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- If the annual rate of world oil consumption t years after 1970 is modeledby the equation R(t) = 16.1e^.07t (billions of barrels per year), how much total oil (net change) was used between 1976 and 1980?There has been coherent effort by various national agencies to educate and encourage reduction in energy consumption among Singapore household over the years. As part of your social science school project, you have chosen to research on whether such campaign has found success among households living in 1-room and 2-room HDB flats. You have downloaded the latest town gas consumption data for further analysis.Comment on the underlying pattern in the average quarterly household town gas consumptions over 2010 Q1 – 2021 Q2. Assume that today is 1st August 2021.10- What type of data does the data obtained by temperature measurements fall under?I. Interval dataII. Quantitative continuous dataIII. Proportional dataIV. Quantitative discrete data A) II B) I -II C) I - III - IV D) IV E) III - II
- Hello, please help me to solve the question (c) and (d) below.Consider this regression model (1) : Yt = β0 + β1 Ut + β2 Vt + β3 Wt + β4 Xt + εt ; where t= 1, ..., 75.We use OLS to estimate the parameters, producing the following model:Ŷt = 1.115 + 0.790 Ut − 0.327 Vt + 0.763 Wt + 0.456 Xt (0.405) (0.178) (0.088) (0.274) (0.017) Given that:R2 = 0.941; Durbin Watson stat DW = 1.907; RSS = 0.0757.(To answer the question, use the 5% level of significance, state clearly H0 and H1 that are tested, the test statistics that are used, and interpret the decisions.) (a) Describe the concepts of unbiasedness and efficiency. State the conditions required of regression (1) in order that the OLS estimators of the model parameters possess these properties. (b) Perform the following tests on the parameters of regression (1): (i) test whether the parameters β1, β2, β3 and β4 are individually statistically significant; (ii) test the overall significance of the regression model;…Why is base 10 logarithm (log) derived as a natural logarithm (1/x2)? Please confirm that derivate of logarithm of base 10 is in this case 1/[x2*log(10)] to modify your answer. Thank youSuppose 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.
- Suppose the relationship between the government's tax revenue (T) and national income (Y) is represented by the equation T=10+0.25Y. Plot this relationship on a scale diagram, with Y on the horizontal axis and T on the vertical axis. Interpret the equation.Given the regression equationY = 43 + 10Xa. What is the change in Y when X changes by +8?b. What is the change in Y when X changes by -6?c. What is the predicted value of Y when X = 11? d. What is the predicted value of Y when X = 29? e. Does this equation prove that a change in X causes a change in Y?In the December, 1969, American Economic Review (pp. 886-896), Nathanial Leff reports thefollowing least squares regression results for a cross section study of the effect of age composition onsavings in 74 countries in 1964:log S/Y = 7.3439 + 0.1596 log Y/N + 0.0254 log G - 1.3520 log D1 - 0.3990 log D2 (R2= 0.57)log S/N = 8.7851 + 1.1486 log Y/N + 0.0265 log G - 1.3438 log D1 - 0.3966 log D2 (R2= 0.96)where S/Y = domestic savings ratio, S/N = per capita savings, Y/N = per capita income, D1 = percentage ofthe population under 15, D2 = percentage of the population over 64, and G = growth rate of per capitaincome. Are these results correct? Explain..
- In the equation S = 130 – 2T, where S is hot chocolate sales and T is temperature, sales _____ if temperature increases by 10 degrees. A. increase by 20 B. decrease by 20 C. increase by 2 D. decrease by 2GOOD AFTERNOON, I JUST WOULD LIKE TO KNOW HOW YOU GOT 0 AND 81 ON QUESTION B, HOW DID YOU SOLVE THE EQUATION? THANK YOU FOR HELPINGIt is known that the ABC oil company supplies consumers with 150 tons of products per day. The company produces only two types of products - gasoline and diesel fuel. The limiting transformation ratio of diesel fuel relative to gasoline is 0.5. a) Draw a line of the company's monthly production capacity for gasoline and diesel. b) With the advent of new technologies, production increased by 20%, and the availability of gasoline increased by 30%. Explain how the company's new product line differs from the previous one. c) If we put the gasoline production on the X-axis of the graph, what percentage of the slope capacity of the production line is different from the slope ratio of the previous production line?