If1. If for>0 the energy of a pdf is E(x)=r, find the variance.(A) 1(B) 2(C) 1/2(D) Undefined(E) 0

Step 1:Find the variance, The energy of a pdf is E(x) =x and x> 0.Step 2:The variance is…

Answered: If 1. If for >0 the energy of a pdf is…

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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For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). x | 3 |6|1|0 |0 y 6 700- 4 a. Use the definition r= Exy - (Ex) (E») n E - (Ex)°/n] [Ev - (E»)*/n] b. Use the computing formula r= a. Using the definition, r= (Round to three decimal places as needed.) b. Using the computing formula, r= (Round to three decimal places as needed.) The value in part (a) is V the value in part (b).
We showed that in a simple linear regression, the MLE estimates for B, and Bo are the same as the OLS estimates. Show that the MLE estimate for o? is -EL(y - B - Bx;)*. (Hint: take derivative of the Li=1() n LL w.r.t o?).
Determine the equation of the normal line to f(x) = 9/x2 at x = 3
69 Q1. [6 points] :From the following data set 3\ 9. 1 6. 5. 4 11 16 1.find correlation coefficients 2. Estimate the simple linear regression model 3. Find the predicted value of y when x-10
The variance of temperatures (Fahrenheit) in Mobile, Ala. is 165.16. What is this variance if temp is re-expressed in Celsius? [Hint: Conversion between Fahrenheit and Celsius is a linear transformation: Fahrenheit = Celsius*1.80 + 32, or Celsius = Fahrenheit*(1/1.80) - (32/1.80)]
7 & 15.
Suppose f(x,y)=10x2y, 0<y<x<1, What is the Correlation of the variable X and Y?
5. Suppose the study conducted showing gender difference in salary of management graduates students Y=25.20 +8.25D + 1.25X t (32.85) (10.45) (15.11) Where Y is income in thousands Find, D is a dummy variable taking on the value of 1 if male 0 for female X = years of experience a. Mean salary of females assuming zero years of experience b. Mean salary of Males assuming three years of experience
For the data shown to the right, determine the linear.correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). 3 5 2| 1| 0 |-1-2 y a. Use the definition r= SySy Exy - (Ex)(E»)/n b. Use the computing formula r= a. Using the definition, r= (Round to three decimal places as needed.)
Example 3 : The tangent of the angle between two regression lines is 0.6 and if 1 =-0,, find the correlation coefficient between x and y. 2
Calculate correlation and probable error between physical parameters (temperature and humidity) Number of families(x)=2 Number of sites(n)= 1 Temperature(y) in autumn= 24.1 Humidity(y) in autumn= 35 20 1 19 Calculate correlation and probable error between physical parameters (temperature and humidity) Using the following formula coefficient of correlation (r). r = n([xy)-([x) (Ey) V[n(Ex 2)-(Ex) 2][n(Ey2)-([y) 2] I

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If 1. If for >0 the energy of a pdf is E(x)=r, find the variance. (A) 1 (B) 2 (C) 1/2 (D) Undefined (E) 0