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 (tC). the following results were obtained. (15 Marks) 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) \begin{tabular}{|l|l|l|ll|} \hline & \multicolumn{4}{|c|}{ PROJECT } \\ \hline EMPLOYEE & 1 & 2 & 3 & 4 \\ \hline Khalid & 80 & 80 & 65 & 92 \\ \hline Ali & 70 & 36 & 49 & 80 \\ \hline Yusuf & 15 & 65 & 10 & 82 \\ \hline Mohammed & 18 & 20 & 92 & 28 \\ \hline \end{tabular} Rubrict formuarhine 2 marks = mbstact the wartman value fraweach cofaret 2 Marka = uabtract the minimanvahe than eoeh colarn 2 mark = Make the asigmene comespondingto that zero cell. 2 mark= = eliminate that now and colarvy from the table. 5 mark = find the marsmam value of unarosed valua. 4 Mark = determine the conts aseeiated with the optimal assigenent 7 A A - \&