Question

QUESTION 9 The t test for the regression coefficient in the above question is 4.5, and the associated p value is 0.002. What can we conclude? 1. The slope of the regression line is equal to zero 2. The slope of the regression line is not equal to zero 03. The slope of the regression line is equal to 4.5 4. The slope of the regression line is equal to 0.002

Answer 1

SOLUTION:

From given data,

Question 9)

The t test for the regression coefficient in the above question is 4.5 and the associated p value is 0.002 what can we conclude.

Formulate an Analysis Plan

The analysis plan describes how to use sample data to accept or reject the null hypothesis. The plan should specify the following elements.

• Significance level. Often, researchers choose significance levels equal to 0.01, 0.05, or 0.10; but any value between 0 and 1 can be used.
• Test method. Use a linear regression t-test (described in the next section) to determine whether the slope of the regression line differs significantly from zero.

Assume : significance levels equal to 0.05

Since p-value = 0.002 < 0.05 = α then we reject the null hypothesis, and so we can’t conclude that the population slope is zero.

So,the answer is, Option(2) is correct.

The slope of the regression is not equal to zero.

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