Question

Year Poverty Mental Illness 2007 2012 2017 12.03 14.59 12.17 19.15 18.19 18.29

This is a table using the national percentages of Mental Illness and Poverty in the USA within the years 2007, 2012, and 2017
With poverty as the independent X value, and Mental illness as the dependent Y value

Explain whether the linear regression logical for interpolating?
Explain whether the linear regression is logical for extrapolating to the initial state?
Explain whether the linear regression is logical for extrapolating to the final state?

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Answer #1

Given that,

Data of Poverty is denoted by X which is an independent variable & data of Mental illness is denoted by Y.

X=(12.03,14.59,12.17)

Y=(19.15,18.19,18.29)

Let us draw a scatter diagram for X & Y in R. My R-code is as below:

x=c(12.03,14.59,12.17)
y=c(19.15,18.19,18.29)
plot(x,y, type="l",xlab="poverty",ylab="Mental illness",xlim=c(12,15),ylim=c(17,20))

Mental illness 17.0 17.5 18.0 18.5 19.0 19.5 20.0 8From the given plot, there is no linear regresssion logical for interpolating.

But there is linear regression is logical for extrapolating to the initial & final state.

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