1. the following data are based

Question 5 (5 points) The following data yield Ex=285, Zy=1278, Exy=61454, Ex-=13701, and Sy2=276060. Find the equation of the regression line. Round the final values to three decimal places. x 44 55 49 41 53 43 y 200 258 224 180 222 194 Oy = 4. 581 - 4. 599x Oy = -4. 599 - 4. 581x Oy = -4. 599 + 4. 581x Oy = 4. 581 + 4. 599xQuestion 1 [5 points} The following data are based on information from Domestic Affairs. Let x be the average number of emplovees in a group health Insurance plan, and let v be the average administrative cost as a percentage of claims. 3: 3 T 15 35 II'E 'il' 40 35 ED 25 13 Use a calculator to verify that Ex = 135,3.- = 143.39- = sumzxz = T133.end Ev; = 45?: . a} Find the correlation coefficient, r. b} As 3: increases, does the value of r implv that v should tend to increase or decrease? [:]*r S? Question 4 [5 points] The number of assists and total number of points for a sample of six NHL scoring leaders are shown. AssisE, at Total points, 1r 109 The data pairs in the table above yield a correlation coefficient of T : D. 5. At 05 : U. 05, regression analysis ____________ he done. 0 should 0 should not Question 2 (5 points) The table includes randomly selected data pairs for variables x and y. X 208 32 100 185 144 103 32 80 141 112 Find Ex; Ey; Exy; Ex2 ; and Ey2. NOTE: When typing answers, separate values with a semi-colon followed by a space, for example 15; 20; 22; etc. Paragraph v BIUA Ev v +\fQuestion 10 [5 points] A sample of 15? university students who recentlyr moved riff-campus were polled to see whether they agree that offcampus living is preferable to oncarnpus living. In addition, each was asked how many people live in their current off-campus residence. The results are summarized in the following comingency table. 1 2 3 Agree 39 21 29 Nophim 15 5 T Disagree 256 4 Given the test T.'alue= yg=3.324, perform a test for independence. Use the a = lIZIJ'JFI level of significance. What do you conclude? Use Table G [chisquare distribution}. 0 Reject Ho' There is enough evidence to conclude that the survey responses and the number of roommates are dependent. 0 Do not reject H0. There is not enough evidence to conclude that the survey responses and the number of roommates are dependent. Question 9 (5 points) A contingency table has 4 rows and 4 columns. Find the critical value. Use a = 0. 025. O 28.845 O 23.337 27.488 O 19.023\fQuestion 3 [5 points] Five pairs of data 1vielded a correlation coefficient of r=G.843. a} Find the critical value in table | [Critical lvialues for the PPMC} using o:=.{}5. b} Complete the following statement with the phrase is or is not. Based on the critical value in part {a}, there __ a significant correlation between the data pairs. :ir l:]'~r Question 15 [5 points] According to the Bureau ofTransoortation statistics, on-time performance by the airlines is described as follows: Action 96 of time On time 10.13% National Aviation System delay 3.2 Aircraft arriving late 9.0 Other [because of weather and 12.0 oth er conditions) Records of 200 flights for a major airline company showed that 14s planes were on time; 30 were delayed because of weather, 5 because of a National Ayiation System delay, and the rest because of arriying late. Use (it : U. '05. Find the critical yalue. Use Table (3 [Chi-square distribution}. _'~v