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In: Statistics and Probability

Suppose we have the following data on variable X (independent) and variable Y (dependent): X         Y...

  1. Suppose we have the following data on variable X (independent) and variable Y (dependent):

X         Y

2          70

0          70

4          130

  1. By hand, determine the simple regression equation relating Y and X.
  2. Calculate the R-Square measure and interpret the result.
  3. Calculate the adjusted R-Square.
  4. Test to see whether X and Y are significantly related using a test on the population correlation. Test this at the 0.05 level.
  5. Test to see whether X and Y are significantly related using a t-test on the slope of X. Test this at the 0.05 level.
  6. Test to see whether X and Y are significantly related using an F-test on the slope of X. Test this at the 0.05 level.

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