A Regression Model Involving 8 Independent Variables for a Sample $$\begin{array} { l } \mathrm { SSE } = 306 \\\mathrm { SST } = 1800\end{array}$$

question 61

Essay

A regression model involving 8 independent variables for a sample of 69 observations resulted in the following sum of squares. $$\begin{array} { l } \mathrm { SSE } = 306 \\\mathrm { SST } = 1800\end{array}$$ ​
a.
Compute the multiple coefficient of determination.
b.
At α = .05, test to determine whether or not the model is significant.

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Definitions:

Regression Parameters

Parameters in a statistical model that estimate the relationship between independent variables and a dependent variable.

Least Squares

A mathematical method used to find the best-fitting line or curve to a given set of data points by minimizing the sum of the squares of the differences between the observed and predicted values.

Sum Of Squares

The sum of the squared differences between each observation and the overall mean, used in various statistical methods.

Population Regression Line

The line that best describes the relationship between independent variable(s) and a dependent variable in the entire population.