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- The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He has also recorded data on potentially relevant variables. The data are listed in the file P13_17.xlsx. a. Estimate a simple regression equation involving annual sales (the dependent variable) and the size of the population residing within 10 miles of the restaurant (the explanatory variable). Interpret R-square for this regression. b. Add another explanatory variableannual advertising expendituresto the regression equation in part a. Estimate and interpret this expanded equation. How does the R-square value for this multiple regression equation compare to that of the simple regression equation estimated in part a? Explain any difference between the two R-square values. How can you use the adjusted R-squares for a comparison of the two equations? c. Add one more explanatory variable to the multiple regression equation estimated in part b. In particular, estimate and interpret the coefficients of a multiple regression equation that includes the previous years advertising expenditure. How does the inclusion of this third explanatory variable affect the R-square, compared to the corresponding values for the equation of part b? Explain any changes in this value. What does the adjusted R-square for the new equation tell you?#8 A cracker manufacturer wants to know how a new cracker she wants to make compares to the competition, so she has people in a sample of supermarkets across the country ask people to compare three crackers: one of her crackers and two competing crackers. This is an example of what kind of statistical study? Experiment Survey Observational StudySuppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri, at rush hour by standing on the corner of I-70 and I-470 and counting SUVs. You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence. Appendix A Statistical Tables (Round your answer up to the nearest integer.) Sample enter a number of cars rounded to the nearest integer
- Identify the sampling method used in each of the given situations.In a bakery, a sample of 19 days was taken to study the daily sales it was found that the mean daily sales are 127 with a sample standard deviation is 81 The 50 percent upper confidence limit for the population mean a daily sale would be? (Round answer to two decimal places ex. 2.09)8. assignment variable at which the treatment status does NOT change In Regression Discontinuity framework, the cutoff is defined as the level of the True False 9. What regression equation do we use for regression discontinuity framework? a) Y = Bo + B1 T + B2Xu+ Ei b) Y = Bo + B,T+ B2C + ei c) Y, = Bo + B, T+ B2 (Xi-C) + ei d) Y, = Bo + B1T + B2 (Xu + C) + € 10. Regression Discontinuity Design accomplices apples-to-apples comparison by comparing individuals as far from the cutoff as possible. True False
- Side-by-side box plots are typically a good way to begin the analysis when comparing two populations. a. True b. False5. What are the main statistical tools used for quality control and quality improvement?A company that sells and services car music systems has surveyed residents of the local area surrounding the store as a way to expand their business. They handed out cards at a busy intersection near the store over a two-weekend time period. After a month, they have received 200 responses out of 950 they distributed. The results of this survey will likely be ineffective because a handing out postcards is not a legitimate survey method handing out postcards is not a legitimate survey method b the sample of people may not be the store’s appropriate target the sample of people may not be the store’s appropriate target c not enough people responded not enough people responded D participants did not get a reward for responding