Question

janelle tracks the number of miles she drives and the number of gallons of gas she has left. what is the linear regression model for this scenario? y = -0.035x + 13.989. what is the correlation coefficient? what is the strength of the model? -0.996 -0.035 0.035 0.996

Explanation:

Step1: Recall correlation - coefficient concept

The correlation coefficient \(r\) measures the strength and direction of a linear relationship. The value of \(r\) ranges from - 1 to 1. The closer \(|r|\) is to 1, the stronger the linear relationship.

Step2: Identify the correlation - coefficient

Given the linear regression model \(y=-0.035x + 13.989\), the correlation coefficient \(r=-0.996\). Since \(| - 0.996|\approx1\), the strength of the model is very strong.

Answer:

The correlation coefficient is - 0.996 and the strength of the model is very strong.