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- 1. Estimate the retails sales in the U. S. in 2011. billions of dollars = 2. Use the model to predict the year that corresponds to retails sales of $249 billion =Which of the following is/are true for logistic regression model? I. The independent variable must be continuous. II. The dependent variable can only have 2 levels/categories. I only II only…Fifty states Here is a data set on various measures of the50 United States. The Murder rate is per 100,000, HSGraduation rate is in %, Income is per capita income indollars, Illiteracy rate is per 1000, and Life Expectancy isin years. Find a regression model for Life Expectancywith three predictor variables by trying all four of thepossible models.a) Which model appears to do the best?b) Would you leave all three predictors in this model?c) Does this model mean that by changing the levels ofthe predictors in this equation, we could affect lifeexpectancy in that state? Explain. d) Be sure to check the conditions for multiple regres-sion. What do you conclude?
- Grade Prediction. The Statistics Department at a large university would like to predict the final grades of students in its introductory statistics course. a. If the final grade is measured as a percentage from 0% to 100%, suggest five predictor variables that might be useful in predicting final grade. b. Write the multiple linear regression model for the conditional mean of the response variable, final grade.Training Dept. of Nimrod Inc wants to develop a regression-based compensation model (compensation in $ per year, Comp) for its mid-level managers to encourage performance, loyalty, and continuing education based on three variables. ▪ Business unit-profitability (Profit per year in $). ▪ Working experiences in Nimrod Inc (Years). ▪ Whether or not a manager has a graduate degree (Grads). If a manager has a graduate degree equals 1, 0 otherwise. Table Attached Question: Use the (full) model to determine the compensation for a manager who has been working for twelve years in a company, no graduate degree, and Nimrod Inc profit of $8.000.000 last year.1. Suppose that you estimate a model of house prices to determine the impact of having beach frontage on the value of a house.14 You do some research, and you decide to use the size of the lot instead of the size of the house for a number of theoretical and data availability rea- sons. Your results (standard errors in parentheses) are: PRICE; = 40 + 35.0 LOT¡ – 2.0 AGE; + 10.0 BED; – 4.0 FIRE; (1.0) (5.0) (10.0) (4.0) (10) N = 30 R2 =.63 where: PRICE¡ =the price of the th house (in thousands of dollars) =the size of the lot of the th house (in thousands of square feet) = the age of the th house in years =the number of bedrooms in the th house =a qualitative/dummy variable for a fireplace (1 = yes for the th house) LOT; AGE; BED; FIRE; a. You expect the variables LOT and BED to have positive coefficients. Create and test the appropriate hypotheses to evaluate these expectations at the 5-percent level. b. You expect AGE to have a negative coefficient. Create and test the appropriate…
- 9. Is a Linear Model Appropriate? The number, in thousands, of bacteria in a petri dish is given by the following table. Time is measured in hours. 27This is taken from the Statistical Abstract of the United States and inC10. In Exercise 6, we examined the relationship between vears of education and hours ot television watched per day. We saw that as education increases, hours of television viewing decreases. The number of children a family has could also affect how much television is viewed per day. Having children may lead to more shared and supervised viewing and thus increases the number of viewing hours. The following SPSS output displays the relationship between television viewing (measured in hours per day) and both education (measured in years) and number of children. We hypothesize that whereas more education may lead to less viewing, the number of children has the opposite effect: Having more children will result in more hours of viewing per day. Sig. ,000 .000 a. What is the b coefficient for education? For number of children? Interpret each coefficient. Is the relationship between each independent variable and hours of viewing as hypothesized? b. Using the multiple regression equation with…Training Dept. of Nimrod Inc wants to develop a regression-based compensation model (compensation in $ per year, Comp) for its mid-level managers to encourage performance, loyalty, and continuing education based on three variables. ▪ Business unit-profitability (Profit per year in $). ▪ Working experiences in Nimrod Inc (Years). ▪ Whether or not a manager has a graduate degree (Grads). If a manager has a graduate degree equals 1, 0 otherwise. Table Attached Question: Which explanatory variables and interaction terms are significant and not significant at alpha = 5%? Explain your answer briefly.
- 1. Referring to Scenario 13-11, which of the following is the correct interpretation for the slope coefficient?a) For each decrease of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.b) For each increase of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.c) For each decrease of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.d) For each increase of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…