The hypotheses for the test for significance of the coefficient of determination are: H0: R²pop = 0 ;H¹: R²pop 0.

Question

The hypotheses for the test for significance of the coefficient of determination are: H0: R²pop = 0 ;H¹: R²pop > 0.

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These hypotheses are correct for a test of whether the sample coefficient of determination (R-squared) is significantly different from zero. The null hypothesis (H0) states that the population coefficient of determination is equal to zero, which would mean that there is no linear relationship between the independent and dependent variables. The alternative hypothesis (H1) states that the population coefficient of determination is greater than zero, which would mean that there is a positive linear relationship between the variables.

The Hypotheses for the Test for Significance of the Coefficient