Below You Are Given a Partial Computer Output Based on a Sample

question 9

Essay

Below you are given a partial computer output based on a sample of 12 observations relating the number of personal computers sold by a computer shop per month (Y), unit price (X₁ in $1,000) and the number of advertising spots (X₂) they used on a local television station.

a.At $\alpha$ = 0.05 level of significance, test to determine if the model is significant. That is, determine if there exists a significant relationship between the independent variables and the dependent variable.
b.Determine the multiple coefficient of determination.
c.Determine the adjusted multiple coefficient of determination.

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Definitions:

Independent Samples

Refers to two or more groups of data that are collected from distinct populations, where the observations in one group are not related to or influenced by the observations in the other group.

Test Statistic

A value calculated from sample data during a hypothesis test that is used to evaluate the strength of evidence against the null hypothesis.

Random Sample

A subset of individuals chosen from a larger set (population) where each individual has an equal chance of being selected.

Proportion

Represents a part or fraction of a whole, often expressed as a percentage or ratio.