Perform a logarithmic transformation ( under data/transform data/log10) on the dependent variable. Develop an estimated regression equation using the transformed dependent variable (to decimals)

Respuesta :

The line of best fit before the transformation is y = 0.6366x + 2.3220 and after the transformation is y = 0.0411x + 0.5134

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have data as shown in the table.

Let's suppose the line of best fit is:

y = mx + c

Before the transformation, we can calculate the line of best fit.

m = 0.6366

c = 2.3220

y = 0.6366x + 2.3220

After transformation:

Line of best fit after transformation:

y = Mx + C

M = 0.0411

C = 0.5134

Line of best after transformation

[tex]\rm Transformation = \ log_1_0(y \ value)[/tex]

y = 0.0411x + 0.5134

Thus, the line of best fit before the transformation is y = 0.6366x + 2.3220 and after the transformation is y = 0.0411x + 0.5134

Learn more about the line of best fit here:

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