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s_m7_handouts - Rev F7 STA 2023 Module 7 Linear Regression...

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Rev. F7 1 STA 2023 Module 7 Linear Regression Rev. F8 2 Learning Objectives 6QPO DPNQMFUJOH UIJT NPEVMF± ZPV TIPVME CF BCMF UP² 1. Define and apply the concepts related to linear equations with one independent variable. 2. Explain the least-squares criterion. 3. Obtain and graph the regression equation for a set of data points, interpret the slope of the regression line, and use the regression equation to make predictions. 4. Define and use the terminology predictor variable and response variable. 5. Understand the concept of extrapolation. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev. F8 3 Learning Objectives (Cont.) 6. Identify outliers and influential observations. 7. Know when obtaining a regression line for a set of data points is appropriate. 8. Calculate and interpret the three sums of squares, SST, SST, and SSR , and the coefficient of determination. 9. Determine and interpret the linear correlation coefficient, r . 10. Explain and apply the relationship between the linear correlation coefficient and the coefficient of determination. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules.

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Rev. F7 2 Rev. F8 4 What is “Scatterplot”? Scatterplots may be the most common and most effective display for data. In a scatterplot, you can see patterns, trends, relationships, and even the occasional extraordinary value sitting apart from the others. Scatterplots are the best way to start observing the relationship and the ideal way to picture associations between two quantitative variables. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev. F8 5 Looking at Scatterplots When looking at scatterplots , we will look for direction , form , strength , and unusual features . Direction : – A pattern that runs from the upper left to the lower right is said to have a negative direction. – A trend running the other way has a positive direction. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev. F8 6 Looking at Scatterplots (cont.) This figure shows a positive association between the year since 1900 and the % of people who say they would vote for a woman president. As the years have passed, the percentage who would vote for a woman has increased. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules.
Rev. F7 3 Rev. F8 7 Looking at Scatterplots (cont.) • This figure shows a negative association between central pressure and maximum wind speed • As the central pressure increases, the maximum wind speed decreases. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev. F8 8 Looking at Scatterplots (cont.) Form : – If there is a straight line ( linear ) relationship, it will appear as a cloud or swarm of points stretched out in a generally consistent, straight form. ht p:/ faculty.

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This note was uploaded on 10/18/2011 for the course STA 2023 taught by Professor Shaw during the Summer '11 term at Valencia.

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s_m7_handouts - Rev F7 STA 2023 Module 7 Linear Regression...

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