Find the regression line associated with the set of points. (Round all coefficients to four decimal places.)
(3, 4), (6, 6), (9, 9)
y(x) = 


To find the equation of the regression line for the given set of points \((3, 4), (6, 6), (9, 9)\), we use the formula for the line of best fit, also called the least squares regression line:

\[
y = mx + b
\]

Where:
- \(m\) is the slope of the line.
- \(b\) is the y-intercept.

### Step 1: Calculate the slope \(m\)
The formula for the slope is:

\[
m = \frac{n(\sum xy) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}
\]

Where:
- \(n\) is the number of points,
- \(\sum xy\) is the sum of the products of the \(x\) and \(y\) values,
- \(\sum x\) is the sum of the \(x\) values,
- \(\sum y\) is the sum of the \(y\) values,
- \(\sum x^2\) is the sum of the squares of the \(x\) values.

From the points \((3, 4), (6, 6), (9, 9)\):
- \(n = 3\)
- \(\sum x = 3 + 6 + 9 = 18\)
- \(\sum y = 4 + 6 + 9 = 19\)
- \(\sum xy = (3)(4) + (6)(6) + (9)(9) = 12+36\

Find the regression line associated with the set of points. (Round all coefficients to four decimal places.) (3, 4), (6, 6), (9, 9)

Find the equation of the regression line for the points (3, 4), (6, 6), and (9, 9) using the least squares method. This example covers key statistical concepts and provides step-by-step calculations for slope and y-intercept. Suitable for high school students in Grades 10-12.

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