Using the unemployment data provided, investigate the association between the male unemployment rate in 2014 and 2017 for a sample of 52 countries Complete parts a through d below. Click the icon to view the data table. a) Find a regression model predicting the 2017 rate from the 2014 rate for the sample of 52 countries. 2017Rate - [+*2014Rate (Round to two decimal places as needed.) b) Examine the residuals to determine if a linear regression is appropriate Construct a plot of the residuals against the 2014 rate. Choose the correct graph below. OB C. D. 25 257 do Q Resid 0- Rasidia -25 -25 -25 25 20 40 50 60 2014 Rate 20 40 60 80 2014 Rate 20 40 60 206 20 40 80 80 2014 Rate 2014 Ral Construct a Normal probability plot of the residuals. Choose the correct graph below. Construct a Normal probability plot of the residuals Choose the correct graph below. . OC. OA OD. o Residuals Residents Residus Residuals 25 Normal Scores 25 Normal Scores 25 Normal Scores -25 25 Normal Scores Evaluate the piots to determine if a linear regression is appropriate. Choose the correct answer below. O A. The linear regression is appropriate. The plot of the residuals against the 2014 rate shows no patter, which satisfies the conditions for linear regression. The Normal probability plot indicates that the Normal Probability Assumption is violated, OB. The linear regression is not appropriate. The plot of the residuals against the 2014 rate tends to cluster as the rate increases, which is a possible violation of the Linearity Condition. The Normal probability plot indicates that the Normal Population Assumption is satisfied OC. The linear regression is not appropriate. The plot of the residuals against the 2014 rate shows no pattern, which is a possible violation of the Independence Assumption. The Normal probability plot indicates that the Normal Probability Assumption is violated. D. The linear regression is appropriate. The plot of the residuals against the 2014 rate tends to spread out as the rate increases, which is a possible violation of the Equal Variance Assumption. The Normal probability plot indicates that the Normal Population Assumption is satisfied nl Tort rinnifint Choose the correct null and alternative hypotheses. O A Ho: Boo HA Poto OB. Ho B, = 0 HAB, MO OC. Hy: Po-B0 Ha Boor 8,0 OD. Hy: Bo-B HA POP Determine the test statistic (Round to two decimal places as needed) Determine the P-value P-value- (Round to three decimal places as needed) Make a conclusion Since the P value is any reasonable significance level the null hypothesis. The association significant Male Unemployment Index sample of 52 countries. unemployment data parts a through d bel the icon to view the "A Powo o: B = 0 "AB, 0 6: Po=B0 HA: Po 0 or B. o to foBy HAPOB me the test statistic to two decimal places ne the P-value Country 2014 Rate 2017 Rate 24.8 22.4 2 11.9 11.6 3 8.2 11.7 4 19.3 17.7 25.5 222 14.9 14.6 16.9 14.7 8 13.8 11.8 9 11.9 10.3 10 30.5 30.6 11 8,5 14.6 12 22.2 19.9 13 8.8 75 14 14.7 11.1 15 21.8 15.4 16 28.2 16.1 17 22.1 3.2 18 24.5 25.5 19 13.4 26.7 20 18.2 18.6 21 7.0 22 16.4 19.5 23 9.5 9.2 24 20.1 8.4 25 21.7 16.4 26 10.1 10.9 27 12.4 11.6 28 15.7 11.1 29 21.5 15.5 30 21.9 20.1 to three decimal places conclusion e P-value is significant at percentage of the vari gression model account to one decimal place a Male Unemployment Index sample of 52 count ment data arough d bel to view the = 0 or B,#0 statistic. amal places 23 9.5 9.2 24 20.1 8.4 25 21.7 16.4 26 10.1 10.9 27 12.4 11.6 28 15.7 11.1 29 21.5 15.5 30 21.9 20.1 31 5.5 5.5 32 9.2 8.3 33 12.6 13.1 34 21.1 18.1 35 20.9 21.6 36 18.4 15.1 37 39.9 35.8 38 13.1 13.6 39 22.6 24.2 40 22.5 19.7 41 22.2 21.1 42 34.5 29.7 43 12.1 10.2 44 18.6 17.9 45 21.7 2.9 46 17.2 16.4 47 7.8 7.4 48 5.8 5.9 49 65.5 50 19.1 182 51 11.5 13.8 12.7 12.6 Country 2014 Rate 2017 Rate alue ecimal places h. is significant 621 Se of the varii 52 odel accounts cimal place a ur answer(s) Print Done O W