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A company has recorded data on the daily demand for its product (y in thousands of units) and the unit price (x in hundreds of dollars). A sample of 11 days demand and associated price resulted in the following data.
a.Using the above information, develop the least-squares estimated regression line.
b.Compute the coefficient of determination.
c.Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let 0.05.
d.Perform a t test to determine whether the slope is significantly different from zero. Let 0.05.
e.Would the demand ever reach zero? If yes, at what price would the demand be zero. Show your complete work.
Homoscedasticity
The condition in which the variance of the residuals or errors in a regression analysis or statistical model is constant across all levels of the independent variable.
Heteroscedasticity
A condition in regression analysis where the variance of errors or the variability of the dependent variable differs across values of an independent variable.
Variance
A measure of the dispersion representing the average of the squared differences from the mean.
Observation
An act of noting and recording something, typically used in the context of data collection in scientific studies or research.
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