Which equation can compare with 3X plus 4Y equals eight to create a consistent and independent system

Mathematics

1 answer:

Scilla [17]4 years ago

3 0

Answer:

A consistent and independent system is any equation that only has one solution. So an another equation that can compare with this to create one solution is an equation that is perpendicular. The slope will be opposite and reciprocal.

This is the first equation in standard form: 3x + 4y = 8

Point-slope form is: y = -3/4x + 2

The second equation in standard form: y = 4/3x + 2

Point-slope form is: -4x + 3y = 6

As you can see, the slopes are opposite and reciprocal, which creates two perpendicular lines when graphed. You can graph these two lines, and see that they have one solution.

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In your own words, how do you create a residual plot that shows whether a linear model is an appropriate fit for the data?

tresset_1 [31]

Step-by-step explanation:

We need to understand what residual plot is?

A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis.

Hence, there are 2 cases related to the relation between residual plot and a linear model:

1. If the points in a residual plot are randomly dispersed around the horizontal axis => the linear model is an appropriate fit for the data

2. If the points in a residual plot has a pattern => nonlinear model is more appropriate or the line have a bad fit with the set of the data.

Hope it will find you well.

8 0

3 years ago