding an association between VO2max and Cooper’s 12 minute test.
a. Fail to reject H0: r=0, VO2max and Cooper’s 12 minute test are not significantly associated with each other.
b. Reject H0: r=0, VO2max and Cooper’s 12 minute test are not significantly associated with each other..
c. Fail to reject H0: r=0, VO2max and Cooper’s 12 minute test are significantly associated with each other.
d. Reject H0: r=0, VO2max and Cooper’s 12 minute test are significantly and positively associated with each other.
e. Reject H0: r=0, VO2max and Cooper’s 12 minute test are significantly and negatively associated with each other.
Part I) Use the descriptive statistics provided in the tables above (X±sX for VO2max and Cooper’s 12 min walk-run score (# laps completed) and your calculated answer to Question #21 to generate an equation to predict the VO2max (Y) from Cooper’s 12 min walk-run score (X). Compare the predicted and the actual VO2max for subjects (ID) 5 and 20 and select the incorrect statement below.
a. Cooper explains 15% of the variance in VO2max, leaving 85% of the total variance as unexplained error variance.
b. The model underestimates VO2max for subject 20.
c. The model overestimates VO2max for subject 5.
d. Predicted VO2max from Cooper’s 12 min walk-run test is a valid field test of cardiorespiratory fitness.
ID oper-Mean)' vo, 107.1225 54.0225 1.1449 8.4 3937 14 21 .6225 634.55 44.2225 113.4225 125.44 2.4649 Max 75 25-8-95 25-y 25-1-95 25 75 25-4 75 75-6 C 14498 4 p86-4 5442 V 444555555 01, 2 3 4 5 6 7 8 9 0 ID-12745-078-9-10-11 2 3 4 5 6 7 8 19 20 n_x.ssMExplanation / Answer
Answer:
Part F) What is the calculated statistical value for the association between VO2max and Cooper’s 12 minute walk-run test?
a. -0.75
b. 0.75
c. -0.92
Answer: d. 0.92
e. The statistical value cannot be calculated.
Part G) What are critical statistical values to test H0: no association between VO2max and Cooper’s 12 minute walk-run test at =0.01÷2 (2 tailed test)?
a. r=0.231, t=1.682
b. r=0.273, t=2.010
Answer: c. r=0.561, t=2.878
d. r=0.654, t=3.291
e. r=0.322, t=4.409
Part H) Select the correct statement below regarding the statistical decision and the conclusion regarding an association between VO2max and Cooper’s 12 minute test.
a. Fail to reject H0: r=0, VO2max and Cooper’s 12 minute test are not significantly associated with each other.
b. Reject H0: r=0, VO2max and Cooper’s 12 minute test are not significantly associated with each other..
c. Fail to reject H0: r=0, VO2max and Cooper’s 12 minute test are significantly associated with each other.
Answer: d. Reject H0: r=0, VO2max and Cooper’s 12 minute test are significantly and positively associated with each other.
e. Reject H0: r=0, VO2max and Cooper’s 12 minute test are significantly and negatively associated with each other.
Part I) Use the descriptive statistics provided in the tables above (X±sX for VO2max and Cooper’s 12 min walk-run score (# laps completed) and your calculated answer to Question #21 to generate an equation to predict the VO2max (Y) from Cooper’s 12 min walk-run score (X). Compare the predicted and the actual VO2max for subjects (ID) 5 and 20 and select the incorrect statement below.
a. Cooper explains 15% of the variance in VO2max, leaving 85% of the total variance as unexplained error variance.
.
Correlation Matrix
vo2max
cooper
vo2max
1.000
cooper
.922
1.000
20
sample size
± .444
critical value .05 (two-tail)
± .561
critical value .01 (two-tail)
Regression Analysis
r²
0.850
n
20
r
0.922
k
1
Std. Error
3.243
Dep. Var.
vo2max
ANOVA table
Source
SS
df
MS
F
p-value
Regression
1,073.2675
1
1,073.2675
102.06
7.63E-09
Residual
189.2825
18
10.5157
Total
1,262.5500
19
Regression output
confidence interval
variables
coefficients
std. error
t (df=18)
p-value
95% lower
95% upper
Intercept
20.8234
3.9548
5.265
.0001
12.5147
29.1322
cooper
4.6045
0.4558
10.103
7.63E-09
3.6470
5.5621
Observation
vo2max
Predicted
Residual
1
45.750
46.609
-0.859
2
48.750
47.990
0.760
3
49.750
54.897
-5.147
4
52.750
49.832
2.918
5
53.750
59.041
-5.291
6
53.750
52.595
1.155
7
54.750
55.357
-0.607
8
57.750
53.976
3.774
9
57.750
60.422
-2.672
10
59.750
59.041
0.709
11
61.750
65.027
-3.277
12
61.750
66.408
-4.658
13
62.750
59.501
3.249
14
64.750
65.948
-1.198
15
65.750
66.408
-0.658
16
65.750
63.645
2.105
17
66.750
64.566
2.184
18
70.750
72.394
-1.644
19
70.750
67.329
3.421
20
76.750
71.013
5.737
Correlation Matrix
vo2max
cooper
vo2max
1.000
cooper
.922
1.000
20
sample size
± .444
critical value .05 (two-tail)
± .561
critical value .01 (two-tail)
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