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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. Cick here to view the data table. Cick here to view the table of ritical values for the Pearson correlation .coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. OB Oc. OD. 1304 120 110 130 120 64 604 100 90 Heghhe H hen Height nches nches) (b) Calculate the sample correlation coeficient r. Critical Values for the Pearson Correlation Coefficient (Round to three decimal places as needed.) (c) Describe the type of corelation, if any, and interpret the correlation in the context of the data. inear correlation. Critical Values for the Pearson Correlation There is Interpret the comrelation. Choose the comect answer below. Coefficient OA Based on the correlation, there does not appear to be any relationship between high school girts heights and their lIQ scores. OB. Increases in high school giris heights cause their IQ scores to increase. OC. Based on the corelation, there does not appear to be a linear relationship between high school giris heights and their 10 scores. The correlation is significant when the absolute value of is greater than the value in the table. a 0.05 0.950 0.878 0.811 0.754 0.707 a001 0.990 0.959 0.917 4 5 OD. As high school girs heights increase, their IQ scores tend to decrease. OE. Increases in high school giris' heights cause their 1Q scores to decrease. 0.875 0.834 0.798 OF As high school girls' heights increase, their Q scores tend to increase. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the corelation coeficient. Let a0.01. 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0.423 0.413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 0.334 0.312 10 11 0.765 0.735 The critical value is Therefore, there (Round to three decimal places as needed.) Vsufficient evidence at the 1% level of significance to conclude that between high school girts' heights and their IQ scores 12 13 14 0.708 0.684 15 16 17 18 19 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.549 0.537 Data Table 20 21 22 23 24 25 26 27 28 29 30 35 40 IQ score, y Height, x 61 104 0.526 0.515 0.505 0.496 0.487 96 102 67 108 57 89 63 102 0479 0.471 0.463 0.430 0403 0.380 64 111 54 121 45 50 55 0.294 0.279 0.266 0.361 0.345 Print Done 60 65 0.254 0.244 0.235 0.227 0.330 0.317 0.306 70 75 80 85 90 95 100 0.220 0.213 0.296 0.286 0.278 0.207 0.202 0.197 a 0.05 0.270 0.263 0 256 = 0.01

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. Cick here to view the data table. Cick here to view the table of ritical values for the Pearson correlation .coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. OB Oc. OD. 1304 120 110 130 120 64 604 100 90 Heghhe H hen Height nches nches) (b) Calculate the sample correlation coeficient r. Critical Values for the Pearson Correlation Coefficient (Round to three decimal places as needed.) (c) Describe the type of corelation, if any, and interpret the correlation in the context of the data. inear correlation. Critical Values for the Pearson Correlation There is Interpret the comrelation. Choose the comect answer below. Coefficient OA Based on the correlation, there does not appear to be any relationship between high school girts heights and their lIQ scores. OB. Increases in high school giris heights cause their IQ scores to increase. OC. Based on the corelation, there does not appear to be a linear relationship between high school giris heights and their 10 scores. The correlation is significant when the absolute value of is greater than the value in the table. a 0.05 0.950 0.878 0.811 0.754 0.707 a001 0.990 0.959 0.917 4 5 OD. As high school girs heights increase, their IQ scores tend to decrease. OE. Increases in high school giris' heights cause their 1Q scores to decrease. 0.875 0.834 0.798 OF As high school girls' heights increase, their Q scores tend to increase. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the corelation coeficient. Let a0.01. 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0.423 0.413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 0.334 0.312 10 11 0.765 0.735 The critical value is Therefore, there (Round to three decimal places as needed.) Vsufficient evidence at the 1% level of significance to conclude that between high school girts' heights and their IQ scores 12 13 14 0.708 0.684 15 16 17 18 19 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.549 0.537 Data Table 20 21 22 23 24 25 26 27 28 29 30 35 40 IQ score, y Height, x 61 104 0.526 0.515 0.505 0.496 0.487 96 102 67 108 57 89 63 102 0479 0.471 0.463 0.430 0403 0.380 64 111 54 121 45 50 55 0.294 0.279 0.266 0.361 0.345 Print Done 60 65 0.254 0.244 0.235 0.227 0.330 0.317 0.306 70 75 80 85 90 95 100 0.220 0.213 0.296 0.286 0.278 0.207 0.202 0.197 a 0.05 0.270 0.263 0 256 = 0.01

