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3 years ago

Why is a regression line referred to as the line of best fit?

Mathematics

1 answer:

aalyn [17]3 years ago

4 0

<h2>Answer with explanation:</h2>

When there is a linear relationship is observed between the variables, we use linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the regression line referred to as the line of best fit.

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vesna_86 [32]

Answer:

y = - $\frac{3}{4}$ x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2points on the line

m = $\frac{0-3}{4-0}$ = - $\frac{3}{4}$

Note the line crosses the y- axis at (0, 3 ) ⇒ c = 3

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