In this problem, we use your critical values table to explore the significance of r based on different sample sizes. Critical Values for Correlation Coefficient r a = 0.05 a = 0.01 0.05 יח a = a = 0.01 a = 0.05 = 0.01 3 1.00 1.00 13 0.53 0.68 23 0.41 0.53 4 0.95 0.99 14 0.53 0.66 24 0.40 0.52 0.88 0.96 15 0.51 0.64 25 0.40 0.51 6. 0.81 0.92 16 0.50 0.61 26 0.39 0.50 0.75 0.87 17 0.48 0.61 27 0.38 0.49 8 0.71 0.83 18 0.47 0.59 28 0.37 0.48 9. 0.67 0.80 19 0.46 0.58 29 0.37 0.47 10 0.63 0.76 20 0.44 0.56 30 0.36 0.46 11 0.60 0.73 21 0.43 0.55 12 0.58 0.71 22 0.42 0.54 (a) Is a sample correlation coefficient p 0.84 significant at the a = 0.01 level based on a sample size of n = 4 data pairs? What about n = 10 data pairs? (Select all that apply.) %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. 0.05 level based on a sample size of n = 15 data pairs? What about n = 27 data pairs? (Select all that apply.) (b) Is a sample correlation coefficient p Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. 0.43 significant at the a = No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. 4:55 PM Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. ENG

In this problem, we use your critical values table to explore the significance of r based on different sample sizes. Critical Values for Correlation Coefficient r a = 0.05 a = 0.01 0.05 יח a = a = 0.01 a = 0.05 = 0.01 3 1.00 1.00 13 0.53 0.68 23 0.41 0.53 4 0.95 0.99 14 0.53 0.66 24 0.40 0.52 0.88 0.96 15 0.51 0.64 25 0.40 0.51 6. 0.81 0.92 16 0.50 0.61 26 0.39 0.50 0.75 0.87 17 0.48 0.61 27 0.38 0.49 8 0.71 0.83 18 0.47 0.59 28 0.37 0.48 9. 0.67 0.80 19 0.46 0.58 29 0.37 0.47 10 0.63 0.76 20 0.44 0.56 30 0.36 0.46 11 0.60 0.73 21 0.43 0.55 12 0.58 0.71 22 0.42 0.54 (a) Is a sample correlation coefficient p 0.84 significant at the a = 0.01 level based on a sample size of n = 4 data pairs? What about n = 10 data pairs? (Select all that apply.) %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. 0.05 level based on a sample size of n = 15 data pairs? What about n = 27 data pairs? (Select all that apply.) (b) Is a sample correlation coefficient p Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. 0.43 significant at the a = No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. 4:55 PM Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. ENG

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 2AGP

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