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Show that the least squares line y=B, +B,x will always pass through the point (x,5). 5.

Show that the least squares line y=B, +B,x will always pass through the point (x,5). 5.

MATLAB: An Introduction with Applications
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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Question 5
You wish to test H.:µ = 10 versus Ha:µ# 10 using the data from a random sample of size n = 10. You calculate a test-statistic of – 1.28. Calculate the p-value. Is your test significant at the .05 level? What does this indicate? 5. Show that the least squares line y= B, + B,x will always pass through the point (x,J). 6. Given the data (1, 2), (3, 7), and (5,50): (a) Fit a straight line of the form to these values by the method of least squares. (b) Fit a parabola of the form to these values by the method of least squares. (c) Which model, the straight line or the parabola, has the smallest value for the sum of squares of the vertical distances, Q? (X1, X2,..., Xn) are independent and identically distributed random |X| variables with density function f ((x|0) = –e¯. Find the MLE of 0. 20 4. 7.
Transcribed Image Text:You wish to test H.:µ = 10 versus Ha:µ# 10 using the data from a random sample of size n = 10. You calculate a test-statistic of – 1.28. Calculate the p-value. Is your test significant at the .05 level? What does this indicate? 5. Show that the least squares line y= B, + B,x will always pass through the point (x,J). 6. Given the data (1, 2), (3, 7), and (5,50): (a) Fit a straight line of the form to these values by the method of least squares. (b) Fit a parabola of the form to these values by the method of least squares. (c) Which model, the straight line or the parabola, has the smallest value for the sum of squares of the vertical distances, Q? (X1, X2,..., Xn) are independent and identically distributed random |X| variables with density function f ((x|0) = –e¯. Find the MLE of 0. 20 4. 7.
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