Question

1. Why is there a t-test performed in association with the b₁ coefficient? What does the result of the t-test tell us?

2. b₀ is the value of Y when what?

3. Does a flatter regression line mean a stronger or weaker relationship between the predictor and outcome variables? Please explain.

Answer 1

1.

We performed the t test in association with the b₁ coefficient because the standard deviation of the true slope coefficient is unknown. The result of the t-test tell about the significance of the slope coefficient in the model.

2.

b₀ is the value of Y when all the independent variables of the model are 0.

3.

The flatter regression line tells that the rate of change in outcome variable is very low with the increase in the predictor variable. In other words, the slope coefficient value of the regression line is low and thus, there is a weaker relationship between the predictor and outcome variables.