1. If A-1 = ·(63) 4 and B-1 = (132) find (AB)-1, (AT)-1 and (2A)-1 -2 0 2. A wildlife management team studied the reproduction rates of deer in three tracts of a wildlife preserve. The team recorded the number of females( x) in each tract and the percent of females (y) in each tract that had offspring the following year. The table shows the results. Number (x) 75 900 120 Percent (y) 25 43 51 Find the least squares regression line for the data. 3. An industrial system with three industries has the input-output matrix D and external demand matrix E below. 0.2 0.3 0.1 1000 D = 0.2 0.4 0.3 E = 2000 0.0 0.1 0.0 3000 Find the output X for this industrial system? Note: Feel free to use calculator.

How many ways can 4 men and 4 women stand in line if all the women are first?

A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?

-13 -12 -11 -10 -9 -8 -4 -3 -2 - 10 %24

Find A. -6 4 (4A)-1 -2 1 A =

A survey was conducted on how many texts (in average) students receive during an in-person class time. A survey data in a class in a particular day is given in the table. Number students Number of texts 1 20 2 14 12 4 5 If the average number texts that students received during this class time is 3, then determine the number of students (the value of x) that received 5 texts during the class time on that particular day.

Y; = Bo + B1 X; + ɛ; (1.1)

.2 y = 4 - x² and x +y = 2.

im 2. 2.

4. Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. R INPUT: accepted |t]) (Intercept) accepted 88.88272 182.36584 0.487 0.6515 0.20801 0.07002 2.971 0.0411 * Signif. codes: ***' 0.001 **' 0.01 '*' 0.05 '.' 0.1 ' 1 Residual standard error: 26.35 on 4 degrees of freedom 0.6881, Adjusted R-squared: 0.6101 Multiple R-squared: F-statistic: 8.824 on 1 and 4 DF, p-value: 0.04112 (a) Write an equation for the regression line. (b) What is the slope of the least-squares regression line? Interpret this in the context of the application. (c) Interpret the intercept of the line in context. Does the interpretation make sense?