Following is a simple linear regression model:

The following results were obtained from some statistical software.

R² = 0.523

s_yx (regression standard error) = 3.028

n (total observations) = 41

Significance level = 0.05 = 5%

Variable

Parameter Estimate

Std. Err. of Parameter Est.

Interecpt

0.519

0.132

Slope of X

-0.707

0.239

Note: For all the calculated numbers, keep three decimals.

1.Write the fitted model (5 points).

2.Make a prediction using the fitted model for y when x = 1.888 (5 points)

3.

The intercept of the least-squares regression line is (5 points):