To better understand the relationship between one's region of US residency (South or North)and their voting behavior (voted or not) during the latest mid-term election, Student Acollected a random sample of 4,960 individuals. Student A hypothesized that the region ofUS residency and voting behavior are related in the population. They further selected theChi-square test and alpha = .05.Voted?TotalSouthNorthYes100216352637No14588652323Total2460250049601) What is the null hypothesis? (10 Points)2) Calculate the expected frequency for those who live in the North but did not vote. Pleaseinclude the formula and the step with the numbers. (10 Points)fe303.02.for Student A.3) Student A conducted a Chi-Square test and got an answer of x²-Σ (fo¯fe)²Please look up the Chi-square table in the Appendix and make aPlease clearly identify the p-value associated with the Chi-square score and state yourconclusion. (10 Points)4) Student B found an error in Student A's calculation andented an answer of x2 ==(\fo-fe|-0.5)²= 302.04. Whose answer is more accurate? Please provide a briefΣfeexplanation. (10 Points)

1 )The null hypothesis (H0) in a Chi-Square test for independence typically states that there is no…

Answered: To better understand the relationship…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter13: Regression And Forecasting Models

Section13.4: Multiple Regression Models

Problem 17P: The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He...

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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?
A sample of twenty automobiles was taken, and the miles per gallon (MPG), horsepower, and total weight were recorded. Develop a linear regression model to predict MPG using horsepower as the only indepen- dent variable. Develop another model with weight as the independent variable. Which of these two models is better? Explain. MPG 44 44 40 37 37 34 35 32 30 28 26 26 25 22 20 21 18 18 16 16 4 HORSEPOWER 67 50 62 69 66 63 90 99 63 91 94 88 124 97 114 102 114 142 153 139 WEIGHT 1,844 1,998 1,752 1,980 1,797 2,199 2,404 2,611 3,236 2,606 2,580 2,507 2,922 2,434 3,248 2,812 3,382 3,197 4,380 4,036
1 3. 4 y 703 3295 8279 14390 25470 37673 Use linear regression to find the equation for the linear function that best fits this data. Round to two decimal places.
Consider the following hypothesis test: Ho: µ 2 45 Ha: µ < 45 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01. a. With = 44 and s = 5.2, the p-value is - Select your answer - Can it be concluded that the population mean is less than 45 ? |- Select your answer - b. With = 43 and s = 4.6, the p-value is - Select your answer Can it be concluded that the population mean is less than 45? Select your answer - c. With a = 46 and s = 5, the p-value is - Select your answer - Can it be concluded that the population mean is less than 45? |- Select your answer -
Which best describes the null hypothesis associated with an Analysis of Variance (ANOVA)? Group of answer choices a. Ho: Variance 1 = Variance 2 = Variance 3 b. Ho: Standard Deviation 1 = Standard Deviation 2 = Standard Deviation 3 c. Ho: Proportion 1 = Proportion 2 = Proportion 3 d. Ho: Median 1 = Median 2 = Median 3 e. Ho: Mean 1 = Mean 2 = Mean 3
Consider the following data for a dependent variable y and two independent variables, x and x X2 у 13 95 10 X1 30 46 24 51 40 52 74 36 59 76 17 16 5 19 7 13 13 17 109 112 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. Predict y if x 35. 9- 178 94 175 170 118. 143 211 a. Develop an estimated regression equation relating y to xx- ŷ= XI Predict y if x2 - 25. 9- b. Develop an estimated regression equation relating y to x₂- 9- c. Develop an estimated regression equation relating y toxy and x 9- x+[ x2
Mabbly Marketing conducted a study includes 200 sports enthusiast and obtained the following data: Sports College No College Preference Degree Degree NBA 40 55 NFL 10 95 What is the probability that a randomly selected survey participant prefers the NFL? 0.5880 0.5250 0.2000 0.6050
Global Bikes Inc. (a bicylce manufacturing firm) collected the following data during a study of consumer buying patterns. Observation 1 2 3 4 5 6 7 y= X y 15 70 28 79 38 89 35 86 49 97 42 97 30 82 y = Observation 0.721 + 1890123 a. Create a linear regression line (equation) for the data.(Round your Intermediate calculations and final answers to 3 decimal places.) X 14 16 14 24 21 29 63.229 X y 82 70 68 84 83 91 b. Use the equation determined in part b to predict the expected value of y for x = 49. (Round your Intermediate calculations and final answers to 3 decimal places.)
An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold. A random survey of 15 Visa Gold cardholders resulted in a mean household income of $⁢68,420 with a standard deviation of $⁢9100. A random survey of 6 MasterCard Gold cardholders resulted in a mean household income of $⁢59,200 with a standard deviation of $⁢9200. Is there enough evidence to support the executive's claim? Let μ1 be the true mean household income for Visa Gold cardholders and μ2 be the true mean household income for MasterCard Gold cardholders. Use a significance level of α=0.05 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 1 of 4: State the null and alternative hypotheses for the test. Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places. Step 3 of 4: Determine the decision rule for rejecting the…
2. The sample mean is both an unbiased and consistent estimator of the population mean.In plain language, describe the meaning of these terms.3. Standard deviationa. Explicitly write out the formula for a sample standard deviation (you can useeither Word’s equation editor or hand write it and paste a screenshot of yourhandwritten formula).b. Using the following table, explicitly calculate the deviation from the mean for thetwo blank boxes where “DIFF from MEAN” = Cancer Death - MEAN.
1- A pharmacist has been monitoring sales of certain over-the-counter pain reliever. Daily sales during the last 15 days were as follows: Day 1 2 3 4 7 8 9 Number sold 36 38 42 44 48 49 50 49 52 Day 10 11 12 13 14 15 Number sold 48 52 55 54 56 57 a: By using linear regression method predict the future sales for the next 5 days (please do all calculations in excel and send the excel file with answers included as your response) b: calculate the MSE for the prediction of these 15 days. (again by using Excel) 1- Explain how QFD can be employed for designing a new restaurant in your region in Iraq? (at least 100 words) 2- A producer of inkjet printers is planning to add a new production line of printers, and you have been asked to balance the process, given the following task times and precedence relationships. Assume the cycle time is to be minimum possible (based on the bottleneck). Immediate Length (minutes) Task (Predecessor) a 0.2 b 0.4 a 0.3 d 1.3 b, c e 0.1 f 0.8 e g 0.3 d, f 1.2 g a…
Consider the following time series. t 1 2 3 4 5 yt 6 11 9 14 15 (a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data? (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = Slope, b1 = MSE = (c) What is the forecast for t = 6? If required, round your answer to one decimal place.

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