Fat content and calories of burgers at eight fast food restaurants are as follows.

X, Fat (grams)
11
66
81
41
54
40
37
79
Y, calories
250
960
1160
650
900
660
590
1180
To check that you have entered the data correctly on the calculator, press [STAT] [->] [2] to run 2-var stats and check that ху = 376770.
Use linear regression to find the linear equation which best fits these data. Round coefficients to four decimal places.
y=
Estimate the number of calories in a burger with 68 grams of fat using the equation. Round your answer to the nearest whole calorie.

calories

1 answer

The linear equation that best fits the data is:

y = 13.4328x + 175.7512

Estimating the number of calories in a burger with 68 grams of fat:

y = 13.4328(68) + 175.7512
y = 913.7736 + 175.7512
y = 1089.5248

Therefore, the estimated number of calories in a burger with 68 grams of fat is 1089 calories.