Researchers were interested in how much time balance (i.e., the degree to which you have enough time to do what you like) is related to happiness. They asked 12 adults to answer two questions (on 1 – 8 scales): (a) in a typical week, how much of your time are you able to spend doing the kinds of things that you enjoy (with higher scores indicating more time balance) and (b) taking all things together, how happy would you say you are (with higher scores indicating more happiness)? The research hypothesis is that there is an association between time balance and happiness. Use the Table of Descriptive statistics, correlation (r), the standard error of the correlation (SEr), and the r to zr Table, to go through the steps to compute the 95% CI. Report all values (excluding critical values) to TWO decimal places. Report critical values to THREE decimal places. Compute the following: Report all values to TWO decimal places. The Pearson Correlation = Answer Standard Error (SEr) = Answer tobs = Answer #1 Transform r to zr: In our Table, we find that r = Answer corresponds to zr = Answer #2 Compute the standard error of zr SEzr = Answer #3 Because this is the 95% confidence interval zCritical = ± Answer

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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Researchers were interested in how much time balance (i.e., the degree to which you have enough time to do what you like) is related to happiness. They asked 12 adults to answer two questions (on 1 – 8 scales): (a) in a typical week, how much of your time are you able to spend doing the kinds of things that you enjoy (with higher scores indicating more time balance) and (b) taking all things together, how happy would you say you are (with higher scores indicating more happiness)?

The research hypothesis is that there is an association between time balance and happiness.

Use the Table of Descriptive statistics, correlation (r), the standard error of the correlation (SEr), and the r to zr Table, to go through the steps to compute the 95% CI.

Report all values (excluding critical values) to TWO decimal places.
Report critical values to THREE decimal places.

Compute the following:

Report all values to TWO decimal places.

The Pearson Correlation = Answer

Standard Error (SEr) = Answer
tobs = Answer

#1 Transform r to z_r:

In our Table, we find that r = Answer

corresponds to z_r = Answer

#2 Compute the standard error of z_r

SEz_r = Answer

#3 Because this is the 95% confidence interval

z_Critical = ± Answer

#4 Compute the confidence interval around z_r

Answer ± Answer(Answer)= (Answer , Answer)

#5 Transform the confidence limits around zr to confidence limits around r

We find the z_r of Answer corresponds to r = Answer

Therefore, the 95% confidence interval around r = Answer is (Answer , Answer)

Use the data and the regression equation above to determine the SS_residuals

Report all values to TWO decimal places.

Ps	Time (X)	Happy (Y)	Y-predicted	Residual	Sq. Residual
1	2	2	Answer	Answer	Answer
2	2	4	Answer	Answer	Answer
3	4	3	Answer	Answer	Answer
4	5	6	Answer	Answer	Answer
5	7	5	Answer	Answer	Answer
6	8	6	Answer	Answer	Answer
7	1	1	Answer	Answer	Answer
8	1	3	Answer	Answer	Answer
9	3	2	Answer	Answer	Answer
10	4	5	Answer	Answer	Answer
11	6	4	Answer	Answer	Answer
12	5	7	Answer	Answer	Answer
		∑ = Answer	∑ = Answer	∑ = Answer	∑ = Answer