Shown Below Is a Portion of a Computer Output for a Regression

question 35

Essay

Shown below is a portion of a computer output for a regression analysis relating Y demand) and X unit price).
ANOVA
$\begin{array}{lrr}&df&SS\\\text { Regression } & 1 & 5048.818 \\\text { Residual } & 46 & 3132.661 \\\text { Total } & 47 & 8181.479\end{array}$

$\begin{array}{lll}&\text { Coefficients }&\text { Standard Error }\\\text { Intercept } & 80.390 & 3.102 \\\mathrm{X} & -2137 & 0248\end{array}$
a. Perform a t test and determine whether or not demand and unit price are related. Let α = 0.05.
b. Perform an F test and determine whether or not demand and unit price are related. Let α = 0.05.
c. Compute the coefficient of determination and fully interpret its meaning. Be very specific.
d. Compute the coefficient of correlation and explain the relationship between demand and unit price.

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Definitions:

Seasonal Indexes

Quantitative measures that represent how a seasonal pattern affects the data over a specific period, often used in time series analysis to adjust predictions for seasonal effects.

Time Series

A continuous chain of data points, often resulting from measurements taken one after another within a certain timeframe.

Forecasting Models

Quantitative and qualitative techniques used to predict future events or data points based on historical trends and patterns.

Mean Absolute Deviation

A measure of dispersion in a dataset, calculated as the average distance between each data point and the mean of the data.