Suppose we are given following information with n=7, multiple regressi | Statistics II 2075

Statistics II20755 marksNumerical: R-squared and F testTest of significance of regression

Suppose we are given following information with n=7, multiple regression model is $\hat{A} = 8.15 + 0.6 X_1 + 0.54 X_2$ . Here, Total sum of square = 1493, and Sum of square due to error = 91. Find i) $R^2$ and interpret it. ii) Test the overall significance of model [5]

Suppose we are given following information with n=7, multiple regression model is $\hat{A} = 8.15 + 0.6 X_1 + 0.54 X_2$. Here, Total sum of square = 1493, and Sum of square due to error = 91. Find i) $R^2$ and interpret it. ii) Test the overall significance of model [5]

Sample size: $n = 7$ - Model: $\hat{A} = 8.15 + 0.6X1 + 0.54X2$ - Number of independent variables: $k = 2$ - Total Sum of Squares: $SST = 1493$ - Sum of Squares due to Error: $SSE = 91$ --- Sum of Squares due to Regression: $SSR = SST - SSE = 1493 - 91 = 1402$ $$R^2 = \frac{SSR}{SST} = \frac{...

Sample size: $n = 7$ - Model: $\hat{A} = 8.15 + 0.6X1 + 0.54X2$ - Number of independent variables: $k = 2$ - Total Sum of Squares: $SST = 1493$ - Sum of Squares due to Error: $SSE = 91$ --- Sum of Squares due to Regression: $$SSR = SST - SSE = 1493 - 91 = 1402$$ $$R^2 = \frac{SSR}{SST} = \frac{...

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Suppose we are given following information with n=7, multiple regression model is hatA = 8.15 + 0.6 X1 + 0.54 X2. Here, Total sum of square = 1493, and Sum of square due to error = 91. Find i) R2 and interpret it. ii) Test the overall significance of model