Question

Questions Exercise 15.01 Algorithmic eBook The estimated regression equation for a model involving two independent variables and 10 observations follows = 30.4517 + 0.61357 + 0.703722 a. Interpret by and be in this estimated regression equation. y changes by 0.6435 when xl increases by 1 unit and x2 stays the same 7 by o y changes by 0.7037 when x2 increases by 1 unit and xl stays the same y b. Estimate y when - 180 and 9 - 310 (to 3 decimals). Hide Feedback Partially Correct Olon Ky Exercise 15.01 Algorithmic

Answer 1

a)

b1=0.6435

y changes by 0.6435 when x1 increases by 1 unit and x2 stays the same.

b2=0.7037

y changes by 0.7037 when x2 increases by 1 unit and x1 stays the same.

b)Given the regression line

$\hat{y}=30.4517+0.6435*x1+0.7037*x2$

and

x1=180

x2=310

So,

$\hat{y}=30.4517+0.6435*180+0.7037*310$

$\hat{y}=30.4517+115.83+218.147$

$\hat{y}=364.4287\approx 364.429$

Therefore estimate of y is 364.429