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: Cost to Number of Run Week Campers Camp 116 $9,330 138 11,300 154 12,200 98 8,000 5 102 8,530 134 10,390 122 9,830 8 108 8,950 00 VOUAWNE 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 2. Using the regression output, create a cost equation (y = a + bx) for estimating Camp Rainbow's operating costs. Total Cost Number of Campers 3. Using the least-squares regression results, calculate the camp's expected operating cost if 100 children attend a session. (Round your intermediate calculations and final answer to 2 decimal places.) Total Cost

Answer 1

Regression Statistics Multiple R 0.991357965 R Square 0.982790616 Adjusted R Square 0.979922385 Standard Error 201.4810341 Observations ANOVA of Regression Residual SS MSF 91 1 13909620 13909620 342.647 6 243567.6 40594.61 7 14153188 Total Intercept X Variable 1 Coefficientsandard Er Stat P-value Lc 980.243346 482.6311 2.031041 0.088536 72.7243346 3.928767 18.51073 1.6E-06 Answers Intercept X Variable 980.24 Regression Equation , Cost = Total cost = 980.21+(72.72*Number of Clamps ) operating Cost for 100 Childrens 980.24+(72.72*100) 8252.24