Multiple Regressions #1 You are given the following estimated regression equation involving a dependent and two independent variables: y = 12.67 + 4.14x1 + 8.72x2. a. Interpret the values of the slope coefficients in the equation. b. Estimate the value of the dependent variable when x1 = 4 and x2 = 9.
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The slope coefficients in the equation are = 12.67 + 4.14x1 + 8.72X2. Show more…
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The estimated regression equation for a model involving two independent variables and 10 observations is as follows: 31.7986 + 0.6369x1 + 0.3374x2. Interpretation of b1: When x1 increases by one unit, the dependent variable (y) changes by 0.6369 units, while keeping x2 constant. Interpretation of b2: When x2 increases by one unit, the dependent variable (y) changes by 0.3374 units, while keeping x1 constant. b. To estimate y when x1 = 180 and x2 = 310, we substitute these values into the regression equation and solve for y (to 3 decimals).
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