Question
Problem 2a: Find the equation of the linear regression line relating Variable 6 and Variable 4 in your survey, based on the 20 pairs of
Problem 2a: Find the equation of the linear regression line relating Variable 6 and Variable 4 in your survey, based on the 20 pairs of sample data values you created for these two variables in Problem 1. Copy and paste the first screen of the Simple Linear Regression results window from StatCrunch to your Word solutions file under the subheading Problem 2a.Type the linear regression equation under the pasted Simple Linear Regression results window. Problem 2b: Based on the appropriate output displayed in the Simple Linear Regression Results window, what percent of the variation in the dependent variable is explained by the independent variable? Type your answer in the Word solutions file under the subheading Problem 2b. Appropriately Interpret your answer.
Problem 2c Based on the appropriate output displayed in the Simple Linear Regression Results window, is there a positive (direct) or negative (inverse) relationship between the independent variable and the dependent variable. How can you tell? Explain by referring to at least two different sources of output displayed in the Simple Linear Regression Results window .Type your answer in the Word solutions file under the subheading Problem 2c. Make sure that you answer is stated in the context of your survey.
Problem 2d Based on the appropriate output displayed in the Simple Linear Regression Results window, conduct the appropriate hypothesis test to see if there is a significant positive relationship between the independent variable and the dependent variable. Assume a Level of Significance of 5%. In your Word solution file, under a subheading entitled Problem 2d, display all the steps using the 4 step P-value Approach. Type the appropriate P-value in the Word solutions file, under Step 2 of the hypothesis test. Appropriately interpret your final decision.
Problem 2e Construct a 99% prediction interval for Variable 6 based on a specific value that you specify for Variable 4. Based on the appropriate Simple Linear Regression Results window, pasted in your Word document, type the prediction interval in the Word solutions file under the subheading Problem 2e. Appropriately interpret your prediction interval.
Attached data below from problem 1
Response Number Gender Satisfaction Level Distance in Km Age of the Responds Gross Monthly Incom Supermarket Expend 2 3 2 31 3300 2000 N 2 N 5 20 2000 1000 2 3 40 6000 3100 A 2 7 55 5500 2500 N 44 7800 3400 45 8000 4300 N 35 3000 1700 N 26 3500 1500 N 10 76 9000 3700 10 N N N 65 8500 4100 11 41 4500 2000 12 A 47 5000 2600 13 N 33 2800 1600 14 N 35 4000 1800 15 N 37 5850 2000 16 N N 30 3580 1750 17 N N A 38 4100 2540 18 N CO 43 3200 1100 19 N N 20 1700 700 20 N 10 58 7000 4000Step by Step Solution
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