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. (a) Draw a scatter diagram of the data. Choose the correct graph below. O A. O B. O C. 20 Q 20- 20- 1 x (b) By hand, compute the correlation coefficient. X The correlation coefficient is r= ]. (Round to three decimal places as needed.) Critical values for the correlation coefficient (c) Determine whether there is a linear relation between x and y. Critical Values for Correlation Coefficient 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.) n 3 0.997 4 0.950 5 0.878 6 0.811 X 7 0.754 8 0.707 Data set 9 0.666 10 0.632 11 0.602 12 0.576 IN 6 7 13 0.553 8 11 13 19 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 Print Done 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 27 0.381 28 0.374 29 0.367 30 0.361 n Click to select y