Question

Required information 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! Week 1 2 Number of Campers 116 138 154 Cost to Run Camp $9,330 11,300 12,200 8,000 8,530 10,390 9,830 8,950

Answer 1

Solution:

Week	Number of Campers (X)	Cost to Run Camp (Y)	X2	XY
1	116	9,330	13456	1082280
2	138	11,300	19044	1559400
3	154	12,200	23716	1878800
4	98	8,000	9604	784000
5	102	8,530	10404	870060
6	134	10,390	17956	1392260
7	122	9,830	14884	1199260
8	108	8,950	11664	966600
Total ∑	972	78530	120728	9732660

Y = a + b X

b = ( N ∑(XY) - ∑X ∑Y ) / ( N ∑ (X²) – ( ∑X )² )

N = Number of data values = 8

b = ( 5*9732660 – 972*78530) / ( 5* 120728 – 972² )

   = -81.10

a = ( ∑Y – b ∑X ) / N

= ( 78530 – (-81.10)*972 ) / 8

= 19669.90

                                                                                                Co-efficients

Intercept	19669.90
X Variable 1	-81.10

Total cost = 19669.90 – 81.10*X

If 122 Children attend the session,

Then the expected operating cost = 19669.90 – 81.10*122

                                                                = 9775.70