For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click here to view the data set. Click here to view the critical values table. (a) Draw a scatter diagram of the data. Choose the correct graph below. O A. O B. O c. O D Ay Ay 20- 20- 20- 20- HH A o+ 10 10 10 (b) By hand, compute the correlation coefficient. The correlation coefficient is r= . (Round to three decimal places as needed.) (c) Determine whether there is a linear relation between x and y. Because the correlation coefficient is and the absolute value of the correlation coefficient, , is than the critical value for this data set,, linear relation exists between x and y. (Round to three decimal places as needed.) - X Data set O X 6 6 7 AN 8 10 13 20 Print DoneCritical values for the correlation coefficient Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 |0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 |0.374 29 |0.367 30 0.361 n