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- A study is conducted to determine the relationship between a driver’s age and the number of accidents he or she has over a 1-year period. The data are presented in table below. c. Test the significance of the correlation coefficient at = 0.05. d. Is it significant to construct a regression equation?Bookstore sales revisited Recall the data we saw inChapter 6, Exercise 3 for a bookstore. The manager wantsto predict Sales from Number of Sales People Working. Number of SalesPeople Working Sales (in $1000)2 103 117 139 1410 1810 2012 2015 2216 2220 26 Dependent variable is SalesR-squared = 93.2,s = 1.477 Variable CoefficientIntercept 8.1006Num_Workers 0.9134 a) Write the regression equation. Define the variablesused in your equation.b) What does the slope mean in this context?c) What does the y-intercept mean in this context? Is itmeaningful?d) If 18 people are working, what Sales do you predict?e) If sales for the 18 people are actually $25,000, what isthe value of the residual?f) Have we overestimated or underestimated the sales?Regression using excel Conduct a multiple regression analysis for the following data. Use Assessed Value as the dependent variable and all others as independent variables. Which of the following independent variables are satistically significant? Use p < 0.05 FloorArea (Sq.Ft.) Offices Entrances Age AssessedValue ($'000) 4790 4 2 8 1796 4720 3 2 12 1544 5940 4 2 2 2094 5720 4 2 34 1968 3660 3 2 38 1567 5000 4 2 31 1878 2990 2 1 19 949 2610 2 1 48 910 5650 4 2 42 1774 3570 2 1 4 1187 2930 3 2 15 1113 1280 2 1 31 671 4880 3 2 42 1678 1620 1 2 35 710 1820 2 1 17 678 4530 2 2 5 1585 2570 2 1 13 842 4690 2 2 45 1539 1280 1 1 45 433 4100 3 1 27 1268 3530 2 2 41 1251 3660 2 2 33 1094 1110 1 2 50 638…
- MovieFlix - Advertising and Subscriptions Year Advertising Expenditure $ 000 Membership Subscriptions 2013 51 62 2014 58 68 2015 62 66 2016 65 66 2017 68 67 2018 76 72 2019 77 73 2020 78 72 2021 78 78 2022 84 73 2023 85 76 (i) Plot the scattergraph for the data. (ii) Use the data, to develop a regression equation relating advertising expenditure to membership. (iii) Estimate the membership if $40 000 is spent on advertising. (iv) How much must be spent on advertising to obtain a membership of 80 (000)? (v) What is the nature of the relationship between advertising expenditure and membership? (vi) Forecast 2024 membership using an alternative method, clearly explaining the…The median household incomes in South Carolina from 2013 and 2017 are listed in the table below. (Source: “South Carolina Household Income.” Department of Numbers, https://www.deptofnumbers.com/income/south-carolina/) Year 2013 2014 2015 2016 2017 Median Household Income $46,548 $46,887 $48,876 $50,566 $50,570 Determine the linear regression model, I(t), where t = years since 2013 and I = Median Household Income. A. I(t) = 1172.3t + 46548 B. I(t) = 1172.3t + 46345 C. I(t) = 1172.3t D. I(t) = 1172.3t - 2E+06Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (x) Cost(y) 677 81.47 542 74.62 390 55.9 792 104.12 387 49.57 279 39.69 71.14 474 563 71.93 880 108.8 A student calculates a linear model . (Please show your answers to two decimal places) Use the model to estimate the cost when number of pages is 977 Cost $ (Please show your answer to 2 decimal places.)
- Correlation and Regression Assignment A sample of 10 adult men gave the following data on their heights and weights. Height (inches) X 62 62 63 65 66 67 68 68 70 72 Weight (pounds) Y 120 140 130 150 142 130 135 175 149 168 Generate the scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data. State the equation of the regression line. Find r (correlation coefficient). Interpret the value of r in the context of this problem. Find the coefficient of determination, r2. Explain what it means in the context of this problem. Provide examples of other lurking variables that may have an effect on weight besides height. Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test. Predict the weight of a man whose height is 60 inches. (h) Find…Multivariate analysis a. is interested in a predictive variable which is a dependent variable, and an outcome which is an independent variable b. examines two variables to see if one is predictive of a certain outcome c. considers continuous and dichotomous variables d. includes linear regression and correlation coefficientPart C
