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 X y 2 4 n 3 0 997 4 0 950 5 0 878 Critical Values for Correlation Coefficient 6 7 0 811 0 754 8 0 707 9 0 666 10 0 632 11 0 602 12 0 576 4 8 13 0 553 14 0 532 15 0 514 6 12 6 12 7 20 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 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 correlation coefficient is and the absolute value of the than the critical value for this data set linear relation exists between x and y