GPA, G 3.8 3.5 2.3 3 2.8 Hours of TV, H 1.1 1.1 1.7 1.3 1.4 Problem #1 - The table shows the results of an experiment to determine if there is a relationship between the numbers of hours of television watched per day, H, and the GPA, G, of students. a) Find a linear model that represents the data b) What is the linear correlation coefficient? Are they any correlation between the variables? c) Use your model to predict the GPA of a student who watches 2.5 hours of reality shows per day. ** The only thing that I know about this problem is that I’m supposed to scatter plot it on by TI-89, but I don’t know how to do that either. Problem # 2 – In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again. The data is recorded as follows: [Time in hours 0 1 2 3 4 5 6 Population in 1000s] 7.62 6.16 5.5 5.64 6.5 8.32 10.86 a) Find a quadratic model that represents the data b) What is the R2 value? Is the model a good fit? c) Use your model to estimate the number of bacteria in 8 hours d) Use your model to estimate the minimum number of bacteria and approximate at what hour the minimum occurred Problem #3 – P= -2x^2 + 8x –3 where x is the number of units produced in thousands and Profit, P, in hundreds of dollars a) How many units must be produced to obtain a profit of $500? b) How many units must be produced to obtain a maximum profit? c) What is the Maximum profit? Problem #4 – Consider the function f(x)= (4x-4)/(x^2-2x-24) a) Find the domain of the function. b) Find the asymptotes of the function, if it has any. c) Find the intercepts of the function, if it has any. Problem # 5 – A state game commission is introducing 100 wolves into a remote area which has previously been uninhabited by wolves. The population of the pack is given by P=[20(5+2t)]/(1+0.06t) where t is the time in years since the introduction. What is the limiting size of the population as time increases?