S. 1. A multiple linear regression model is fit, relating household weekly food expenditures (Y, in $100s) to weekly income (X₁, in $100s) and the number of people living in the household (X2). Assuming the model has an intercept, and is based on a sample of n=40 households. Give the appropriate degrees of freedom. dfTotal = dfRegression= dfError=
S. 1. A multiple linear regression model is fit, relating household weekly food expenditures (Y, in $100s) to weekly income (X₁, in $100s) and the number of people living in the household (X2). Assuming the model has an intercept, and is based on a sample of n=40 households. Give the appropriate degrees of freedom. dfTotal = dfRegression= dfError=
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![S.1. A multiple linear regression model is fit, relating household weekly food expenditures (Y, in $100s) to weekly
income (X₁, in $100s) and the number of people living in the household (X₂). Assuming the model has an intercept, and is
based on a sample of n=40 households. Give the appropriate degrees of freedom.
dfTotal
dfRegression =
dfError=
S.2. In a multiple linear regression model with 2 predictors (X₁ and X₂), if X₁ and X₂ are uncorrelated, SSR(X₁) =
SSR(X₁|X₂). TRUE or FALSE
S.3. In simple linear regression, the hat-matrix is 2x2. TRUE or FALSE
S.4. In a multiple linear regression model with 2 predictors (X₁ and X₂), SSR(X₁) + SSR(X₂|X₁) = SSR(X2) + SSR(X₁|X2).
TRUE or FALSE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9abfb68-8e72-4551-93ea-7c2837d5dcac%2F0650dfa3-45f7-4ff0-9248-3b5bb62ea332%2Fj4vxdia_processed.png&w=3840&q=75)
Transcribed Image Text:S.1. A multiple linear regression model is fit, relating household weekly food expenditures (Y, in $100s) to weekly
income (X₁, in $100s) and the number of people living in the household (X₂). Assuming the model has an intercept, and is
based on a sample of n=40 households. Give the appropriate degrees of freedom.
dfTotal
dfRegression =
dfError=
S.2. In a multiple linear regression model with 2 predictors (X₁ and X₂), if X₁ and X₂ are uncorrelated, SSR(X₁) =
SSR(X₁|X₂). TRUE or FALSE
S.3. In simple linear regression, the hat-matrix is 2x2. TRUE or FALSE
S.4. In a multiple linear regression model with 2 predictors (X₁ and X₂), SSR(X₁) + SSR(X₂|X₁) = SSR(X2) + SSR(X₁|X2).
TRUE or FALSE
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