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. a) Find a regression model predicting the 2017 rate from the 2014 rate for the sample of 52 countries. A 2017Rate= D + :| X2014Rate (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. Q Q Q q 0 20 40 60 80 O 20 40 60 80 2014 Rate 2014 Rate Construct a Normal probability plot of the residuals. Choose the correct graph below. i_"'- A. C\" B. 25 Residuals Residuals Normal Scores Normal Scores Residuals 0 20 40 60 50 2014 Rate Normal Scores O 20 40 60 80 2014 Rate Normal Scores Evaluate the plots to determine if a linear regression is appropriate. Choose the correct answer below. '3 A. The linear regression is appropriate. The plot of the residuals against the 2014 rate shows no pattern, which satisfies the conditions for linear regression. The Normal probability plot indicates that the Normal Probability Assumption is violated. B. 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 satised. if\" C. 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 satised. 5" D. 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. c) Test an appropriate hypothesis to determine if the association is signicant. Choose the correct null and alternative hypotheses. '3 A- \"03 I30 =l31= HA:|30#Oor|31#O ":' 3- Hoi I30 =l31 HA3 I30 5' [31 {1 c. Hoz=0 HA:pUo D. Hoz1=0 HAz1aO Determine the test statistic. t=D (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. d) What percentage of the variability in the 2017 rate is accounted for by the regression model? The regression model accounts for | % of the variability in the 2017 rate. (Round to one decimal place as needed.)