A multiple regression model of the following form is filled

A multiple regression model of the following form is filled to a data set. The model is fitted using the software R and the following summary output is obtained Residual standard error. 1.892 on 95 degrees of freedom multiple R-squared: 0.1948

Solution

1) Value of t-statistics for B1 = Coeff. / SE

= 5.3036 / 2.5316

= 2.0949

2) Total degrees of freedom = n - 1 = 4 + 95 = 99

Hence, no. of observations in the data set = 100

3) p- value for x3 = 0.000276

Hence the Ho : B3 = 0 can be rejected at 5% level of significance

4) Estimate for intercept = SE * t- value

= 0.1960 * 8.438

= 1.6538

Hope this helps.