1. A manufacturer of a popular digital camera wholesales the camera to retail outlets throughout the US. Usingstatistical methods, the financial department produced the price-demand data in Table 1 below, where C(x) is thecost in millions of dollars for manufacturing and selling x million cameras.Table 1 (Cost Data)x (millions)C(x) (million $)15812Using regression analysis, and analyst produced the following cost function to model the data in Table 1: C(x) =15619.7x 1

Let's solve the problems step-by-step. Given:Cost function: Revenue function: Tasks:Plot the data…

Answered: 1. A manufacturer of a popular digital…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An article in Technometrics by S. C. Narula and J. F. Wellington (Prediction. Linear Regression and a Minimum Sum of Relative Errors." Vol. 19. 1977) presents data on the selling price (y) and annual taxes (x) for 24 houses. The taxes include local, school and county taxes. The data are shown in the table below. Calculate the least square estimates of slope and intercept. Sale Price/1000 Taxes/1000 ... 25.9 4.9176 29.5 5.0208 27.9 4.5429 4.5573 5.0597 3.8910 25.9 29.9 29.9 30.9 28.9 35.9 5.0980 5.6039 5.8282 31.5 5.3003 31.0 6.2712 30.9 5.9592 30.0 5.0500 36.9 8.2464 41.9 6.6909 40.5 7.7841 43.9 9.0384 37.5 5.9894 37.9 7.5422 44.5 8.7951 37.9 6.0831 34.9 8.3607 8.1400 26.9 45.8 9.1416 Input answers up to 3 decimal places. Slope 3.324 Intercept 13.320 Blank 1 3.324 Blank 2 13.320
The below data represent the advertising expenditure and sales of Liu Liu Ltd from year 2010 to 2019. Table: Advertising Expenditure vs. Sales from 2010 to 2019 Year Advert. Expenditure Sales Growth rate of Ad. Expenditure Growth rate of Sales (x, £000) (y, £000) 2010 19 84 2011 22 108 18% 29% 2012 32 82 46% -24% 2013 42 86 32% 6% 2014 47 84 11% -3% 2015 46 94 -2% 11% 2016 58 103 27% 10% 2017 63 115 8% 12% 2018 70 106 11% -8% 2019 80 142 15% 34% Total 479 1004 a. What is the statistical relationship shown in the table and list out 3 characteristics of this relationship?
Situation: The Ipod Touch has been out for two years now and a lot of data has been collected.Relevant Relationship:There is a functional relationship between Price of an IPod Touch,� and Weekly Demand,�.Below is a table of data that have been collected Price,�,($) Weekly Demand,�,(1,000s) 150 207 170 199 190 198 210 185 230 181 250 169 A.. Find the linear model that best fits this data using regression and enter the model below(for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1)�=�(�)= B. The squared correlation coefficient �2 was 0.95(note: values less than 0.95 MAY mean the model is not appropriate for making predictions)Now answer these two questions using the UNROUNDED model parametersC. What does the model predict will be the weekly demand if the price of an ipod touch is $184 ? (nearest 100)D. According to the model at what should the price be set in order to have a weekly demand of 176,200 ipod Touches? $…
Situation: The Ipod Touch has been out for two years now and a lot of data has been collected.Relevant Relationship:There is a functional relationship between Price of an IPod Touch,p and Weekly Demand,s.Below is a table of data that have been collected Price,p ,($) Weekly Demand,s ,(1,000s) 150 209 170 205 190 200 210 192 230 177 250 175 A.. Find the linear model that best fits this data using regression and enter the model below(for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1)s=T(p)= C. What does the model predict will be the weekly demand if the price of an ipod touch is $172 ? (nearest 100) can you answer these two questions
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 $8.000.000 last year.
Situation: The Ipod Touch has been out for two years now and a lot of data has been collected.Relevant Relationship:There is a functional relationship between Price of an IPod Touch,� and Weekly Demand,�.Below is a table of data that have been collected Price,�,($) Weekly Demand,�,(1,000s) 150 217 170 206 190 191 210 185 230 182 250 170 A.. Find the linear model that best fits this data using regression and enter the model below(for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1)�=�(�)= B. The squared correlation coefficient �2 was 0.95(note: values less than 0.95 MAY mean the model is not appropriate for making predictions)Now answer these two questions using the UNROUNDED model parametersC. What does the model predict will be the weekly demand if the price of an ipod touch is $219 ? (nearest 100)D. According to the model at what should the price be set in order to have a weekly demand of 171,300 ipod Touches? $…
A biscuit production manager wants to investigate the linear relationship between the number of items produced and the production cost. To pursue his/her objective, the manager recorded the data on the number of items produced per day and the production cost per day (in thousands of Malaysian Ringgit) as shown in Table 3 Table 3 Days 1 2 4 6. 7 8 10 11 Number of items, (x) 26 67 86 17 10 44 53 40 77 80 20 20 Production cost, (y) 21 60 69 47 50 | 98 39 55 85 104 37 20 a) Name the TWo (2) most popular correlation coefficients. OPearson Oz-table OT-table Ochi-square Ospearman b) Calculate the correlation coefficient, r. ху x2 y2 26 21 676 44 60 2640 1936 3600 53 69 3657 2809 4761 47 1880 2209 77 50 3850 5929 2500 80 98 7840 6400 9604 20 39 780 400 1521 20 55 1100 400 3025 67 5695 4489 7225 86 104 8944 7396 10816 17 37 629 289 1369 10 20 200 100 400 E y² = Σχ ΣΥ- Σχy- Ex? = || || **Answer should be up to 4 decimal place (dp) r = c) Based on the correlation coefficient, robtained, make a…
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.
The registrar at State University believes that decreases in thenumber of freshman applications that have been experiencedare directly related to tuition increases. They have collectedthe following enrollment and tuition data for the past decade: a. Develop a linear regression model for these data andforecast the number of applications for State Universityif tuition increases to $10,000 per year and if tuition islowered to $7000 per year.b. Determine the strength of the linear relationship betweenfreshman applications and tuition using correlation. c. Describe the various planning decisions for State Univer-sity that would be affected by the forecast for freshman applications.

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