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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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. OA. OB. Oc. OD. Q 130- 120- 110- o 100- 90 H 68+ 68- 130- 120 64- 64- 110- 60- 60- g 100+H 90- 56- 56- 52- 80 Height (inches) 80+ 52 52- 80 Height (inches) 80- 52 130 68 130 68 Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. Critical Values for the Pearson Correlation Coefficient (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. Critical Values for the Pearson Correlation Coefficient Interpret the correlation. Choose the correct answer below. O A. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores. The correlation is significant when the absolute value of 1 is greater than the value in the table. O B. Increases in high school girls' heights cause their IQ scores to increase. O C. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. a = 0.05 0.950 a = 0.01 0.990 O D. As high school girls' heights increase, their IQ scores tend to decrease. 4 0.878 0.811 0.959 0.917 5 O E. Increases in high school girls' heights cause their IQ scores to decrease. 0.754 0.707 0.875 0.834 0.798 O F. As high school girls' heights increase, their IQ scores tend to increase. 8 (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. 9 0.666 10 0.632 0.765 The critical value is I. Therefore, there sufficient evidence at the 1% level of significance to conclude that between high school girls' heights and their IQ scores. 11 0.602 0.735 12 0,576 0.708 (Round to three decimal places as needed.) 0.684 0.661 13 0.553 14 0.532 15 0.514 0.641 16 0.497 0.623 Data Table 17 0.482 0.606 0.468 0.456 0.444 18 0.590 0.575 19 0.561 0.549 20 Height, x IQ score, y 21 0.433 61 104 22 0.423 0.537 56 96 23 0.413 0.526 24 0.404 0.515 0.505 63 102 25 0.396 0.388 67 108 26 0.496 57 89 0.381 0.374 0.487 0.479 27 63 102 28 64 111 29 0.367 0.471 0.361 0.334 30 0.463 54 121 0.430 0.403 35 40 0.312 0.294 0,380 O 361 45 50 0.279 0.361 0 266 0.345 0.330 0.317 55 0.266 Print Done 60 0.254 65 0.244 70 0.306 0.296 0.235 75 0.227 80 0.220 0.286 0.213 0.207 0.202 0.278 0.270 0.263 0.256 85 90 95 0.197 a = 0.05 100 a = 0.01 O Time Re Print Done IQ score IQ score
Transcribed Image Text: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. OA. OB. Oc. OD. Q 130- 120- 110- o 100- 90 H 68+ 68- 130- 120 64- 64- 110- 60- 60- g 100+H 90- 56- 56- 52- 80 Height (inches) 80+ 52 52- 80 Height (inches) 80- 52 130 68 130 68 Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. Critical Values for the Pearson Correlation Coefficient (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. Critical Values for the Pearson Correlation Coefficient Interpret the correlation. Choose the correct answer below. O A. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores. The correlation is significant when the absolute value of 1 is greater than the value in the table. O B. Increases in high school girls' heights cause their IQ scores to increase. O C. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. a = 0.05 0.950 a = 0.01 0.990 O D. As high school girls' heights increase, their IQ scores tend to decrease. 4 0.878 0.811 0.959 0.917 5 O E. Increases in high school girls' heights cause their IQ scores to decrease. 0.754 0.707 0.875 0.834 0.798 O F. As high school girls' heights increase, their IQ scores tend to increase. 8 (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. 9 0.666 10 0.632 0.765 The critical value is I. Therefore, there sufficient evidence at the 1% level of significance to conclude that between high school girls' heights and their IQ scores. 11 0.602 0.735 12 0,576 0.708 (Round to three decimal places as needed.) 0.684 0.661 13 0.553 14 0.532 15 0.514 0.641 16 0.497 0.623 Data Table 17 0.482 0.606 0.468 0.456 0.444 18 0.590 0.575 19 0.561 0.549 20 Height, x IQ score, y 21 0.433 61 104 22 0.423 0.537 56 96 23 0.413 0.526 24 0.404 0.515 0.505 63 102 25 0.396 0.388 67 108 26 0.496 57 89 0.381 0.374 0.487 0.479 27 63 102 28 64 111 29 0.367 0.471 0.361 0.334 30 0.463 54 121 0.430 0.403 35 40 0.312 0.294 0,380 O 361 45 50 0.279 0.361 0 266 0.345 0.330 0.317 55 0.266 Print Done 60 0.254 65 0.244 70 0.306 0.296 0.235 75 0.227 80 0.220 0.286 0.213 0.207 0.202 0.278 0.270 0.263 0.256 85 90 95 0.197 a = 0.05 100 a = 0.01 O Time Re Print Done IQ score IQ score
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