What are the assumptions of a simple linear regression model? Consider the estim

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What are the assumptions of a simple linear regression model? Consider the estimated multiple regression equation: Y = 12.5 + 4.6X_1 - 3.5X_2 First, interpret the regression coefficient of X_2. Then estimate Y when X_1 = 10 and X_2 = 4. In a regression model involving 30 (i.e. n = 30) observations, the following estimated regression equation was obtained: Y = 17 + 4x_1 - 3x_2 + 8x_3 + 8x_4 For this multiple regression equation, SSR = 700 and SSE = 100 Let alpha = 0.05 State the null and the alternative hypotheses, find the critical value and the test statistic (computed F statistic) for testing the significance of the above model (or overall model).

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Solving question 1, Please repost other questions individually.

The key assumptions are-

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