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

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?).

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