Answer:
We can predict the sales representative travelled 8 miles replacing x =8 and we got:
![y(8) = 3.529*8 + 37.91= 66.142](https://tex.z-dn.net/?f=%20y%288%29%20%3D%203.529%2A8%20%2B%2037.91%3D%2066.142)
And we can predict the sales representative travelled 11 miles replacing x =11 and we got:
![y(11) = 3.529*11 + 37.91= 76.729](https://tex.z-dn.net/?f=%20y%2811%29%20%3D%203.529%2A11%20%2B%2037.91%3D%2076.729)
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:
![y(8) = 3.529*8 + 37.91= 66.142](https://tex.z-dn.net/?f=%20y%288%29%20%3D%203.529%2A8%20%2B%2037.91%3D%2066.142)
And we can predict the sales representative travelled 11 miles replacing x =11 and we got:
![y(11) = 3.529*11 + 37.91= 76.729](https://tex.z-dn.net/?f=%20y%2811%29%20%3D%203.529%2A11%20%2B%2037.91%3D%2076.729)