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(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 3.862 critical t= 4.03 X Conclusion: OYes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. O No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 5.462 critical t = 3.25 X Conclusion: lo Yes, the correlation coefficient is significantly different from 0 at the 0.01 level of significance.

(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 3.862 critical t= 4.03 X Conclusion: OYes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. O No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 5.462 critical t = 3.25 X Conclusion: lo Yes, the correlation coefficient is significantly different from 0 at the 0.01 level of significance.

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 24PFA
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(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 3.862 critical t = 4.03 X Conclusion: Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 5.462 critical t = 3.25 X Conclusion: Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r = 0.888 is the same in both parts. Does it appear that sample size plays an important role in determining the significance of a correlation coefficient? Explain. As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value. As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value. As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. As n increases, so do the degrees of freedom, and the test statistic. This produces a larger P value.
Transcribed Image Text:(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 3.862 critical t = 4.03 X Conclusion: Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 5.462 critical t = 3.25 X Conclusion: Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r = 0.888 is the same in both parts. Does it appear that sample size plays an important role in determining the significance of a correlation coefficient? Explain. As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value. As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value. As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. As n increases, so do the degrees of freedom, and the test statistic. This produces a larger P value.
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