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. 52 68 90 Height (inches) 130 52 68 Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. Data Table - X r= -0.049 (Round to three decimal places as needed.) Height, x IQ score, y (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 63 107 59 100 There is no linear correlation. 64 103 67 112 Interpret the correlation. Choose the correct answer below. 58 93 63 109 Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. 65 116 O B. Increases in high school girls' heights cause their IQ scores to increase. 55 127 O c. As high school girls' heights increz 7s tend to increase. XD. Based on the correlation, there do be any relationship between high school girls' heights and their IQ scores. . O E. Increases in high school girls' heiç 2 scores to decrease. is not Print Done OF As high school girls' heights increa es tend to decrease. is (d) Use the table of critical values for the I an 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 V between high school girls' heights and their IQ scores. (Round to three decimal places as needed.)
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. 52 68 90 Height (inches) 130 52 68 Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. Data Table - X r= -0.049 (Round to three decimal places as needed.) Height, x IQ score, y (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 63 107 59 100 There is no linear correlation. 64 103 67 112 Interpret the correlation. Choose the correct answer below. 58 93 63 109 Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. 65 116 O B. Increases in high school girls' heights cause their IQ scores to increase. 55 127 O c. As high school girls' heights increz 7s tend to increase. XD. Based on the correlation, there do be any relationship between high school girls' heights and their IQ scores. . O E. Increases in high school girls' heiç 2 scores to decrease. is not Print Done OF As high school girls' heights increa es tend to decrease. is (d) Use the table of critical values for the I an 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 V between high school girls' heights and their IQ scores. (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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