The Education Testing Service set out to test the relationship between two versions of an aptitude test. Use the scores in the table below to answer Problems 1-5.

2. A good way to check your work is to think logically about what the answer should be ahead of time. Based just on the scatterplot, what is a good estimate of the correlation coefficient? a. positive and close to zero. b. positive and close to one. c. negative and close to zero. d. negative and close to one. 3. What is the correlation coefficient for the data above? a. -.1543 b. .2011 C. -.8775 d. .6544 e. .9276 4. What is the coefficient of determination for the data above? a. -.8604 b. .7700 C. -.7700 d. .8604 e. .0404For this Lesson you will be given these formulas for the examination: EX . EY EXY n COVXY = n - 1 (n . EXY) - (EX . EY) V[ (n . EX2 ) - ( EX ) ] . [(n . EY2) - (EY) =] E[ ( x - X ) . ( Y - Y )] COVXY n - 1 COVXY rXY Sy . Sy E(zx . ZY) r = nThe Education Testing Service set out to test the relationship between two versions of an aptitude test. Use the scores in the table below to answer Problems 1-5. Subject Test A Test B RM 85 9 DH 80 7 KM 66 7 MH 50 4 ZM 40 3 K] 20 1 MN 0 2 1. Which is the correct scatter plot for the data? a, scattelplot a 10 - O 8 O m 6 a 3 4 |_ - O . O 2 O 0 | I x T r n O 20 40 60 80 1 00 Test A b. scatterplot b 10 C 8 6 Test B 2 O 20 40 60 80 100 3 meowried qianolson Test A c. scatterplot c 10 08 MX Test B HM ON O 20 40 60 80 100 Test A5. Determine the Table R critical value at the 0.05 level and choose one of the following conclusive statements about the data. a. The calculated r value exceeds the critical value and therefore we can reject the null hypothesis and conclude that the correlation coefficient is significantly greater than zero. b. The calculated r value does not exceed the critical value and therefore we can reject the null hypothesis and conclude that the correlation coefficient is significantly greater than zero. c. The calculated r value exceeds the critical value and therefore we can not reject the null hypothesis and conclude that the correlation coefficient is not significantly greater than zero. d. The calculated r value does not exceed the critical value and therefore we can reject the null hypothesis and conclude that the correlation coefficient is not significantly greater than zero. e. The calculated r value exceeds the critical value and therefore we can not reject the null hypothesis and conclude that the correlation coefficient is significantly greater than zero