10 marks e. Can it be concluded that the slope of the regression line is negativ

Question

10 marks e. Can it be concluded that the slope of the regression line is negative? Formulate and test the appropriate hypotheses at the 5% significance level. Use the critical value approach. Test to deermine if stepe B is neoptive Hypothesis: Ho P is zero Hi o smeaning slope is neop live use dish but m us significance is 6%, aos is meons othe 1 esf is lee t toiled 0.05 Sp O. 735 (5 l) 2-a- 71.67 IA value is -2.328i which is 4230 Statistic. t's than t and we therefore reject the null hypothesis nazei 0.7568 0.7568 VIOL O 135 Introduction to Statistics

Explanation / Answer

what you have done is correct in step 3. Since it is a single tailed test, we do not need to divide by 2. The critical value you have obtained at 0.05, for a single tailed test for df=5 is 2.015 which is correct.

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