Question

Consider the following regression results based on 40 observations.

Coefficients Standard Error t Stat p-value
Intercept 37.7159 12.6877 2.973 0.005
x1 0.9349 0.9506 0.983 0.332

Calculate the value of the test statistic.

Answer 1

The test statistic value for the intercept is 2.973 and for x1 is 0.983.

Step-by-step explanation:

The test statistic can be calculated using the t distribution formula. In this case, the test statistic value is given as 2.973 for the intercept and 0.983 for x1. The p-values associated with these test statistics are 0.005 and 0.332 respectively.

Therefore, the value of the test statistic for the regression results is 2.973 for the intercept and 0.983 for x1.

Answer 2

The calculated value of the test statistic is 0.983

How to calculate the value of the test statistic.

From the question, we have the following parameters that can be used in our computation:

The table that represents the summary of the results based on 40 observations

By definition, the t-statistic is calculated by dividing the estimated coefficient of x1 by its standard error.

Reading from the table, we have that the t-statistic is 0.983.