TEST I: PROBLEM SOLVING (30 Marks)

Direction: Read, Analyze, and calculate what are required.

1- A biologist is comparing the intervals (m seconds) between the mating calls of a certain species of tree frog and the surroundings temperature (t C). the following results were obtained. (15 Marks)

t C	8	10	14	15	17	20	25	32
m secs	6.5	4	3	5	6	8	6	2

a- Find the equation of the regression line of m on t giving your answer in the form

m= a + bt (12 Marks)

b- Use your regression line to estimate the time interval between mating calls when the surrounding temperature is 11 C. (3 Marks)

2- A job has four men available for work on four separate jobs. Only one man can work on any one job. The cost of assigning each man to each job is given in the following table. The objective is to assign men to jobs such that the total cost of assignment is the least. Compute for the optimum assignment cost using the assignment method. (15 marks)

	PROJECT
EMPLOYEE	1	2	3	4
Khalid	80	80	65	92
Ali	70	36	49	80
Yusuf	15	65	10	82
Mohammed	18	20	92	28