A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. Find the equation of the regression line for the given data. Predict the value of sales when the sales representative travel 8 miles. Predict the value of sales when tthe sales representative traveled 11 miles.
Miles Traveled, x 2,3,10,7,8,15,3,1,11
Sales, y 31,33,78,62,65,61,48,55,120

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

Where:

So we can find the sums like this:

With these we can find the sums:

And the slope would be:

Nowe we can find the means for x and y like this:

And we can find the intercept using this:

So the line would be given by:

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

positive

step-by-step explanation:

the quadrant is facing upwards

10

step-by-step explanation: