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answer G, H AND I

answer G, H AND I

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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answer G, H AND I

All computations should be done manually. Ensure that you s A leading company established in Jamaica is planning to extend its marketing region to include the entire Caribbean. In order to predict its sales in this new region, the company has asked you to develop a linear regression of the company's sales on the price of the good. The following data was supplied by the marketing department: Sales 418 Price 98 343 407 432 207 89 384 194 231 386 444 255 149 427 195 (a) Decide which variable should be the independent variable and which should be the dependent variable. Justify your decision. (b) Prepare a scatterplot of the data points. Does it appear from inspection that there is a relationship between the variables? Why or why not? (c) Compute ΣΧ. ΣΧ. ΣΥ. ΣΥΖ and Σ ΧΥ. (d) Find and interpret the slope of the regression line. (e) Find and interpret the intercept of the regression line. (f) Write down the regression equation. (g) Find and interpret the coefficient of determination. (h) Find and interpret the standard error. (1) Use the 5% level of significance to examine whether the independent variable is a good predictor for the dependent variable. In responding, state the null hypothesis(es) in words, the decision rule and make the decision for each hypothesis. (1) Would the simple regression be useful in predicting sales given a price of 300? In responding, state the null hypothesis(es) in words, the decision rule for a = 0.05 and make the decision for each hypothesis. (k) Find and interpret a 95% confidence interval for the slope of the regression line. (1) Find and interpret a 90% confidence interval for the sales when the corresponding price is $100.
Transcribed Image Text:All computations should be done manually. Ensure that you s A leading company established in Jamaica is planning to extend its marketing region to include the entire Caribbean. In order to predict its sales in this new region, the company has asked you to develop a linear regression of the company's sales on the price of the good. The following data was supplied by the marketing department: Sales 418 Price 98 343 407 432 207 89 384 194 231 386 444 255 149 427 195 (a) Decide which variable should be the independent variable and which should be the dependent variable. Justify your decision. (b) Prepare a scatterplot of the data points. Does it appear from inspection that there is a relationship between the variables? Why or why not? (c) Compute ΣΧ. ΣΧ. ΣΥ. ΣΥΖ and Σ ΧΥ. (d) Find and interpret the slope of the regression line. (e) Find and interpret the intercept of the regression line. (f) Write down the regression equation. (g) Find and interpret the coefficient of determination. (h) Find and interpret the standard error. (1) Use the 5% level of significance to examine whether the independent variable is a good predictor for the dependent variable. In responding, state the null hypothesis(es) in words, the decision rule and make the decision for each hypothesis. (1) Would the simple regression be useful in predicting sales given a price of 300? In responding, state the null hypothesis(es) in words, the decision rule for a = 0.05 and make the decision for each hypothesis. (k) Find and interpret a 95% confidence interval for the slope of the regression line. (1) Find and interpret a 90% confidence interval for the sales when the corresponding price is $100.
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