Obtain grand mean and unadjusted means for the ancova model

Question

Question for the survey data.

- Provide sample Pearson correlation coefficient for "intimacy" and "commit".

- Obtain 90% confidence interval of the population Pearson correlation coefficient.

- Test the null hypothesis, H₀ : ρ = 0, H₁ : ρ > 0 under the desired significance level

Question for the salary data.

- Estimate in the case that the response is "salary" and the predictor is "years".

- Obtain ANOVA table.

- Obtain 90% confidence interval of .

- Test the null hypothesis, H₀: β₁ = 0 H₁ : β₁ ≠ 0 under the desired significance level

Question for the hypothetical data.

- Obtain grand mean and unadjusted means for the ANCOVA model where covariate, "xc", Treatment, "a", response, "y" are considered.

- Calculate adjusted means given the estimates below.