# Coefficient of Correlation, etc.

Use the data provided. (Also see attachment.)

a. Plot the data; determine the least-squares line for the data and overlay it on the plot.

b. Test the hypothesis (at ? = 0.05) that X contributes no information for predicting Y. What are your conclusions?

c. Find a 95% confidence interval for ?1.

d. Determine the coefficient of correlation.

e. Determine the coefficient of determination for the model from part a.

f. Find a 99% prediction interval for Y given X of 200.

g. Estimate the mean Y when X is 200. Use a 99% confidence interval.

https://brainmass.com/statistics/correlation/coefficient-correlation-etc-516534

#### Solution Preview

Use the data provided.

a. Plot the data; determine the least-squares line for the data and overlay it on the plot.

b. Test the hypothesis (at ? = 0.05) that X contributes no information for predicting Y. What are your conclusions?

SUMMARY OUTPUT

Regression Statistics

Multiple R 0.99666

R Square 0.993332

Adjusted R Square 0.993042

Standard Error 2.286472

Observations 25

ANOVA

df SS MS F Significance F

Regression 1 17911.98 17911.98 3426.193 1.56E-26

Residual 23 120.243 5.227955

Total 24 18032.23

Coefficients Standard Error t Stat P-value Lower 95% Upper ...

#### Solution Summary

The coefficient of correlation are determined.