Based on annual data from 2000-2010, the Gadget Company estimates that sales are growing according to a linear trend:                      Q = 50,000 + 200t             where t is time and t = 0 in 2000.        a.  Forecast sales for 2013.      b.  Do you see any problems with this forecasting method?

3. Rubax, a U.S. manufacturer of athletic shoes, estimates the following linear trend model for shoe sales: Qt = a+bt+c1D1+c2D2+c3D3Where, Qt = sales of athletic shoes in the t-th quartert = 1, 2, . . . . , 28 [2011(I), 2011(II), . . . . , 2017(IV)]D1 = 1 if t is quarter I (winter); 0 otherwiseD2 = 1 if t is quarter II (spring); 0 otherwiseD3 = 1 if t is quarter III (summer); 0 otherwiseThe regression analysis produces the following results: Is there sufficient statistical evidence of an upward trend in shoe sales? explain Do these data indicate a statistically significant seasonal pattern of sales for Rubax shoes? If so, what is the seasonal pattern exhibited by the data? Using the estimated forecast equation, forecast sales of Rubax shoes for 2018(III) and 2019(II).

Suppose that the world's current oil reserves is R = 2060 billion barrels. If, on average, the total reserves is decreasing by 15 billion barrels of oil each year, answer the following: A.) Give a linear equation for the total remaining oil reserves, R, in terms of t, the number of years since now. (Be sure to use the correct variable and Preview before you submit.) R= B.) 8 years from now, the total oil reserves will be billions of barrels. C.) If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted (all used up) approximately years from now. (Round your answer to two decimal places.)

Consider the following quarterly sales data (in units): Actual Actual Actual 2019 16 12 10 13 51 Based on years 2018-2020, what is the seasonal index for Q2? Q1 Q2 Q3 Q4 Total 2018 15 12 10 13 50 Show Transcribed Text .98 J Based on years 2018-2020, v 1.02 1.05 .95 Ĉ 2020 17 14 12 11 54

A coincident indicator will change before a recession begins. True or False And why

Exponential smoothing gives more weight to the _______________ observations and less to the _______________ observations.   Multiple Choice smaller, larger recent, older older, recent larger, smaller

A9.

T. Haavelmo devised a model of the US economy for the years 1929–1941 based on the followingequations:(i) c = 0.712y + 95.05 (ii) s = 0.158(c + x) − 34.30(iii) y = c + x − s (iv) x = 93.53Here x denotes total investment, y is disposable income, s is the total saving by firms, and c istotal consumption. Write the system of equations in the form (1) when the variables appear inthe order x, y, s, and c. Then find the solution of the system.

The following is a linear trend fitted to a series expressed in logs. = log(T) 3.9711 +0.038t where t is expressed in years. What is the annual growth rate of the trend in percentage? Round your answer to the nearest second decimal. The annual growth rate of the trend in percentage is

The accompanying table shows the average annual wage for a country, in thousands of dollars, for selected years from 1970 and projected to 2040. a. Find an exponential function that models these data, with x equal to the number of years after 1970 and y equal to the average annual wage in thousands of dollars. b. Graph the model and the data on the same axes. c. What does the model predict that the average annual wage will be in 2030? Is this interpolation or extrapolation? d. When does the model predict that the average annual wage will reach $230,000? a. The equation of an exponential function that models the data is y=. (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.) b. Graph the model on the same axis as the data. Choose the correct graph below. All graphs are shown in a [0,70,10] by [0,250,50] viewing window. OA. OB. c. According to the model, the average annual wage in 2030 will be $ thousand. (Round to one decimal place as…