Question
Can you find the equation of this trend line in slope-intercept form (y = mx + b) using the information provided?
Answers
GPT-4o mini
To find the equation of a trend line in slope-intercept form (\(y = mx + b\)), you typically need two key components: the slope (\(m\)) and the y-intercept (\(b\)).
If you have a set of data points, you can calculate the slope (\(m\)) using the formula:
\[
m = \frac{n(\sum xy) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}
\]
Where:
- \(n\) is the number of data points
- \(\sum xy\) is the sum of the product of each pair of \(x\) and \(y\)
- \(\sum x\) 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
Once you calculate the slope, you can find the y-intercept (\(b\)) using the formula:
\[
b = \frac{\sum y - m(\sum x)}{n}
\]
After calculating \(m\) and \(b\), you can insert those values into the slope-intercept form.
If you provide specific data points, I can help you compute the slope and y-intercept to find the trend line's equation in slope-intercept form.
If you have a set of data points, you can calculate the slope (\(m\)) using the formula:
\[
m = \frac{n(\sum xy) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}
\]
Where:
- \(n\) is the number of data points
- \(\sum xy\) is the sum of the product of each pair of \(x\) and \(y\)
- \(\sum x\) 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
Once you calculate the slope, you can find the y-intercept (\(b\)) using the formula:
\[
b = \frac{\sum y - m(\sum x)}{n}
\]
After calculating \(m\) and \(b\), you can insert those values into the slope-intercept form.
If you provide specific data points, I can help you compute the slope and y-intercept to find the trend line's equation in slope-intercept form.