Question

1. If the coefficient of correlation is 0.17, the percentage of variation in the dependent variable explained by the estimated regression equation is _____

Select one:

a. 17.00%

b. 97.11%

c. 2.89%

d. 0.03%

2. Given a data set with n = 10 observations, containing one independent variable, find the critical value for an F-test at α = 2.5% significance.

Show your answer with four decimal places.

3. Hypotheses test for two samples.

Two samples are randomly selected from normal populations. The sample statistics are given below.
n₁ = 18               n₂ = 13
₁ = 535     ₂ = 520
s₁ = 40                s₂ = 25

Use α = 0.01 to test the hypothesis that μ₁ > μ₂.

Select one:

a. critical value t_c = ±2.763; standardized test statistic t = 1.282; fail to reject H₀

b. critical value t_c = -1.313; standardized test statistic t = -1.282; reject H₀

c. critical value t_c = ±2.771; standardized test statistic t = -1.282; reject H₀

d. critical value t_c = 2.467; standardized test statistic t = 1.282; fail to reject H₀

Answer 1