Listed below are the Fat content (in grams) and Calories for several burgers at Biggies' Burgers Fast Food Restaurant.

Fat (g)

20

23

31

33

37

38

40

43

Calories

410

490

570

590

580

630

670

680

1. Make a scatterplot of these data in your calculator using Fat as the explanatory (X) variable and Calories as the response (Y) variable. Describe each of the following in one word:
2. Direction: _______________ Form: _______________ Strength: _______________
3. Find the correlation between Fat and Calories.
4. Find the equation of the regression line to predict Calories from Fat.
5. Use your equation to predict the number of calories for a burger with 25 grams of fat.
6. The ages (in years) and salaries (in thousands of dollars) of a random sample of engineers at a company were recorded. The data will be used to predict an engineer's salary from his/her age. A scatterplot of the data appeared linear in form and the least squares regression line calculated from the data is y 1.328x 21.5 .
7. In terms of age and salary interpret the value of the slope of this line. (be sure to use units in your answer)
8. Predict the salary for an engineer that is 30 years old.