The Manufacturer of a Light Fixture Believes That the Dollars $\beta$

question 122

Essay

The manufacturer of a light fixture believes that the dollars spent on advertising,the price of the fixture,and the number of retail stores selling the fixture in a particular month,influence the light fixture sales.The manufacturer randomly selects 10 months and collects the following data: The sales are in thousands of units per month,the advertising is given in hundreds of dollars per month,and the price is the unit retail price for the particular month.Using MINITAB the following computer output is obtained.
The regression equation is
Sales = 31.0 + 0.820 Advertising - 0.325 Price + 1.84 Stores S = 5.465 R - Sq = 96.7% R - Sq(adj)= 95.0%
Analysis of Variance
Based on the multiple regression model given above,the point estimate of the monthly light fixture sales corresponding to second sample data is 49.82 or 49,820 units.This point estimate is calculated based on the assumption that the company spends $4000 on advertising,the price of the fixture is $60 and the fixture is being sold at 3 retail stores.Additional information related to this point estimate is given below.
The 95% confidence interval for $\beta$ ₁is from -0.4089 to 2.0493.Interpret the meaning of this interval.

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Definitions:

Trustworthiness

The ability to be relied on as honest or truthful.

Inoculation Theory

A psychological theory suggesting that exposure to weakened forms of an argument increases later resistance to that argument, similar to how exposure to a virus can create immunity.

Cognitive Dissonance

The psychological discomfort experienced when holding two or more conflicting beliefs, values, or attitudes simultaneously.

Inoculation Theory

A theory suggesting that exposure to a weakened form of an argument strengthens people's ability to refute stronger, future arguments.