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Suppose you have a sample of n points for two variables: (x1, y1), (x2, y2), ... (xn, yn). Without going into various statistical considerations (which are nonetheless important) you can estimate the slope of the 'best' line that can be used to estimate the values of y from the values of x using for formula given for beta-hat in the wikipedia article for simple linear regression.

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Q: When you compare two variables how does that turn into slope?
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Related questions

How does finding slope compare to finding the rate of change between two variables in a linear relationship?

The slope of a line is the same thing as the rate of change between two variables in a linear relationship.


What graph is used to compare two variables?

A line graph is used to compare two specific variables.


When a graph shows two variables are directly proportion the slope will be?

If the two variables are directly proportional, then the slope can be any number,but the y-intercept has to be zero ... the line must go through the origin.


A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?

A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.


What does the slope s-t graph indicates?

The slope of a line on a graph represents the rate of change between two variables. A steeper slope indicates a faster rate of change, while a shallower slope indicates a slower rate of change. The slope can provide information about the relationship between the variables being compared.


If two variables have a negative linear correlation is the slope of the least squares negative?

Negative


The two axes on a line graph allow the viewer to compare?

two different variables


What are the effect of slope?

The slope of a line represents the rate of change between two variables. A positive slope indicates a direct relationship, where one variable increases as the other increases. A negative slope indicates an inverse relationship, where one variable decreases as the other increases. The steeper the slope, the greater the rate of change between the variables.


Is 2x equals 7 in standard form or slope-intercept form?

Standard. You need a linear equation in two variables for slope-intercept form.


What type of graph is used to compare two specific variables?

line graph


How does the slope between two parallel lines compare?

The slope between two parallel lines is identical. This is because parallel lines have the same slope and will never intersect. The slope of a line is a measure of its steepness, and when two lines are parallel, they will have the same steepness, resulting in the same slope. Therefore, the slope between two parallel lines will always be equal.


How do you find the constant and slope for direct variation equations?

For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.