Regression Class Assignment

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Clark University *

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1150

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Statistics

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Jan 9, 2024

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docx

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Regression In Class Assignment Name: ___Alyssa Tran______________________________________________ Lab Section: Tuesday Wednesday Thursday 1. What is the formula for a regression line with one predictor variable? - Y’ = bX + a 2. Why is the regression line called the line of best fit ? - It is called the line of best fit because it minimizes the distance between the individual points and the regression line itself. 3. What does a unique contribution mean for a variable? - It means that the variable explains differences in the predicted variables that the other variables used did not. 4. Sally is interested in predicting how many 75-year-olds will develop Alzheimer’s disease and is using as predictors level of education and general physical health graded on a scale from 1 to 10. But she is interested in using other predictor variables as well. Answer the following questions to help Sally identify additional predictors: a. What criteria should she use in the selection of predictors? - The independent variables should be related to the dependent variable and should not be related to each other while providing a unique contribution to the variance in the outcome. b. If Sally identifies an additional predictor, write the new regression equation that will incorporate this new predictor. - Y’=bX1 + bX2 + bX3 + a

Regression In Class Assignment 5. Interpret the following results. a. Is the overall model significant? What is the F statistic for the model? How much variance does this model account for? - Yes, the overall model would be significant. F(2,28) = 3.56, p < 0.05. The variance accounts for 20% of the model. b. Are there any individual predictors that are significant? Describe. - The individual predictors is the time to quit on the PASAT significantly predicted time to the relapse of smoking. c. Put it all together. Summarize the overall findings of this analysis. - The overall regression of examining time to quit the PASAT significantly predicted a relapse of smoking. F(2,28) = 3.56, p < 0.05. The age of the first cigarette was not a significant unique predictor toward the model.

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