Numerade

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Question 13 Which of the following is not a characteristic of oppression? A Restrictive B Pervasive C Racism D Cumulative

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In this problem, you’ll find MLEs for the Gaussian simple linear regression model. Let Y i indep. ⇠ N 0 + 1 x i , 2 for i = 1, . . . , n, where x i are fixed ‘covariates’. Since the Y i ’s are independent and the density of Y i is f y i ; 0 , 1 , 2 = 1 p2⇡ 2 exp ⇢ 1 2 2 (y i 0 1 x i ) 2 the likelihood function is L 0 , 1 , 2 ; y i = nY i=1 f y i ; 0 , 1 , 2 = 2⇡ 2 n 2 exp ( 1 2 2 nX i=1 (y i 0 1 x i ) 2 ) (a) Write the log-likelihood ` 0 , 1 , 2 ; y i = log L 0 , 1 , 2 ; y i . (b) Find @ @ 0 ` 0 , 1 , 2 ; y i . (c) Find @ @ 1 ` 0 , 1 , 2 ; y i . (d) Find @ @ 2 ` 0 , 1 , 2 ; y i . (e) Solve the system of equations 8 >< >: @ @ 0 ` 0 , 1 , 2 ; y i = 0 @ @ 1 ` 0 , 1 , 2 ; y i = 0 @ @ 2 ` 0 , 1 , 2 ; y i = 0 for 0 , 1 , 2 to obtain 0 = ̄y 1 ̄x 1 = P n i=1 x i y i n ̄y ̄x P n i=1 (x i ̄x) 2 2 = 1 n nX i=1 (y i 0 1 x i ) 2 Comment: to verify that these solutions jointly specify a maximum, one must show that the matrix of second-order partial derivatives (known as the Hessian) is negative definite at the solutions. This is the multivariate analogue of the second derivative test. You are not expected to know how to do this. 8

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With 47 degrees of freedom, what values of t place 85% of the area in the middle of the distribution? (Use technology. Round your answers to two decimal places.) lower t value ? higher t value ?

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Beck’s cognitive triad involves negative views of: Group of answer choices work, rest, and play. the future, the world, and the self. None of these are correct. the past, the present, and the future. the self, the family of origin, and current family.

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what health policies did states adopt during covid-19 for kids to continue to attend schools

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Use the First Derivative Test to find the location of all local extrema for the function given below. Enter an exact answer. If there is more than one local maxima or local minima, write each value of x separated by a comma. If a local maxima or local minima does not occur on the function, enter Ø in the appropriate box. $$f(x) = -x^4 + \frac{20x^3}{3} + 1$$ Provide your answer below: • Local maxima occur at x = • Local minima occur at x =

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(i) Apply the Secant method to find an approximation $p_N$ of the solution of the equation \frac{x - \sin(x)}{1 - \cos x} = 0.79 in $[\frac{\pi}{2}, \pi]$ satisfying \text{RE}(p_N \approx p_{N-1}) < 10^{-6} by taking $p_0 = 2.6$ and $p_1 = 2.8$ as the initial approximations. (ii) Show your work by filling the following standard output table for the Secant method (if a particular row is not necessary, please type an asterisk * in each input field of that row): \begin{tabular}{|c|c|c|c|c|} \hline n & $p_{n-2}$ & $p_{n-1}$ & $p_n$ & RE($p_n \approx p_{n-1}$) \\ \hline 2 & & & & \\ \hline 3 & & & & \\ \hline 4 & & & & \\ \hline 5 & & & & \\ \hline 6 & & & & \\ \hline 7 & & & & \\ \hline 8 & & & & \\ \hline 9 & & & & \\ \hline \end{tabular} (iii) According to your results in (i) and (ii), $p_N = $ \\ Check

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A car purchased for $22, 000 depreciates at a constant rate of 13.5%. What will be the value of the car in 5 years. The value in 5 years is $ Round answer to 2 decimal places

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4. What are some ethical concerns regarding the use of single-case designs?

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[1] Design a non-inverting op amp amplifier with a gain of 10. Choose value of one resistor and calculate the rest. Draw the complete circuit diagram including power supply terminals and label all notations clearly.

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