An experiment is conducted to determine the relationship between the amount of a certain drug in the bloodstream and the length of time it takes to react to a stimulus. A random sample of 5 persons who took this drug is selected. The amount of drug in the bloodstream x and the reaction time y in selected persons showed that Amount of drugs x: 2 1 4 3 5 Reaction time y: 1 1 2 2 4 Σx=15 , Σx² = 55, Σy=10, Σy² = 26, Σxy = 37 (c) Find the equation of the regression line between y and x. (d) Use the equation in part (c) to predict y when x=3.5. (e) Test whether the slope of the population regression line is positive against the default that it is zero is Ho B₁ = 0 vs H, B₁ > 0. Use a=0.05.
An experiment is conducted to determine the relationship between the amount of a certain drug in the bloodstream and the length of time it takes to react to a stimulus. A random sample of 5 persons who took this drug is selected. The amount of drug in the bloodstream x and the reaction time y in selected persons showed that Amount of drugs x: 2 1 4 3 5 Reaction time y: 1 1 2 2 4 Σx=15 , Σx² = 55, Σy=10, Σy² = 26, Σxy = 37 (c) Find the equation of the regression line between y and x. (d) Use the equation in part (c) to predict y when x=3.5. (e) Test whether the slope of the population regression line is positive against the default that it is zero is Ho B₁ = 0 vs H, B₁ > 0. Use a=0.05.
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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An experiment is conducted to determine the relationship between the amount of a certain drug in the bloodstream and the length of time it takes to react to a stimulus. A random sample of 5 persons who took this drug is selected. The amount of drug in the bloodstream x and the reaction time y in selected persons showed that
Amount of drugs x: 2 1 4 3 5
Reaction time y: 1 1 2 2 4
Σx=15 , Σx² = 55, Σy=10, Σy² = 26, Σxy = 37
(c) Find the equation of the regression line between y and x.
(d) Use the equation in part (c) to predict y when x=3.5.
(e) Test whether the slope of the population regression line is positive against the default that it is zero is Ho B₁ = 0 vs H, B₁ > 0. Use a=0.05.
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