(W) means written answer required

(P) means SAS code required

C.ANOVA table in MLR.

Data from 23 countries was used to investigate the relationship between respiratory cancer mortality rates (Y) for a given year and the following three predictor variables for each country: X₁ = Air pollution index, X₂ = Mean age (over 21), and X₃ = Percentage of workforce in the country employed in a certain industry.

1. (5: W, P) The sums of squares from a multiple linear regression of Y on X₁, X₂, and X₃ were:

SSY = 2387.653 SSE = 551.723

Calculate the ANOVA table for this regression, using SAS to produce the F-statistic p-value.

1. (3: W) Determine the value of R² for this regression. Based on this value, comment on the relationship between country-specific respiratory cancer mortality rates and the country-level set of variables: pollution level, mean age, and percentage of people working in the particular industry.
2. (2: W) Based on the ANOVA table, write out and evaluate the 2-sided hypothesis test with the null hypothesis that all three regression slopes (corresponding to X₁, X₂, and X₃) are equal to zero.