Use a fiNite Sum to Estimate the Average Value of the Function

question 224

Multiple Choice

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.
- $f ( x ) = x ^ { 2 } - 7$ on $[ - 3,7 ]$ divided into 5 subintervals

• A) 12
• B) 5
• C) \(\frac { 53 } { 5 }\)
• D) 25

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Definitions:

Sums of Squares

A statistical technique used to describe the total variation or dispersion of a set of data points around their mean.

ANOVA Table

A table that summarizes the output and relevant statistical tests of an analysis of variance, which compares means among groups.

Variation

The degree of dispersion or spread in a set of values, indicating how much individual data points differ from the mean.

ANOVA Methods

Statistical techniques used to compare the means of three or more samples, investigating whether at least one sample mean differs from the others.