Question

The estimated regression equation for a model involving two independent variables and 10 observations follows. ? = 31.7986 + 0.6369x? + 0.3374x? a. Interpret b? and b? in this estimated regression equation (to 4 decimals). b? = y changes by 0.6369 when x1 increases by 1 unit and x2 stays the same b? = y changes by 0.3374 when x2 increases by 1 unit and x1 stays the same b. Estimate y when x? = 180 and x? = 310 (to 3 decimals).

          The estimated regression equation for a model involving two independent variables and 10 observations follows.
? = 31.7986 + 0.6369x? + 0.3374x?
a. Interpret b? and b? in this estimated regression equation (to 4 decimals).
b? = 
y changes by 0.6369 when x1 increases by 1 unit and x2 stays the same
b? = 
y changes by 0.3374 when x2 increases by 1 unit and x1 stays the same
b. Estimate y when x? = 180 and x? = 310 (to 3 decimals).

The estimated regression equation for a model involving two independent variables and 10 observations follows.
? = 31.7986 + 0.6369x? + 0.3374x?
a. Interpret b? and b? in this estimated regression equation (to 4 decimals).
b? =
y changes by 0.6369 when x1 increases by 1 unit and x2 stays the same
b? =
y changes by 0.3374 when x2 increases by 1 unit and x1 stays the same
b. Estimate y when x? = 180 and x? = 310 (to 3 decimals).

Added by Wendy O.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

08/15/2023

Step 1

7986 + 0.636921X_1 + 0.337412X_2 $$ Here, $b_1 = 0.636921$ and $b_2 = 0.337412$. $b_1$ represents the change in the dependent variable $Y$ when $X_1$ increases by 1 unit, and $X_2$ stays the same. Similarly, $b_2$ represents the change in the dependent variable 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).