Dr. Castillejo feels that maximum pulse rate during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commander output below, check if the data on oxygen consumption and maximum pulse rate (from 152bpm to 196 bpm) support Dr. Castillejo's assertion. Make sure to interpret all necessary estimates. Give the expected oxygen consumption if maximum pulse rate is 160 bpm. Also, provide a measure that reports the adequacy of the model. R COMMANDER OUTPUT 1m (formula = oxygen.consumption maximum.pulse, data = aerobic) Coefficients: Estimate Std. Error t value Pr (>|t|) (Intercept) 74.427034 0.309902 240.16 maximum.pulse 0.132698 0.001774 74.81 <2e-16 *** <2e-16 *** Signif. codes: 0 ***** 0.001 ** 0.01 * 0.05 '.' 0.1'' 1 Residual standard error: 0.1222 on 48 degrees of freedom Multiple R-squared: 0.9915, Adjusted R-squared: F-statistic: 5597 on 1 and 48 DF, p-value: < 2.2e-16 0.9913
Dr. Castillejo feels that maximum pulse rate during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commander output below, check if the data on oxygen consumption and maximum pulse rate (from 152bpm to 196 bpm) support Dr. Castillejo's assertion. Make sure to interpret all necessary estimates. Give the expected oxygen consumption if maximum pulse rate is 160 bpm. Also, provide a measure that reports the adequacy of the model. R COMMANDER OUTPUT 1m (formula = oxygen.consumption maximum.pulse, data = aerobic) Coefficients: Estimate Std. Error t value Pr (>|t|) (Intercept) 74.427034 0.309902 240.16 maximum.pulse 0.132698 0.001774 74.81 <2e-16 *** <2e-16 *** Signif. codes: 0 ***** 0.001 ** 0.01 * 0.05 '.' 0.1'' 1 Residual standard error: 0.1222 on 48 degrees of freedom Multiple R-squared: 0.9915, Adjusted R-squared: F-statistic: 5597 on 1 and 48 DF, p-value: < 2.2e-16 0.9913
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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