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The accompanying table shows the height (in inches) of 8 high school girls and their scores on an IQ test. Complete parts (a) through (d)
The accompanying table shows the height (in inches) of 8 high school girls 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 correlation coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. O A. OB. O c. O D. 130- Q 68- 130- . 120- 120- 8 110- 60- IQ score 110- IQ score 60- 100- 56- 100- 56- 90- 52- 90 52 68 90 130 52 68 90 130 Height (inches) Height (inches) Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. r= (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 linear correlation. Interpret the correlation. Choose the correct answer below. A. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. O B. Increases in high school girls' heights cause their IQ scores to increase. O C. As high school girls' heights increase, their IQ scores tend to increase. O D. Increases in high school girls' heights cause their IQ scores to decrease. O E. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores. O F. As high school girls' heights increase, their IQ scores tend to decrease (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. The critical value is . Therefore, there sufficient evidence at the 1% level of significance to conclude that between high school girls' heights and their IQ scores. (Round to three decimal places as needed.)\fCritical Values for the Pearson Correlation Coefficient X IS greater than the value in the taore. a = 0.05 (x = 0.01 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.707 0.834 0.666 0.798 0.632 0.765 0.602 0.735 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 21 0.433 0.549 22 0.423 0.537 23 0.413 0.526 24 0.404 0.515 25 0.396 0.505 26 0.388 0.496 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 35 0.334 0.430 40 0.312 0.403 45 0.294 0.380 50 0.279 0.361 55 0.266 0.345 60 0.254 0.330 65 0.244 0.317 70 0.235 0.306 75 0.227 0.296 80 0.220 0.286 85 0.213 0.278 90 0.207 0.270 95 0.202 0.263 100 0.197 0.256 n a = 0.05 ( = 0.01 Print Done
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