ME435Lab3

Use graphical method to solve the following LPP: Maximise Z = x +4y Subject to the constraints: x + y < 1 2x + 2y 2 4 *2 0, y 2 0

An economic researcher has been asked to determine the relationship between a proposed local sales tax on beef and local tax revenues. He has estimated that the maximum tax revenue will occur at a tax rate of 6%, which will yield tax revenues of $5,000. Using the 3-point curved line drawing tool, show the approximate relationship between tax rates and tax revenues, as based on this research. Label the curve 'Laffer'. Carefully follow the instructions above, and only draw the required objects. Tax Revenues (thousands) 10₁ 9- 1- 0- 0 1 2 3 4 5 6 7 Sales Tax Rate (%) 8 9 10

We have estimated the impact of gross domestic product (GDP), energy consumption (ENERGY) and population (POP) on CO2 emiisions (CO2) in Cyprus. The results are as follows;Dependent Variable: CO2Method: Least SquaresDate: 04/20/17 Time: 09:46Sample: 1990 2013Included observations: 24 Write down the economic function for the above estimation by using the information obtained from above table b- Write down the economic model for the above estimation by using the information obtained from above table . c- Write down the econometric model for the above estimation by using the information obtained from above table d- Write down the least squares line by using the information obtained from above tablee- Explain what each coefficient of the least squares line indicates

Suppose the relationship between the government's tax revenue (T) and national income (Y) is represented by the equation T = 30 +0.5Y. Plot this relationship on a scale diagram, with Y on the horizontal axis and T on the vertical axis. Interpret the equation.   Use the line drawing tool to draw the equation. Make sure to plot the vertical axis as one endpoint of the line. Properly label this line.   Carefully follow the instructions above, and only draw the required objects.

Sediment buildup behind a dam can adversely affect a reservoir's storage capacity. Measurements of a reservoir in 1988 showed it had a capacity of 500,000 acre-feet of water. Measurements in 2018 showed that the reservoir's capacity has been decreasing at a rate of 2,000 acre-feet per year. Find a linear model of the number of acre-feet A of water in the reservoir n years after 1988.

Round off to 4 decimal places. The value for the slope parameter is?

Do not solve list all the variables objective function and contraints                                  ASW Publishing, Inc., a small publisher of college textbooks, must make a decision regarding which books to publish next year. The books under consideration are listed in the following table, along with the projected three­year sales expected from each book.     Book Subject Type of Book Projected Sales (000s)   Business calculus New 20   Finite mathematics Revision 30   General statistics New 15   Mathematical statistics New 10   Business statistics Revision 25   Finance New 18   Financial accounting New 25   Managerial accounting Revision 50   English literature New 20   German New 30   The books that are listed as revisions are texts that ASW already has under contract; these texts are being considered for publication as new editions. The books that are listed as new have been reviewed by the company, but contracts have not yet been signed.The company has three individuals who can…

The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) Which scatterplot below shows the data? O A. 40- 20+ 2000 5000 2855 3050 3810 3985 4250 2275 3525 33 32 27 24 22 39 28 Weight (lb) Q Q O B. 40 20+ 2000 AHH 5000 Weight (lb) Q Q Is there a linear relationship between weight and highway mileage? O A. No, there appears to be a relationship, but it is not linear. O B. Yes, as the weight increases the highway mileage decreases. O C. Yes, as the weight increases the highway mileage increases. OD. No there appears to be no relationshin C O C. Q 40- M Q 20++ 2000 5000 Weight (lb) Highway ( O D. Highway (mpg) 40- 20+ 2000 5000 Weight (lb) Q

D. MoviefliX, an online movie streaming service that offers a wide variety of award-winning TV shows, movies, animes, and documentaries would like to determine the mathematical trend of memberships in order to project future needs. Year 2013 2014 2015 2016 2017 2018 2019 2020 2021 Membership 17 16 16 21 20 20 23 25 24 (000s) (i) Use the following time series data, to develop a regression equation relating memberships to time. (ii) Forecast 2023 membership.

Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following graph indicates the relationship between income the survey subjects earned and the price of the car that they purchased. The variable shown on the vertical axis is __________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).   The units for the variable on the horizontal axis are _________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).   There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $50,000 last year and purchased a new car, you would expect that person to…

The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 Let f(t) be the number of polio cases in the world t years since 1980. Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linear or exponential model? Select an answer Find an equation of f. Hint f(t) = 350 138 33 4 3.2 1.3 The number of polio cases Select an answer Hint Round the coefficients to 2 digits. Predict the number of polio cases in 2017. years by Select an answer Predict in which year there will be 1 case of polio. Find the approximate half-life of the number of polio cases. Hint per year.

