Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO2max) is the single best measure of such fitness, but direct measurement is time-consuming and expensive. It is therefore desirable to have a prediction equation for VO2max in terms of easily obtained quantities. A sample is taken and variables measured are age (years), time necessary to walk 1 mile (mins), and heart rate at the end of the walk (bpm) in addition to the VO2 max uptake. The following output is from a multiple regression. Based on the F-test alone, what is the correct conclusion about the regression slopes? We did not find significant evidence to conclude that at least one slope differs from zero.   2)  We do not have the dataset, therefore, we are unable to make a conclusion about the slopes.   3)  All the regression slopes do not equal zero.   4)  At least one of the regression slopes does not equal zero.   5)  All the regression slopes are equal to zero.

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Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO2max) is the single best measure of such fitness, but direct measurement is time-consuming and expensive. It is therefore desirable to have a prediction equation for VO2max in terms of easily obtained quantities. A sample is taken and variables measured are age (years), time necessary to walk 1 mile (mins), and heart rate at the end of the walk (bpm) in addition to the VO2 max uptake. The following output is from a multiple regression. Based on the F-test alone, what is the correct conclusion about the regression slopes?

We did not find significant evidence to conclude that at least one slope differs from zero.
 

2) 

We do not have the dataset, therefore, we are unable to make a conclusion about the slopes.
 

3) 

All the regression slopes do not equal zero.
 

4) 

At least one of the regression slopes does not equal zero.
 

5) 

All the regression slopes are equal to zero.
Predictor
Constant
age
HR
time
s = 7.127
Analysis of Variance
SOURCE
Regression
Error
Total
Coef
36.14
-0.25
-0.361
-0.889
Stdev
36.526
0.299
0.279
0.735
R-sq 23.91%
DF
3
11
14
SS
175.59
558.69
734.28
t-ratio
0.99
-0.83
-1.29
-1.21
р
MS
58.53
50.79
0.3437
0.4215
0.2224
0.2521
R-sq (adj) = 3.16%
F
1.15
р
0.371
Transcribed Image Text:Predictor Constant age HR time s = 7.127 Analysis of Variance SOURCE Regression Error Total Coef 36.14 -0.25 -0.361 -0.889 Stdev 36.526 0.299 0.279 0.735 R-sq 23.91% DF 3 11 14 SS 175.59 558.69 734.28 t-ratio 0.99 -0.83 -1.29 -1.21 р MS 58.53 50.79 0.3437 0.4215 0.2224 0.2521 R-sq (adj) = 3.16% F 1.15 р 0.371
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