Determine the equation of the sinusoidal regression function for the data. X 25 30 y 140 125 0 120 5 138 10 122 Oy=16.5 sin (0.3x -0.1) + 123 Oy= 17.1 sin (0.31x -0.05) + 122 Oy = 17.6 sin (0.34x + 0.1) + 121 Oy 18 sin (0.25x+0.05) + 120 15 105 20 121
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- The estimated regression equation for a model involving two independent variables and 10 observations follows. y^=31.5111+0.5611x1+0.3254x2 a. Interpret b1b and b2 in this estimated regression equation (to 4 decimals ) b1____ b2____ b. Estimate y when x1=180 and x2=310 ( to 3 decimals)The prelim grades (x) and midterm grades (y) of a sample of 10 MMW students is modeled by the regression line y = 12.0623 + 0.7771x. Estimate the prelim grade if the midterm grade is 83.The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 32.4394 + 0.5695x1 + 0.7347x2 a. Interpret b1 and b2 in this estimated regression equation (to 4 decimals). b. Estimate y when x1 = 180 and x2 = 310 (to 3 decimals).
- The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown below. Find the regression equation. y = 34.661 + 0.433x y = 0.777 + 12.0623x y = 12.0623 + 0.777x y = 34.661 - 0.433xThe number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y=47.271x+18,712.47. Issues, x Proceeds, y425 18,758468 29,602678 43,797478 31,661485 65,518396 65,33069 21,42764 11,847181 32,392157 27,561 Complete parts a and b. The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y=47.271x+18,712.47. Complete parts a and b. (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) (b) Find the standard error of estimate se and interpret the result. (Round to three decimal places as needed.)The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown in the excel worksheet. Find the regression equation
- For x={1 2 3 4 5} and y={2 1 4 3 6} use normal equation (c =(ATA)-1ATy) to find with: a-) linear regression coefficients, b-) the linear regression equation, c-) residel sum of squares(RSS)in the regression specification y =α+βx +δz +ε, the parameter α is calledA. Identify the regression analyses necessary for testing this initial model. B. What are the direct and indirect effects of z2 on z5?
- 3b. A linear regression yields R2 = 0. Does this imply that βˆ1 = 0?Use technology to find the quadratic regression curve through the given points.(Round all coefficients to four decimal places.) (1, 4), (3, 7), (4, 6), (5, 3) y(x) =a.Conduct an Augmented Dickey fuller test of unit roots for each variable. b. Estimate the following model using OLS and present the OLS estimates, making sure that you use stationary variables in your OLS regression. InYt = ßo + ß1lnl2 + ß2lnCt + ut... (1a) Where Yt, lt and Ct rare as defined above, ßo, ß1, ß2 are the parameters to be estimated and ut is the random error term. c.Test for autocorrelation.