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? - 0.996. what is the strength of the model? strong negative weak negative weak positive strong positive

Explanation:

Step1: Understand correlation coefficient range

The correlation coefficient $r$ ranges from - 1 to 1. If $|r|\approx1$, it indicates a strong correlation. If $|r|\approx0$, it indicates a weak correlation. Here $r = - 0.996$, and since $| - 0.996|$ is very close to 1, it is a strong correlation. Also, since $r<0$, it is a negative correlation.

Step2: Identify correlation type

A correlation coefficient of $r=-0.996$ means there is a strong negative linear relationship between the number of miles driven and the number of gallons in the tank. As the number of miles driven increases, the number of gallons in the tank decreases significantly.

Answer:

strong negative