The regression results below show the relationship between GDP (Y) and private consumption (X) for Thailand from year 1993 to 2019. (n=27) Model 1: Ý, = 0.5695 + 0.1968X; se = (0.0551) (0.7591) R= 0.8671 Model 2: InY, = -0.3965 + 0.9120X; se = (0.8411) (0.7025) R = 0.9361
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Test whether the slope coefficient in both Model is statistically significant at 10% significance level.
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- 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.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 10The 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?
- 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 indicates5. The following estimated equation was obtained by OLS regression using quarterly data for 1978 to 1996 inclusive. Yt = 2.20+ 0.104Xt₁ - 3.48 Xt₂ + 0.34Xt3 (3.4) (0.005) (2.2) (0.15) Standard errors are in parentheses, the explained sum of squares was 109.6, and the residual sum of squares 18.48. a. Test at the 5% level for the statistical significance of the parameter estimates. b. Calculate the coefficient of determination.A random sample of data for 7 days of operation produced the following (price, quantity) data values:Price per Gallon of Paint, X Quantity Sold, Y 10 100 8 120 5 200 4 200 10 90 7 110 6 150a. Prepare a scatter plot of the data.b. Compute and interpret b1.c. Compute and interpret b0.d. How many gallons of paint would you expect to sell if the price is $7 per gallon?
- 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…26) Consider the following regression line: i= -7.29 + 1.93 x YearsEducation. You are told that the t-statistic on the slope coefficient was 24.125. What is the standard error of the slope coefficient? (assume 5% level of significance) A. -0.08 B. 0.30 C. 1.64 D. 0.08(10+05)The following data were collected on the height (inches) and weight (pounds) of women swimmers.Height6870646566 Weight132110106115128 a. Develop the estimated regression equation by computing the values of b0 and b1.
- 2. Following is the summary of Eviews output for a multiple linear regression model where Y = annual household expenses (RM thousand) X1 = annual income (RM thousand) X2 = annual wealth (RM thousand) X3 = saving interest rate (%) Dependent Variable: LOG(Y) Sample: 1970 2019 Included observations: 50 Variable с LOG(X1) LOG(X2) X3 Coefficient -4.67711 8.04873 2.01270 -0.02689 Std. Error 2.41907 3.79049 1.24934 0.01361 0.789533 Durbin-Watson stat Adjusted R-squared S.E. of regression Sum squared resid 0.011934 Heteroskedasticity Test White 0.007121 Prob. Chi-Square (6) (a) Explain the meaning of the partial slope coefficient for LOG(X1) and X3. 1.589219 10.16032 0.0708 (b) At 10% significance level, do annual income and annual wealth, individually affect the annual household expenses? (c) Calculate the coefficient of determination and explain its meaning.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.Martha’s Wonderful Cookie Company makes a specialsuper chocolate-chip peanut butter cookie. The companywould like the cookies to average approximately eightchocolate chips apiece. Too few or too many chips distortthe desired cookie taste. Twenty samples of five cookieseach during a week have been taken and the chocolatechips counted. The sample observations are as follows: Construct an -chart in conjunction with an R-chart using 3 limits for this data and comment on the cookie-production process. Samples Chips per Cookie1 7 69 852 7 7 8 8 103 5 57 684 4 59 97