Determine the equation of the sinusoidal regression function for the data.X05202530120 138121140125y10122Oy= 16.5 sin (0.3x -0.1) + 123Oy= 17.1 sin (0.31x -0.05) + 122Oy = 17.6 sin (0.34x + 0.1) + 121Oy = 18 sin (0.25x + 0.05) + 12015105

Sinusoidal Regression Sinusoidal regression finds a trigonometric model that gives the curve of best…

Answered: Determine the equation of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please solve and maintain 4 decimal places.
A regression was run to determine if there is a relationship between hours of study per week (xx) and the final exam scores (yy).The results of the regression were: y=ax+b a=6.22 b=21.6 r2=0.477481 r=0.691 Use this to predict the final exam score of a student who studies 8 hours per week, and please round your answer to a whole number.
You estimated a regression with the following output. Source | SS df MS Number of obs = 248 -------------+---------------------------------- F(1, 246) > 99999.00 Model | 1.2864e+09 1 1.2864e+09 Prob > F = 0.0000 Residual | 980713.166 246 3986.63889 R-squared = 0.9992 -------------+---------------------------------- Adj R-squared = 0.9992 Total | 1.2874e+09 247 5212005.66 Root MSE = 63.14 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 38.34444 .0675026 568.04 0.000 38.21148 38.4774 _cons | 49.99803 5.986441 8.35 0.000 38.20681 61.78925…
Give the equation of the regression line: -913.2969+0.4808years(y) a) Plug an actual x value into the equation and discuss the difference between the real y and the predicted yb) Discuss the domain of your datac) Include the scatterplot with line of best fit
The number of visitors, y, at a National museum was recorded from January to August. A sinusoidal regression was performed to determine the equation for the curve of best fit. SinReg y = a* sin (bx +c)+d a =11900.187 b = 628.312 c = 2827.414 d = 20018.742 If January represents month 1, how many people should the museum expect to visit in November? (A) 18 934 (B) 4878 (C) 23 862 (D) 1219 O A Ов Ос O D
Use the scatterplot to determine the most likely regression equation. NORMAL FLOAT AUTO REAL RADIAN MP D = 4 + 2x None of these D = - 3x +5 It depends 1 D=5 -x 2
You estimated a regression with the following output. Source | SS df MS Number of obs = 494 -------------+---------------------------------- F(1, 492) = 38566.69 Model | 803403712 1 803403712 Prob > F = 0.0000 Residual | 10249120.6 492 20831.546 R-squared = 0.9874 -------------+---------------------------------- Adj R-squared = 0.9874 Total | 813652832 493 1650411.42 Root MSE = 144.33 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 23.00296 .1171325 196.38 0.000 22.77281 23.2331 _cons | 34.71944 13.12788 2.64 0.008 8.925808 60.51307…
A negative correlation means that decreases in the X variable tend to be accompanied by decreases in the Y variable. T or F
The estimated regression equation for a model involving two independent variables and 10 observations follows. ý = 22.1370 + 0.5303Xq + 0.4920X2 (a) Interpret b₁ in this estimated regression equation. O b₁ = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₁ = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant. O b₁ = 22.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. O b₁ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₂ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Interpret b₂ in this estimated regression equation. O b₂ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₂ = 22.1370 is an estimate of the change in y corresponding to a…
You estimated a regression with the following output. Source | SS df MS Number of obs = 208 -------------+---------------------------------- F(1, 206) > 99999.00 Model | 2.3001e+09 1 2.3001e+09 Prob > F = 0.0000 Residual | 4378568.43 206 21255.1865 R-squared = 0.9981 -------------+---------------------------------- Adj R-squared = 0.9981 Total | 2.3045e+09 207 11132679.3 Root MSE = 145.79 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 36.19925 .1100424 328.96 0.000 35.9823 36.41621 _cons | 12.65388 12.36197 1.02 0.307 -11.71832 37.02608…
If 0 is the angle between the two regression lines. Show that sin 0 < 1 - r? (r is the correlation coefficient )

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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