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2. Suppose you observe a correlation r = 0.5 between two variables in a sample of n = 14 subjects. Can you conclude that the two variables are correlated in the population? (Hint: perform a hypothesis test using a = 0.05).

2. Suppose you observe a correlation r = 0.5 between two variables in a sample of n = 14 subjects. Can you conclude that the two variables are correlated in the population? (Hint: perform a hypothesis test using a = 0.05).

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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and assume that steam usage and average temperature are jointly normally distributed. 1 (a) Find the correlation between steam usage and monthly average ambient temperature. (b) Test the hypothesis that p = 0 using a = 0.05. You can use R for the calculation of the summary statistics, but you should show your Taman 2. Suppose you observe a correlation r 0.5 between two variables in a sample of n 14 subjects. Can you conclude that the two variables are correlated in the population? (Hint: perform a hypothesis test using a = 0.05). 3. How large must a correlation r be in order to be significantly different from zero (at the 0.05 level) in a sample of size n = 100?, n = = 500?, n = 1000? Cemeter (Hint: A correlation r is significantly different from zero if |to| ≥ ta/2;n 2, where to If you square both sides and you solve for r², you get r² 1² 2.) In 4. Midterm1 F2021: Solve problems 1, 2, 3, 4, 5. 5. Bonus - 5 points: From Midterm1 F2021 solve problem 6. work. 17 6 TL
Transcribed Image Text:and assume that steam usage and average temperature are jointly normally distributed. 1 (a) Find the correlation between steam usage and monthly average ambient temperature. (b) Test the hypothesis that p = 0 using a = 0.05. You can use R for the calculation of the summary statistics, but you should show your Taman 2. Suppose you observe a correlation r 0.5 between two variables in a sample of n 14 subjects. Can you conclude that the two variables are correlated in the population? (Hint: perform a hypothesis test using a = 0.05). 3. How large must a correlation r be in order to be significantly different from zero (at the 0.05 level) in a sample of size n = 100?, n = = 500?, n = 1000? Cemeter (Hint: A correlation r is significantly different from zero if |to| ≥ ta/2;n 2, where to If you square both sides and you solve for r², you get r² 1² 2.) In 4. Midterm1 F2021: Solve problems 1, 2, 3, 4, 5. 5. Bonus - 5 points: From Midterm1 F2021 solve problem 6. work. 17 6 TL
Expert Solution
Step 1

For the considered sample of size14 (i.., n=14), the correlation coefficient at the sample level is given as r=0.5.

The objective is to validate if a significant linear relationship can be inferred between the two variables at the population level.

 

 

 

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