The results below show data and analysis on the topic of "patient satisfaction".A hospital administrator wished to study the relation between patient satisfaction (Y) and patients' age (X1, in years) , severity of illness (X2), and anxiety level (X3).

The output includes a listing of all 46 observations; descriptive statistics for each variable; and, the results of a regression analysis that uses patient satisfaction as the dependent variable, and patient's age, severity of illness, and anxiety level as independent variables.

Question: Use the R-square and F-test to evaluate the overall reliability of the regression.

SUMMARY OUTPUT

Regression Statistics

Multiple R 0.825950563

R Square 0.682194333

Adjusted R Square 0.659493929

Standard Error 10.05797561

Observations 46

ANOVA

df SS MS F Significance F

Regression 3 9120.463666 3040.1546 30.05207794 1.54197E-10

Residual 42 4248.840682 101.16287

Total 45 13369.30435

Betas Standard Error t Stat P-value Lower 95% Upper 95%

Intercept 158.4912517 18.12588874 8.7439162 5.26095E-11 121.9117272 195.0707761

Patient Age -1.141611847 0.214798809 -5.314796 0.0000038102515 -1.575093393 -0.7081303

Severity of illness -0.442004262 0.491965748 -0.898445 0.374070225 -1.434831336 0.550822812

Anxiety Level -13.47016319 7.099660814 -1.897297 0.0646781269 -27.79785878 0.857532395