## Question

###### Problem. Alex Rodriguez is interested in the relationship between the number of games won by a...

Problem. Alex Rodriguez is interested in the relationship between the number of games won by a major league baseball team in a season (1) and the team's batting average (x). He collected data and obtained the following ANOVA table for a simple linear regression model, y = 3, +3.x + Mean Square F Significance F Regression Residual df ? 15 ? Sum of Squares 248.0 600.0 348.0 Total (1) What is the sample size n? Select one: 15 16 17 18 None of the other four (2) Find the adjusted r value Select one: 0.2453 O 0.3071 0.3433 O 0.2108 None of the other four

(3) What fraction of the total variation can be explained by the linear regression model? Select one: 46.34% 29.25% 30.839 31.2296 None of the other four (4) Is there a significant relationship between the two variables? Find the p-value for the test. Select one: None of the other four O 0.01 0.05 0.10 0.95

## Answers

Source df SS MS F p value regression 1 248.000 248.000 6.20 0.0250 error 15 600.000 40.000 total 16 848.000 1)

sample size =16+1 =17

2)

R ^{2}_{adj}=1-(n-1)*SSE/(SST(n-k-1)) = 0.2453 3)

fraction explained =SSR/SST =248/848 =0.2925~ 29.25 %

4)

none of the other four

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