The Following Are Partial Results of a Regression Analysis Involving

question 59

Essay

The following are partial results of a regression analysis involving sales Y in millions of dollars), advertising expenditures X1 in thousands of dollars), and number of salespeople X2) for a corporation. The regression was performed on a sample of 10 observations.
$$\begin{array} { l c c } & \text { Coeffcient } & \text { Standard Error } \\\text { Constant } & 50.00 & 20.00 \\\mathbf { x } _ { 1 } & 3.60 & 1.20 \\\mathbf { x } _ { 7 } & 0.20 & 0.20\end{array}$$
a. At α = 0.05, test for the significance of the coefficient of advertising.
b. If the company uses $20,000 in advertisement and has 300 salespersons, what are the expected sales? Give your answer in dollars.)

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Definitions:

Endolymph

A fluid within the inner ear's membranous labyrinth, crucial for transmitting sound and balance signals to the brain.

Temporal Bone

A bone situated at the sides and base of the skull, contributing to the skull structure and housing the organs of hearing and balance.

Organ of Hearing

The ear, which is responsible for detecting sound waves and converting them into electrical signals that can be interpreted by the brain as sound.

Organ of Corti

A structure located on the basilar membrane inside the cochlea of the inner ear, containing hair cells that convert sound vibrations into neural signals.