Astatistics professor investigated some of the factors that affect an individual student's final grade in her course. she proposed the multiple regression mpde, + β +d2x2 + β3χ3 +1 where y is the final grade (out of 100 points), xi is the number of lectures skipped, x2 is the number of late assignments, and x3 is the midterm exam score (out of 100) the professor recorded the data for 50 randomly selected students. the computer output is shown below predictor constant oe 41.6 -3.18 1.17 0.63 17.8 1.66 1.13 0.13 2.337 1.916 1.035 4.846 r2 x3 1. write down the regression equation 2. does this data provide enough evidence to conclude at the 5% significance level that the final grade and the number of skipped lectures are linearly related? 3. does this data provide enough evidence at the 5% significance level to conclude that the final grade and the number of late assignments are negatively linearly related? solution 1. the regression equation is y 41.6 3.18x 1.17x 63x 2. ans: rejection region: t > to·025,46-2.0 14 or k-t0.025,46--2014 test statistic: t =-1.91 6 conclusion: don't reject the null hypothesis. no, there is not enough evidence to conclude at the 5% significance level that the final grade and the number of skipped lectures are linearly related 3. ans: rejection region: バブ0.05,46 ~-1 .679 test statistic: 1.035

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Question 1 (3 points) saved what is the solution for the following system of equations? use any method to solve. y = -x +4 y = x - 2 question 1 options: ( 4 , -2) (2, 1) (3, 1) (3, -2) question 2 (3 points) saved the solution to a system of equations is where the lines intersect. question 2 options: true false question 3 (3 points) which ordered pair is the best estimate for the solution of the system of equations? the graph of the system of equations : y = 3/2x +6 and y=1/4x - 2 question 3 options: (-6, -3) (-6.5, -3.5) (-7, -4) (-7, -3.5) question 4 (3 points) what is the solution for the following system of equations? use any method to solve. 2x + 8y = 4 x = -3y + 5 question 4 options: x = 14, y= -3 x = 2, y = -3 x = -3, y = -3 x = 12, y = 5 question 5 (3 points) solve the following system using any method. 8a - 4b = 20 5a - 8b = 62 question 5 options: a = 5, b = -4 a = 8, b = 4 a = -5, b = -8 a = -2, b = -9 question 6 (3 points) breana is selling tickets to a choral performance. on the first day of ticket sales, she sold 3 senior citizen tickets and 1 child ticket for a total of $38. breana took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. what is the price of a senior citizen ticket? question 6 options: question 7 (3 points) a farmer has 5 times as many cows as pigs. the farmer only has cows and pigs, and he has 168 animals. how many cows does he have? question 7 options: 140 cows 120 cows 50 cows 28 cows question 8 (3 points) how many solutions does the system have? question 8 options: zero one infinitely many question 9 (3 points) what is the solution to the system of equations? graph of x+2y = 6 and y = x question 9 options: (1 , -2) (2, 2) (3, 5) (-2, 2)