In a study of 30 customers' utility bills in which the monthly bill was the dependent variable and the number of square feet in the house is the independent variable,the resulting regression model is = 23.40 + 0.4x.Given this,the sample correlation coefficient is known to be positive.

Question

In a study of 30 customers' utility bills in which the monthly bill was the dependent variable and the number of square feet in the house is the independent variable,the resulting regression model is  = 23.40 + 0.4x.Given this,the sample correlation coefficient is known to be positive.

Quizplus · Accepted Answer

The question states that "the sample correlation coefficient is known to be positive," which implies that there is a positive linear relationship between the monthly bill and the number of square feet. Since the regression model equation has a positive slope coefficient (0.4x), it also confirms that there is a positive association between the two variables.

In a Study of 30 Customers' Utility Bills in Which