Results of the three goodness of test measures are given in

Results of the three goodness of test measures are given in the table below: Table 3: Goodness of Fit Tests Use this table to comment on the goodness (quality) of the regression model.

Solution

From the Goodness of Fit test results, we get value of R square is equal to 0.89 which is close to 1. Therefore overall the goodness (quality) of the regression model is good.

The multiple regression model for the data is

Y = 0.35 + (0.25) Technology use + (0.13) R&D + (0.46) Motivation

Independent variables are:

p-value for the F statistic is 0.00013 which is very small (0.00013 < 0.05)

Therefore, we reject the null hypothesis that none of the independent variables are significant. i.e., at least one of the independent variables is significant (at 5% significance level).

Now we will carry on to test each independent variable separately.

A small p-value in Parameter estimates table means that the independent variable is significant.

We can see that p-value for \'Technology use\' and \'Motivation\' is 0.025 and 0.009 respectively. Both of these values are less than 0.05. Therefore these two independent variables are significant where as R&D is not.