Statistics: Determining Regression Coefficients
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Please use data of the attached two tables to answer the following questions about Pb 9.24.
C) Find the regression coefficiet a and b.
K)iii. Construct the 99% confidence interval for ?.
I)iii. Construct the 99% confidence interval for ?.
(p) Compute the correlation coefficient r.
q)ii. Construct the 95% confidence interval for ?.
Data are on the two attached tables(9.19 and 9.20).
Problem 9.24:
The ejection fraction at maximal exercise was measured before, X, and after, Y , training.
X = 0.556, Y = 0.564, [x^2] = 0.30284, [y^2] = 0.46706, and [xy] = 0.2809.
Is there association (? = 0.05) between the two ejection fractions? If yes, do tasks (c), (k-iii), (l-iii), (p), and (q-ii) above.
Is there a change (? = 0.05) between the two ejection fractions?
If yes, find a 95% confidence interval for the average difference.
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See the attached file. Hope this will help. Thanks
Problem 9.24:
The ejection fraction at maximal exercise was measured before, X, and after, Y , training.
X = 0.556, Y = 0.564, [x^2] = 0.30284, [y^2] = 0.46706, and [xy] = 0.2809.
Is there association (a= 0.05) between the two ejection fractions?
X 0.556
Y 0.564
[x^2] 0.30284
[y^2] 0.46706
[xy] 0.2809
First we calculate the degree of linear relationship between the two ejection fractions.
Pearson product moment correlation coefficient
r= 0.746893677
Now test wehther the correlation coefficient is significantly different from zero.
We do the t -test for testing the hypothesis ρ = 0. The formula for calculating t-statistic is
No. of observations n= 19
= 4.631253036
Degrees of freedom 17
Significance Level 0.05
Critical ...
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