Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,2) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? No Yes 10- 10 Table of Critical Values n n a = .05 a = .01 4 .950 .990 66988 5 .878 .959 .811 .917 7 .754 .875 .707 .834 .666 .798 10 .632 .765 11 .602 .735 234567222030 12 .576 .708 13 .553 .684 14 .532 .661 15 .514 .641 16 .497 .623 17 .482 .606 18 .468 .590 19 .456 .575 .444 .561 .396 .505 .361 .463 .335 .430 .312 .402 AE 304 770 Table of Critical Values TV .032 703 11 .602 .735 12 .576 .708 13 .553 .684 14 .532 .661 15 .514 .641 16 .497 .623 17 .482 .606 18 .468 .590 19 .456 .575 20 .444 .561 25 .396 .505 30 .361 .463 35 .335 .430 40 .312 .402 45 .294 .378 50 .279 .361 60 .254 .330 70 .236 .305 80 .220 .286 90 .207 .269 100 .196 .256 NOTE: To test Ho: p = 0 against H: p = 0, reject Ho if the absolute value of r is greater than the critical value in the table.