Shown Below Is a Portion of a Computer Output for Regression

question 6

Essay

Shown below is a portion of a computer output for regression analysis relating Y (dependent variable) and X (independent variable).
a. What has been the sample size for the above?
b. Perform a t test and determine whether or not X and Y are related. Let $\alpha$ = 0.05.
c. Perform an F test and determine whether or not X and Y are related. Let $\alpha$ = 0.05.
d. Compute the coefficient of determination.
e. Interpret the meaning of the value of the coefficient of determination that you found in d. Be very specific.

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Definitions:

Point Estimate

A single value given as an estimate of a population parameter that is unknown.

Population Parameter

A numerical value that describes a characteristic of an entire population, such as the mean or standard deviation.

Point Estimate

A single value given as the best guess or estimate of a population parameter based on sample data.

Interval Estimate

An interval estimate is a range of values derived from sample statistics that is likely to contain the value of an unknown population parameter.