7. Moreover, Dr. Castillejo suspects that other than maximum pulse rate (from 152bpm to 196 bpm), other variables such as gender and weight (from 53.14 to 85.99) also affect the oxygen consumption of the gym members. Based on the R commander output below, determine which predictor is linearly related to oxygen consumption. Make sure to interpret all necessary estimates. Also, provide a measure that reports the adequacy of the model.

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7. Moreover, Dr. Castillejo suspects that other than maximum pulse rate (from 152bpm to 196 bpm), other
variables such as gender and weight (from 53.14 to 85.99) also affect the oxygen consumption of the gym
members. Based on the R commander output below, determine which predictor is linearly related to
oxygen consumption. Make sure to interpret all necessary estimates. Also, provide a measure that reports
the adequacy of the model.
R COMMANDER OUTPUT
M
In (formula oxygen.consumption
data = aerobic)
weight + maximum pulse + gender,
Estimate Std. Error t value Pr (>|t|)
(Intercept)
61.56864
4.52025 13.62
0.000***
weight
-0.20851
0.07331 -2.84
0.007***
maximum pulse.
0.28978
0.05516
5.25 0.000***
0.03292 -1.28 0.208
gender [male]
-0.04201
Signif. codes: 0 ***** 0.001 *** 0.01 * 0.05 ¹.¹ 0.1 ' ¹1
Residual standard error: 0.11373 on 47 degrees of freedom
0.9925
F-statistic: 2155-13 on 3 and 46 DF. D-value: <2.2e-16
Multiple R-squared: 0.9929, Adjusted R-squared:
R COMMANDER OUTPUT
Im(formula = oxygen consumption weight + maximum pulse, data = aerobic)
N
Estimate Std. Error t value. Pr (>|t|)
(Intercept)
61.89566
4.54309 13.62
0.000***
weight
-0.20371
0.07370 -2.76
0.008***
maximum pulse.
0.28588
0.05544 5.16
0.000***
Signif. codes: 0 ***** 0.001 **** 0.01 * 0.05 . 0.1'' 1
Residual standard error: 0.1145 on 47 degrees of freedom
Multiple R-squared: 0.9927, Adjusted R-squared: 0.9924
F-statistic: 3189 on 2 and 47 DF, p-value: < 2.2e-16
Transcribed Image Text:7. Moreover, Dr. Castillejo suspects that other than maximum pulse rate (from 152bpm to 196 bpm), other variables such as gender and weight (from 53.14 to 85.99) also affect the oxygen consumption of the gym members. Based on the R commander output below, determine which predictor is linearly related to oxygen consumption. Make sure to interpret all necessary estimates. Also, provide a measure that reports the adequacy of the model. R COMMANDER OUTPUT M In (formula oxygen.consumption data = aerobic) weight + maximum pulse + gender, Estimate Std. Error t value Pr (>|t|) (Intercept) 61.56864 4.52025 13.62 0.000*** weight -0.20851 0.07331 -2.84 0.007*** maximum pulse. 0.28978 0.05516 5.25 0.000*** 0.03292 -1.28 0.208 gender [male] -0.04201 Signif. codes: 0 ***** 0.001 *** 0.01 * 0.05 ¹.¹ 0.1 ' ¹1 Residual standard error: 0.11373 on 47 degrees of freedom 0.9925 F-statistic: 2155-13 on 3 and 46 DF. D-value: <2.2e-16 Multiple R-squared: 0.9929, Adjusted R-squared: R COMMANDER OUTPUT Im(formula = oxygen consumption weight + maximum pulse, data = aerobic) N Estimate Std. Error t value. Pr (>|t|) (Intercept) 61.89566 4.54309 13.62 0.000*** weight -0.20371 0.07370 -2.76 0.008*** maximum pulse. 0.28588 0.05544 5.16 0.000*** Signif. codes: 0 ***** 0.001 **** 0.01 * 0.05 . 0.1'' 1 Residual standard error: 0.1145 on 47 degrees of freedom Multiple R-squared: 0.9927, Adjusted R-squared: 0.9924 F-statistic: 3189 on 2 and 47 DF, p-value: < 2.2e-16
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