MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Problem #1: The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Round to four decimals. Hours 4 Scores 78 96 85 80 74 90 a) Find the value of the linear correlation coefficientr. b) Find the P-value c) Compare the P-value to a significant level of a=0.05, is there a linear correlation between the hours of studying and the test scores? CAUTION: Know that correlation does not imply causality. Part 2: Hypothesis Test STEP 1: We can identify the null and the alternative hypotheses as follow: H: p= 0 (there is no correlation) H:: p= 0 (there is a correlation) Step 2: Find r Step 3: Find the test statistic and P-value Step 4: Decision about the null hypothesis. (P-value sa: Reject H: ; P-value >a: Fail to reject the H.) Step 5: conclusion about the claim. StatCrunch commands: stat < regression < simple linear < choose x and y < choose Hypothesis test< compute!
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Transcribed Image Text:Problem #1: The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Round to four decimals. Hours 4 Scores 78 96 85 80 74 90 a) Find the value of the linear correlation coefficientr. b) Find the P-value c) Compare the P-value to a significant level of a=0.05, is there a linear correlation between the hours of studying and the test scores? CAUTION: Know that correlation does not imply causality. Part 2: Hypothesis Test STEP 1: We can identify the null and the alternative hypotheses as follow: H: p= 0 (there is no correlation) H:: p= 0 (there is a correlation) Step 2: Find r Step 3: Find the test statistic and P-value Step 4: Decision about the null hypothesis. (P-value sa: Reject H: ; P-value >a: Fail to reject the H.) Step 5: conclusion about the claim. StatCrunch commands: stat < regression < simple linear < choose x and y < choose Hypothesis test< compute!
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