Estimate the population regression line.

Question

For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ₁ is given by (-2.2, -0.1). Which of the following statements are true? i) At a = 0.10, there is a significant linear relationship between x and y. ii) In the scatterplot of x and y, the values of y tend to decrease as the values of x increase. iii) Based on this confidence interval, we would reject the null hypothesis of no linear relationship at any significance level a ≤ 0.1. Select one: a. i) O b. i) and ii) O c. ii) d. i), ii), and iii)

Answer 1

Question

Chapter 13, Problem 58CR

a.

To determine

Estimate the population regression line.

b.

To determine

Compute the estimated standard deviation, sa.

Conduct a test to check whether the y intercept of the population regression line differs from zero.

c.

To determine

Compute the 95% confidence interval for α.

Check whether the result indicates that α=0 is possible and explain the reason.

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