Year Quarter Revenue Q1 4.80 Q2 4.56 2015 Q3 4.88 Q4 4.91 Q1 5.37 Q2 4.99 2016 Q3 5.24 Q4 5.71 Q1 5.73 Q2 5.29 2017 Q3 5.66 Q4 5.70 Q1 6.07 Q2 6.03 2018 Q3 6.31 Q4 6.30 Q1 6.60 Q2 6.31 2019 Q3 6.82 Q4 6.75 Q1 7.10 Q2 6.00 2020 Q3 4.20 Q4 6.20

For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition, determine the measurement scale. a. Time, in hours, spent working per month b. Name of a household's cable television provider c. Number of online purchases made in a month d. Satisfaction rating of a cable television provider (from low to high) e. Time, in hours, spent surfing the Internet per month a. Time, in hours, spent working per month is what kind of variable? O A. This variable is a continuous numerical variable that is ratio-scaled. O B. This variable is a discrete numerical variable that is ratio-scaled. OC. This variable is a discrete numerical variable that is interval-scaled. O D. This variable is a categorical variable that is ordinal-scaled. O E. This variable is a categorical variable that is nominal-scaled. O F. This variable is a continuous numerical variable that is…

The following data relate the sales figures of restaurant, to the number of customers registered that week: Week   Customers   Sales (SR) First 16 330 Second 12  270 Third 18 380 Fourth 14 300   a) Perform a linear regression that relates bar sales to guests (not to time). b) If the forecast is for 20 guests next week, what are the sales expected to be?

A5

Question 4 - Type Your Answers in Space Provided (a) An accountant wishes to undertake a cost analysis of electricity consumption of office heating for various maximum daily temperatures. He recorded the data over a period of 8 random days, as shown below: 2 3 4 5 6 8 Temp(°C) Max Electricity Consumption 26 31 25 26 14 20 16 34 35 20 37 24 42 41 40 17 You may use the following Excel print-outs or summary statistics provided to answer the questions. SUMMARY OUTPUT SUMMARY STATISTICS Regression Statistics Multiple R R Square Adjusted R Square Standard Error n = 8. 0.895 24 0.801 32 0.768 s2x = 48.29 4.862 s?y = 101.71 %3! Observations 8 Sxy = -62.7143 Coefficient Standard Error t Stat P-value 6.575 Intercept temp(°C) 63.172 9.607 0.000 -1.299 0.264 -4.911 0.003 Find the least squares regression line to predict the electricity consumption from the maximum temperature.

The following table was generated from the sample data of 10 college students regarding the number of parking tickets the student receives in a semester, the student's age, and the student's GPA. The dependent variable is the student's GPA, the first independent variable (x1) is the number of parking tickets, and the second independent variable (x2) is the student's age. Coefficients Standard Error 1-Stat p-value Intercept Number of Parking Tickets Student's Age 15.034003 -0.026275 -0.638331 1.302739 11.540305 0.000025 0.030254 0.062922 -0.868470 0.418515 -10.144838 0.000053 Copy Data Step 2 of 2: Indicate if any of the independent variables could be eliminated at the 0.05 level of significance. Answer x1 x2 Keep all variables Tables Keypad Keyboard Shortcu

not use ai please

Your boss would like your help on a marketing research project she is conducting on the relationship between the price of soda and the quantity of soda demanded. She hands you the following document: Price of Soda Quantity of Soda Demanded (Dollars per can) (Billions of cans) 0.50 2,000 0.75 1,500 1.00 1,000 1.25 750 Your task is to take this and construct a graphical representation of the data. In doing so, you determine that as the price of soda rises, the quantity of soda demanded decreases. This confirms the

Consider the following data regarding students' college GPAs and high school GPAs. The estimated regression equation is GPA). Estimated College GPA = 2.56 + 0.1582 High School GPA GPAs College GPA High School GPA 3.96 4.42 2.81 3.91 3.53 4.21 3.27 2.76 3.58 4.95 2.07 4.24 Copy Data Step 2 of 3: Compute the mean square error (s2) for the model. Round your answer to four decimal places.

A researcher wants to study about the behaviours of postgraduate students in Australia in mobile phone usage.  One of the goals of the study is to analyse whether there is a relationship between the type of apps that the students use the most and the degree they are studying.   What is the most suitable graph to see the relationship described above? Why?

18B. PLEASE ANSWER B

Topic: Simple Regression

P'On the basis of quarterly sales (in $ lakhs) of a certain commodity for the years 2001-2003 Trend: the following calculations were made : y = 25-0 + 0-6t, with origin at 1st quarter of 2001, where t = time units (one quarter), and y= quarterly sales $ lakhs). Seasonal variations: Quarter 1st 2nd 3rd 4th Seasonal index 90 95 110 105 Estimate the quarterly sales for the year 2002 (use multiplicative model).

Evaluate the integral. (Use C for the constant of integration.)

As an auto insurance risk analyst, it is your job to research risk profiles for various types of drivers. One common area of concern for auto insurance companies is the risk involved when offering policies to younger, less experienced drivers. The U.S. Department of Transportation recently conducted a study in which it analyzed the relationship between 1) the number of fatal accidents per 1000 licenses, and 2) the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Your first step in the analysis is to construct a scatterplot of the data. FIGURE. SCATTERPLOT FOR U.S. DEPARTMENT OF TRANSPORATION PROBLEM U.S. Department of Transportation The Relationship Between Fatal Accident Frequency and Driver Age 4.5 3.5 3 2.5 1.5 1 0.5 6. 10 12 14 16 18 Percentage of drivers under age 21 Upon visual inspection, you determine that the variables do have a linear relationship. After a linear pattern has been established visually, you now proceed with performing linear…

Given the following summary statistics, determine the regression equation used to predict y from Ta Round all answers to 2 decimal places. slope - y-intercept Sy SI T 15 Y 1.02 1.6 -0.71 20.65 77-9 Use the exact value of slope when calculating the y-intercept.

6