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MATH - Linear Regression Assignment




Question;In this assignment, you will use a spreadsheet to examine pairs of variables, using themethod of linear regression, to determine if there is any correlation between the variables.Afterwards, you will postulate whether this correlation reveals a causal relationship (and why).This spreadsheet (in attachment) contains the data from a study that attempted to see ifthere is a correlation between the hours that students studied and the grade that they earned on atest. The correlation test you are about to run will help you to determine if there is, in fact, acorrelation between study time and test score. If you find a strong correlation, then you willpostulate whether you feel this indicates a causal relationship.Below are instructions on how to perform this correlation test in Microsoft Excel.In the Excel spreadsheet, perform the following operations:1. Save the spreadsheet to your computer.2. With your mouse, highlight all of the data on the spreadsheet in columns A and B.3. In the tabs at the top of the page, click Insert.4. In the Insert ribbon, in the Charts section, click Scatter. Be sure to select the optionwhere it will just plot dots, it will be called Scatter with only Markers. If you do thisright, then you'll see a chart on the page.5. Now, on the chart, right-click on one of the data points (dots). Just pick a dot somewherenear the middle of the distribution.6. Select Add Trendline from the drop-down menu that appears when you right-click on adot.7. A new menu will appear. Select Linear, select Automatic, and click the boxes next toDisplay Equation on chart and Display r-squared value on chart.8. Click Close.9. Now, you should see a line drawn through the dots. It will roughly cut through the middleof the dot distribution.10. You'll also see the linear regression equation and r2 value displayed next to the line.(Example of A Spreadesheet with Completed Analysis is also attached)Now that youve completed your analysis and determined the linear regression formula and r2, itis now time to report on the results of your study and examine your findings.In a Microsoft Word document, respond to the following:1. Report the sample you selected and the question that was explored in the study.2. Report the r2 linear correlation coefficient and the linear regression equation produced inthe Excel spreadsheet.3. What would be the value of Pearsons r (simply the square root of r2)?4. Would Pearsons r be positive or negative? What does this imply about the relationshipbetween the factors in this study?5. What is the implication of any correlation found between the variables in the study youpicked?6. Does this correlation imply a causal relationship? Explain.7. Are there other variables that you think should have been examined that would haveimproved this study or helped to pinpoint what factors are causal?For this assignment, you will submit a spreadsheet and a report. The spreadsheet will be theMicrosoft Excel file containing your scatterplot and analysis


Paper#60495 | Written in 18-Jul-2015

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