Suppose we carry out a linear regression analysis with the following model: Y = Bo + B1X1 + .. + BRX; + e where k = 8. n = 195. We find SSreg = 231.4, and SS7otal = 972.5. Before collecting the data, we knew that we'd like to test the null hypothesis that Bi = B2 = B3 = 0. If we run a regression model leaving the predictors associated with these slopes out of the model, we find SSReg = 74.1 and SSrotal = 972.5. What is the value of the appropriate Fstatistic to test this null hypothesis (that these 3 slopes are 0)?

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Suppose we carry out a linear regression analysis with the following model:
Y = Bo + B1X1 + .. + BrXr + €
where k = 8. n = 195.
We find SSReg = 231.4, and SSTotal = 972.5.
Before collecting the data, we knew that we'd like to test the null hypothesis that
Bi = B2 = 63 = 0. If we run a regression model leaving the predictors associated
with these slopes out of the model, we find
SSReg = 74.1 and SSTotal = 972.5.
What is the value of the appropriate Fstatistic to test this null hypothesis (that these
3 slopes are 0)?
Transcribed Image Text:Suppose we carry out a linear regression analysis with the following model: Y = Bo + B1X1 + .. + BrXr + € where k = 8. n = 195. We find SSReg = 231.4, and SSTotal = 972.5. Before collecting the data, we knew that we'd like to test the null hypothesis that Bi = B2 = 63 = 0. If we run a regression model leaving the predictors associated with these slopes out of the model, we find SSReg = 74.1 and SSTotal = 972.5. What is the value of the appropriate Fstatistic to test this null hypothesis (that these 3 slopes are 0)?
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