Algebra 2 Companion Book, Volume 1

2.2.2 Curve Fitting With Linear Models − Practice (continued)

3. The data in the table show the number of boys b and girls g in several different classes. Find the correlation coefficient and the equation of the line of best fit for the data. Treat the number of girls in the class as the independent variable.

Class I II III IV V VI VII VIII IX Girls 5 1416 8 1021253029 Boys 1510101920232512 6

4.  The data in the table show the number of classes offered at two different schools. Find the correlation coefficient and the equation of the line of best fit for the data. Treat the number of classes in School A as the independent variable.

Class II III IV V VI VII VIII IX School A 25 24 30 27 35 35 46 50 42 School B 20 20 20 29 34 39 29 34 50 I

5. The equation of a line of best fit relating the money earned e at a bake sale to the number of customers c is e = 1.1 c + 19. Use the equation to predict the earnings from a bake sale with 80 customers.

6. The equation of a line of best fit relating the number of cats c at an animal shelter to the number of dogs d is c = 1.9 d − 8. Predict the number of cats at a shelter where there are 40 dogs.

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