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

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

(3) What fraction of the total variation can be explained by the linear regression model? Select one: 46.34% 29.25% 30.839 31

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)

R2adj= 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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