Question

The estimated regression equation for a model involving two independent variables and 10 observations follows. y^ = 27.7974 + 0.2589x1 + 0.4755x2 a. Interpret b1 and b2 in this estimated regression equation (to 4 decimals). b1 = y changes by 0.2589 when x1 increases by 1 unit and x2 stays the same b2 = y changes by 0.4755 when x2 increases by 1 unit and x1 stays the same b. Estimate y when x1 = 180 and x2 = 310 (to 3 decimals).

          The estimated regression equation for a model involving two independent variables and 10 observations follows.
y^ = 27.7974 + 0.2589x1 + 0.4755x2
a. Interpret b1 and b2 in this estimated regression equation (to 4 decimals).
b1 =
y changes by 0.2589 when x1 increases by 1 unit and x2 stays the same
b2 =
y changes by 0.4755 when x2 increases by 1 unit and x1 stays the same
b. Estimate y when x1 = 180 and x2 = 310 (to 3 decimals).

The estimated regression equation for a model involving two independent variables and 10 observations follows.
y^ = 27.7974 + 0.2589x1 + 0.4755x2
a. Interpret b1 and b2 in this estimated regression equation (to 4 decimals).
b1 =
y changes by 0.2589 when x1 increases by 1 unit and x2 stays the same
b2 =
y changes by 0.4755 when x2 increases by 1 unit and x1 stays the same
b. Estimate y when x1 = 180 and x2 = 310 (to 3 decimals).

Added by Tammy E.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

08/31/2023

Step 1

7974 + 0.258931x_1 + 0.475512x_2$$ Now, we can interpret the coefficients $b_1$ and $b_2$: $b_1 = 0.258931$ means that when $x_1$ increases by 1 unit and $x_2$ stays the same, $y$ increases by 0.2589 units. $b_2 = 0.475512$ means that when $x_2$ increases by 1 Show more…

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The estimated regression equation for a model involving two independent variables and 10 observations follows. y = 27.7974 + 0.2589x1 + 0.4755x2 a. Interpret b1 and b2 in this estimated regression equation (to 4 decimals). y changes by 0.2589 when x1 increases by 1 unit and x2 stays the same y changes by 0.4755 when x2 increases by 1 unit and x1 stays the same b. Estimate y when x1 = 180 and x2 = 310 (to 3 decimals).