A hospital administrator is studying the relation between pa

A hospital administrator is studying the relation between patient satisfaction (y, an index) and patients age (Xi, in years), severity of illness (JG, an index), and anxiety level (X3, an index). Data are reported for 46 randomly selected patients. For all index variables, higher values indicate more (satisfaction, severity, anxiety). The R output is given below for the multiple linear regression model. Looking at the first output, is the variable Illness significant? Can the variable Illness be dropped from the regression model looking at the ANOVA table? What do you conclude from the two answers? Explain why the variable has the same p-value in both output. Interpret the results of the individual t-tests for each of the three predictors. Then, explain why these results do not contradict the result of the analysis of variance F test. Finally, interpret the results of the overall F-test. What is partial R2 of X2 given X? Comparing the first model - regressing Y on patients age, severity of illness, and anxiety level - with the following one - regressing Y on patients age and anxiety level, which is best model? Motivate your answer

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