# Thirty Data Points

Problem 1: Thirty Data Points

1. Thirty data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is

DEPENDENT VARIABLE: Y R-SQUARE F-RATIO P-VALUE ON F

OBSERVATIONS: 30 0.3301 13.79 0.0009

VARIABLE PARAMETER STANDARD T-RATIO P-VALUE

ESTIMATE ERROR

INTERCEPT 93.54 46.210 2.02 0.0526

X -3.25 0.875 -3.71 0.0009

a. The equation of the sample regression line is Yˆ = _________________.

b. There are ______ degrees of freedom for the t-test. At the 1% level of significance, the critical t-value for the test is ______________.

c. At the 1% level of significance, aˆ __________ (is, is not) significant, and bˆ ________ (is, is not) significant.

d. At the 2% level of significance, the critical t-value for a t-test is ___________. At the 2% level of significance, ˆ a ____________ (is, is not) significant, and bˆ ____________ (is, is not) significant.

e. The p-value for bˆ indicates that the exact level of significance is ______ percent, which is the probability of _________________________________

f. At the 1% level of significance, the critical value of the F-statistic is __________. The model as a whole ______________(is, is not) significant at the 1% level.

g. If X equals 500, the fitted (or predicted) value of Y is __________________.

h. The percentage of the total variation in Y not explained by the regression is ______________ percent.

i. Explain why it is necessary to assess the statistical significance of the parameter estimates.

https://brainmass.com/statistics/students-t-test/thirty-data-points-449176

#### Solution Preview

Please see the attached file(s) for the complete tutorial. Thank you for the opportunity to be of assistance and of course, the opportunity to learn as well.

Anna, 108710

Problem 1: Thirty Data Points

1. Thirty data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is

DEPENDENT VARIABLE: Y R-SQUARE F-RATIO P-VALUE ON F

OBSERVATIONS: 30 ...

#### Solution Summary

The expert examines the thirty data points in Microsoft Excel.