Question

Camp Rainbow offers overnight summer camp programs for children ages 10-14 every summer during June and July. Each camp session is one week and can accommodate up to 200 children. The camp is not coed, so boys attend during the odd-numbered weeks and girls attend during the even-numbered weeks. While at the camp, participants make crafts, participate in various sports, help care for the camp's resident animals, have cookouts and hayrides, and help assemble toys for local underprivileged children The camp provides all food as well as materials for all craft classes and the toys to be assembled. One cabin can accommodate up to 10 children, and one camp counselor is assigned to each cabin. Three camp managers are on-site regardless of the number of campers enrolled. Following is the cost information for Camp Rainbow's operations last summer: Number of Cost to Run Week Campers 94 140 108 120 118 100 90 124 $8,630 11,740 8,830 9,400 9,010 8,680 9,590 Required 1. Perform a least-squares regression analysis on Camp Rainbow's data. (Use Microsoft Excel or a statistical package to find the coefficients using least-squares regression. Round your answers to 2 decimal places.) Coefficients Intercept X Variable 1

Answer 1

Following is the output of regression analysis:

1;

Intercept: 3333.56

X variable 1: 53.49

2:

The regression line is

y' = 3333.56 + 53.49x

3:

The expected cost is

y' = 3333.56 + 53.49*110 = 9217.46