Problem 32 BB

Equivalent Hypothesis Tests Explain why a test of the null hypothesis H0:ρ = 0 is equivalent to a test of the null hypothesis H0:β1 = 0, where ρ is the linear correlation coefficient for a population of paired data, and β1 is the slope of the regression line for that same population.

Answer:

Step 1 of 1

If = 0, then there is no correlation.

Hence the slope of the regression line will also be zero.