Below Is a Partial Multiple Regression Computer Output Based on a Quadratic

question 139

Multiple Choice

Below is a partial multiple regression computer output based on a quadratic regression model.
$$\begin{array} { l l l } \text { Source } & \text { SS } & \text { df } \\\text { Model } & 29.44 & 2 \\\text { Error } & 59.96 & 15 \\& & \text { Standard Error } \\\text { Variable } & \text { Coefficient } & \left( \mathrm { s } _ { \mathrm { b } } \right) \\\text { Intercept } & 8.01 & 1.45 \\\mathrm { X } & - 1.35 & 0.55 \\\mathrm { X } ^ { 2 } & 0.46 & 0.43\end{array}$$
-What is the value of the mean squared error?

• A)7.952
• B)3.997
• C)2.886
• D)6.554
• E)8.453

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Definitions:

Sample Means

The average value of a set of data points drawn from a larger population, representing an estimate of the population mean.

Analysis of Variance

Analysis of variance (ANOVA) is a statistical method used to compare the means of three or more samples to determine if at least one of the sample means is statistically significantly different from the others.

Population Variances

Population variances measure the variance of a given characteristic within an entire population, representing the dispersion of data points from the mean.

Multiple Comparison Methods

Statistical procedures used to determine if there are significant differences among group means in a dataset.