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You wish to determine if there is a linear correlation between the two variables at a significance level of =0.01=0.01. You have the following bivariate

You wish to determine if there is a linear correlation between the two variables at a significance level of =0.01=0.01. You have the following bivariate data set.

x y
39.7 171
29.5 154.1
31.4 172.1
24.6 -59.6
46.2 51.8
31.7 160.3
25.2 -13.2
17.6 -46.2
40 156.7
41.2 -14.6

What is the critival value for this hypothesis test? (Note: enter the positive of the two if a two-tailed test) What is the correlation coefficient for this data set? Your final conclusion is that

  • there is insufficient evidence to conclude that the there is a correlation between the two variables.
  • there is insufficient evidence to conclude that the there not is a correlation between the two variables.
  • there is sufficient evidence to conclude that there is a correlation between the two variables.
  • there is sufficient evidence to conclude that there is not a correlation between the two variables.

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