Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%? x y x2 y2 xy 2.3% 60 - 120 7.6% 0.1% 80
Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%? x y x2 y2 xy 2.3% 60 - 120 7.6% 0.1% 80
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the
x y x2 y2 xy
2.3% 60
- 120
7.6%
0.1% 80
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