A) Calculate the standard errors of ˆα and βˆ.B) Use a t-test to test H0 : β = 0 versus H1 : β < 0 with significance level 5%. We are interested in using the pH of the lake water (which is easy to measure) to predict theaverage mercury level in fish from the lake, which is hard to measure. Let x be the pH of thelake water and Y be the average mercury level in fish from the lake. A sample of n = 10 lakesyielded the following data:Observation (i)13456810pH (x;)Average mercury level (y;) 0.158.28.47.07.27.36.49.15.87.68.10.040.400.500.270.810.040.830.050.19Suppose we fit the data with the following regression model:Y; = a + Bx;+ Ei, i =1,..., 10,where ɛi ~· N(0, o²)are independent. We have the following quantities: ī = E–1 Xi = 7.51,n Li=1vi=1i=1i=1Some R output that may help.> p1 <- c(0.01, 0.025, 0.05, 0.1, 0.9, 0.95, 0.975, 0.99)> qt (p1, 8)[1] -2.896 -2.306 -1.860 -1.3971.3971.8602.3062.896> qt (p1, 9)[1] -2.821 -2.262 -1.833 -1.3831.3831.8332.2622.821

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Answered: Calculate the standard errors of ˆα and…

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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