[Step-by-Step] Expand Your Knowledge: Sample Size and Significance of Correlation In this problem we use Table 4-4 to explore the significance of r based


Question: Expand Your Knowledge: Sample Size and Significance of Correlation In this problem we use Table 4-4 to explore the significance of r based on different sample sizes.

See Problem 15.

  1. Is a sample correlation coefficient r = 0.820 significant at the a = 0.01 based on a sample size of n = 7 data pairs? What about = 9 data pairs?
  2. Is a sample correlation coefficient r = 0.40 significant at the a = 0.05 based on a sample size of m= 20 data pairs? What about m = 27 data pairs
  3. Is it true that in order to be significant, an r value must be larger than 0.90? larger than 0.70? larger than 0.50? What does sample size have to do with significance of r? Explain.

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