Mathematical Reasoning Questions

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

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Mathematical Reasoning Solutions

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. B. C. D. N 120-4 120-4 0 0 110- 110- LLL IQ score 10 score 100+ 72 68- 64- 0 60 56 52- 80 120 Height (inches) IQ score AM DO HH H UNIDELT 72 68- 64- 60- 56- 52+ 80 120 Height (inches) 90- H1 x Data Table 80- 52 Height (inches) 72 (b) Calculate the sample correlation coefficient r. e Height, x 61 59 IQ score, y 99 96 r= -0.077 (Round to three decimal places as needed.) 65 98 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 68 59 104 90 100 There is no linear correlation. 64 65 110 Interpret the correlation. Choose the correct answer below. 56 118 O A. As high school girls' heights increase their IQ scores tend to increase. O B. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores, O c. Increases in high school girls' heights cause their IQ scores to increase. D. Increases in high school girls' heights cause their IQ scores to decrease. O E. As high school girls' heights increase their IQ scores tend to decrease. OF. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. Print Done OOO

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