The accompanying table shows the height (in inches) of 8 high school giris and their scores on an IQ test. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson comrelation coefficient (a) Display the data in a scatter plot. Choose the correct graph below. OA OB. Oc. 130 130 120 120 110- 100 sot so Height inches) Height ndhes) Height nches He ndhes (b) Calculate the sample correlation coeficientr. (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is inear corelation. Interpret the comelation. Choose the correct answer below. OA As high school girts' heights increase, their 1Q scores tend to decrease. OB. As high school girts' heights increase, their 1Q scores tend to increase. OC. Based on the corelation, there does not appear to be a linear relationship between high school giris' heights and their IQ scores. OD. Based on the comelation, there does not appear to be any relationship between high school giris' heights and their 1Q scores. OE Increases in high school giris' heights cause their la scores to decrease. OF. Increases in high school girls' heights cause their IQ scores to increase. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the corelation coefficient. Let a0.01. The critical value is O Therefore, there V sufficient evidence at the 1% level of significance to conclude that Vbetween high school girts' heights and their 1Q scores . (Round to three decimal places as needed.) there is no comelation there is a significant linear corelation Critical Values for the Pearson Correlation Coefficient Data Table Height, x IQ score, y Critical Values for the Pearson Corelation Coefficient 62 106 58 97 64 102 67 112 The correlation is significant when the absolute value of is greater than the value in the table. 59 92 65 105 -005a– 0.01 66 55 114 0.950 0.990 0.959 0.917 0.960 123 0.878 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.754 0.707 0.666 0.632 Print Done 10 11 12 13 0.002 0576 0.553 0.532 0.514 0.497 0.482 0.468 14 15 16 17 18 19 0.456 0.575 20 21 22 0.444 0.433 0423 0.561 0.549 0.537 23 0.413 0.404 0.396 0.388 0.381 0374 0.367 0.526 24 26 27 28 29 0.505 0.496 0.487 0.479 0.471 0463