A public health researcher is interested in examining the economic effects of smoking. Specifically, she has data on two variables measured at the state level: the percentage of residents who smoke (PSMOKE) and annual average wages per capita (ANWAGES). Her hypothesis is that as the percentage of residents who smoke increases, average annual wages decrease. After running a regression (where PSMOKE is the independent variable), she gets the following Excel results attached in the PDF file below. Please help her by.

(1) Specifying the regression equation,

(2) Interpreting the intercept and slope of the equation,

(3) Explaining the coefficient of determination (R2), and

(4) Testing the statistical significance of the slope of PSMOKE. Based on these information, is their support for the researcher?s hypothesis?

SUMMARY OUTPUT:

ANOVA

Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.3736 0.1396 0.1217 5824.9199 50 Regression Residual Total Intercept PSMOKE df SS MS 1 264233586.4 264233586.41 48 1628625194 33929691.54 49 1892858780 Coefficients Standard Error 55536.010004 -713.655584 4824.391094 255.731729 t Stat 11.512 -2.791 F 7.79 P-value 0.000 0.008 Significance F 0.008