Data were obtained in a study of the oxygen uptake of 31 middle-aged-males and females while exercising.The researchers were interested in the use of a variety of variables as predictors of Oxygen Uptake.The variables that were measured on the subjects were Age,Weight,the time taken to run a specified distance (Runtime) ,pulse rate at the end of the run (RunPulse) ,their resting pulse rate (RstPulse) ,and their maximum pulse rate during the run (MaxPulse) .The following table from a computer analysis of the data is provided (with some entries deleted and replaced by ** ) . ** ) . In the above computer output we note that the t ratio for the variable RunPulse is -3.04,with a P-value of 0.0056.What is the best interpretation of this result? A) The small P-value suggests that the variable RunPulse is not a significant predictor of Oxygen Uptake. B) There is strong evidence that RunPulse is an important variable. C) When assessing the value of variables for predicting Oxygen Uptake,the variable RunPulse by itself is very important. D) The small P-value suggests that the variable RunPulse is statistically significant when all the other predictor variables are included in the regression equation. E) The regression equation should include RunPulse since it is a statistically significant variable. class=answers-bank-image d-block rel=preload In the above computer output we note that the t ratio for the variable RunPulse is -3.04,with a P-value of 0.0056.What is the best interpretation of this result?A) The small P-value suggests that the variable RunPulse is not a significant predictor of Oxygen Uptake.B) There is strong evidence that RunPulse is an important variable.C) When assessing the value of variables for predicting Oxygen Uptake,the variable RunPulse by itself is very important.D) The small P-value suggests that the variable RunPulse is statistically significant when all the other predictor variables are included in the regression equation.E) The regression equation should include RunPulse since it is a statistically significant variable.

Question

Data were obtained in a study of the oxygen uptake of 31 middle-aged-males and females while exercising.The researchers were interested in the use of a variety of variables as predictors of Oxygen Uptake.The variables that were measured on the subjects were Age,Weight,the time taken to run a specified distance (Runtime) ,pulse rate at the end of the run (RunPulse) ,their resting pulse rate (RstPulse) ,and their maximum pulse rate during the run (MaxPulse) .The following table from a computer analysis of the data is provided (with some entries deleted and replaced by  ** ) .  ** ) .   In the above computer output we note that the t ratio for the variable RunPulse is -3.04,with a P-value of 0.0056.What is the best interpretation of this result? A) The small P-value suggests that the variable RunPulse is not a significant predictor of Oxygen Uptake. B) There is strong evidence that RunPulse is an important variable. C) When assessing the value of variables for predicting Oxygen Uptake,the variable RunPulse by itself is very important. D) The small P-value suggests that the variable RunPulse is statistically significant when all the other predictor variables are included in the regression equation. E) The regression equation should include RunPulse since it is a statistically significant variable. class=answers-bank-image d-block rel=preload > In the above computer output we note that the t ratio for the variable RunPulse is -3.04,with a P-value of 0.0056.What is the best interpretation of this result?A) The small P-value suggests that the variable RunPulse is not a significant predictor of Oxygen Uptake.B) There is strong evidence that RunPulse is an important variable.C) When assessing the value of variables for predicting Oxygen Uptake,the variable RunPulse by itself is very important.D) The small P-value suggests that the variable RunPulse is statistically significant when all the other predictor variables are included in the regression equation.E) The regression equation should include RunPulse since it is a statistically significant variable.

Debbi Hinderliter · Accepted Answer

Final Answer : D, Explanation :  A small P-value (here 0.0056) indicates strong evidence against the null hypothesis (that the predictor variable has no effect on the outcome variable) and in favor of the alternative hypothesis (that the predictor variable has a significant effect on the outcome variable). However, in multiple regression analysis, the significance of a predictor variable may change depending on the other predictor variables included in the model. Thus, the best interpretation of the t ratio and P-value for the variable RunPulse is that it is statistically significant when all the other predictor variables are included in the regression equation. Therefore, D is the correct choice.

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