For each of the following functions, indicate whether its graph is concave or convex:
Y = 7x2 + 3x + 9
Y = 6 ln(3x)
Y = exp(-4x)
You want to test the hypothesis that a population parameter β of a regression model is zero. Your alternative hypothesis is that β≠0. Denote by SD(β) the estimated standard deviation of β, and by MEAN(β) the estimated mean of β. Which test statistic is appropriate, and what is its distribution?
Newton-Raphson iteration is used to find a solution of x5 - x3 + x = 1. If xn = 2, what is xn+1?
Find the first-order Taylor approximation p(x) for the function: at the point .
Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?
I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 100%. The volatility of my portfolio is
What is the sum of the first 20 terms of this sequence: 3, 5, 9, 17, 33, 65,…?
TESTED 23 Feb 2025
