Simple Regression Sales Revenue Year Product Price (P) (millions of pesos) 1 1.20 0.95 1.50 0.93 3 2.00 0.92 4 3.50 0.90 4.10 0.87 5.60 0.85 Let Sales Revenue be (y) and Product Price be (x) Solve for the slope (b). The computed value should be expressed using 4 decimal p
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CHOICES OF ANSWERS:
A. 44.9032
B. 45.8520
C. -44.5327
D. 43.2112
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- You estimated a regression with the following output. Source | SS df MS Number of obs = 411 -------------+---------------------------------- F(1, 409) = 4098.54 Model | 22574040.7 1 22574040.7 Prob > F = 0.0000 Residual | 2252702.97 409 5507.83122 R-squared = 0.9093 -------------+---------------------------------- Adj R-squared = 0.9090 Total | 24826743.7 410 60553.0334 Root MSE = 74.215 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 6.727341 .1050822 64.02 0.000 6.520772 6.933909 _cons | -.7552724 9.26027 -0.08 0.935 -18.95894 17.44839…A regression of average weekly earnings (AWE, measured in dollars) on age(measured in years) using a random sample of college-educated full-timeworkers aged 25–65 yields the following: AWE = 696.7 + 9.6 X Age, R2 = 0.023, SER = 624.1.a. Explain what the coefficient values 696.7 and 9.6 mean.b. The standard error of the regression (SER) is 624.1. What are the unitsof measurement for the SER? (Dollars? Years? Or is SER unit-free?)c. The regression R2 is 0.023. What are the units of measurement for theR2? (Dollars? Years? Or is R2 unit-free?)d. What does the regression predict will be the earnings for a 25-year-oldworker? For a 45-year-old worker?e. Will the regression give reliable predictions for a 99-year-old worker?Why or why not?f. Given what you know about the distribution of earnings, do youthink it is plausible that the distribution of errors in the regressionis normal? (Hint: Do you think that the distribution is symmetric orskewed? What is the smallest value of earnings,…This is how I interpret the question units of slope: distance/time
- What is the lowest level of measurement for the data where the mode could bedetermined?A. NominalB. OrdinalC. IntervalD. Ratio Consider a data set of 11 distinct measurements with mean equal to A and median equalto B. If the highest value was decreased to a value smaller than the median B, how wouldthe mean and median be affected?A. The mean and median will both decrease.B. The mean and median will not change.C. The mean will not change and the median will decrease.D. The mean will decrease and the median will not change. What is one distinction between a parameter and a statistic?A. A parameter is only based on conceptual measurements, but a statistic is basedon a combination of real and conceptual measurements.B. A statistic changes every time you try to measure it (using different samples), but aparameter remains fixed.C. A parameter changes each time you try to measure it, but a statistic remains fixedacross samples.D. The true value of a statistic can never be known but the true…Test Design: Suppose I want to test the impact of soccer coaches on soccer teams. How would you test this? Include a few (3 or 4) independent variables to explain the dependent variable. Describe the data and write the regression equation.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?
- A wedding photographer made $500 on average in the 5 years it has been operational. Asample of 12 months were analyzed and it was found that he made an average of $620.i. Does the value $500 refer to the parameter or to the statistic? ii. Is the value $620 a parameter or a statistic? iii. State two advantages of using a sample statistic rather than a parameter.Econometrics: Given the following regressions: yt = 1.2yt-1 + Et and xt = 1.3xt-1 - 0.4xt-2 + Ct 1) Find he homogeneous equation and assess the implications of the roots.A multiple regression analysis produced the following output from Minitab.Regression Analysis: Y versus x and xPredictor Coef SE Coef T PConstant -0.0626 0.2034 -0.31 0.762x 1.1003 0.5441 2.02 0.058x -0.8960 0.5548 -1.61 0.124S = 0.179449 R-Sq = 89.0% R-Sq(adj) = 87.8%Analysis of VarianceSource DF SS MS F PRegression 2 4.7013 2.3506 73.00 0.000ResidualError18 0.5796 0.0322Total 20 5.2809These results indicate that____________
- DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 10. Write the resulting regression equation. Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard.Please show equations used.Solve the second graph! plsss