question archive Measurements on two variables, X and Y, where taken from 180 individuals with the following summary statistics: Suppose we wanted to test the hypothesis that there was no linear relationship between X and Y, against the alternate hypothesis that there is some kind of linear relationship between the two variables

Measurements on two variables, X and Y, where taken from 180 individuals with the following summary statistics: Suppose we wanted to test the hypothesis that there was no linear relationship between X and Y, against the alternate hypothesis that there is some kind of linear relationship between the two variables

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Measurements on two variables, X and Y, where taken from 180 individuals with the following summary statistics:

  1. Suppose we wanted to test the hypothesis that there was no linear relationship between X and Y, against the alternate hypothesis that there is some kind of linear relationship between the two variables. What would be the appropriate null and alternate hypothesis statements?
  2. Using the fact that was found to be 0.446199829 and was found to be 0.64885105, what would be the value of the test statistic for the hypothesis test?
  3. Determine the p-value for the hypothesis test.
  4. Determine if there is evidence to suggest there is in fact a linear relationship between X and Y, at the 5% level of significance.

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