Explain why fitting a linear model to this data may be misleading. If you fit a linear model to this data what do you think a scatter plot of the residuals will look like?
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- Give an example of how a nonrepresentative sample can severely affect a regression analysis.Provide an example of a research project in your hometown where you would choose to use linear regression. What variable would be your Y-score, and what variable would be your X-score? What does a regression line represent? What is the standard error of estimate?3. Describe the problem that outliers present for a regression analysis and outline what you could do to resolve this problem.
- When should a regression model not be used to make a prediction?Briefly describe what is meant by the problem of errors in measurement of the predictor variables and describe its effect on a regression analysis.Develop a scatterplot and explore the correlation between customer age and net sales by each type of customer (regular/promotion). Use the horizontal axis for the customer age to graph. Find the linear regression line that models the data by each type of customer. Round the rate of changes (slopes) to two decimal places and interpret them in terms of the relation between the change in age and the change in net sales. What can you conclude? Hint: Rate of Change = Vertical Change / Horizontal Change = Change in y / Change in x
- when a regression is used as a method of predicting dependent variables from one or more independent variables. How are the independent variables different from each other yet related to the dependent variable?Write out the full linear model including all dummy variables below. Don’t worry about estimating regression coefficients just yet. Feel free to abbreviate variable names so long as they are clearly distinguishable.Data were collected that included information on the weight of the trash (in pounds) on the street one week and the number of people who live in the house. The figure shows a scatterplot with the regression line. Complete parts (a) through (d) below.