toto In physiology, an objective measure of aerobic fitness is how efficiently the body can absorb and use oxygen (oxygen consumption). A physiologist, Dr. Castillejo, conducted a research wherein subjects participated in a predetermined exercise run of 1.5 miles. Measurements of oxygen consumption as well as several other variables such as age, gender, runtime, resting and maximum pulse rates, and weight were recorded from 50 randomly selected gym members. Dr. Castillejo is interested in determining whether any of these other variables can help predict oxygen consumption. She believes that a possible link between these factors will help her determine how to improve the health of her gym members. Help Dr. Castillejo in developing a proposal for the improvement of her gym members' health condition. The variables are described below. gender- either male or female runtime-time to run 1.5 miles (in min) age - age of the gym member in years weight-weight of the gym member (in kg) oxygen consumption - measure of the ability to use oxygen in the blood stream (in ml/min) rest pulse - resting pulse rate (in bpm) maximum pulse - maximum pulse rate during the run (in bpm) 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 1m (formula = oxygen.consumption weight + maximum.pulse + gender, data = aerobic) 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 0.000*** 0.05516 5.25 0.03292 -1.28 0.208 gender [male] -0.04201 Signif. codes: 0 ***** 0.001 '**' 0.01 '*' 0.05 Residual standard error: 0.11373 on 47 degrees of freedom Multiple R-squared: 0.9929, Adjusted R-squared: 0.9925 F-statistic: 2155.13 on 3 and 46 DF, p-value: < 2.2e-16 R COMMANDER OUTPUT 1m (formula = oxygen.consumption weight + maximum.pulse, data = aerobic) 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 1יי0.1 '.'