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In an R linear regression model output, you see this result for the p-value o...

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In an R linear regression model output, you see this result for the p-value of your independent variable (house_size):

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) 30.0000 5.0000 6.000 0.0082

house_size 0.1200 0.0030 40.000 0.0001 ***

What does the p-value of 0.0001 for house_size imply in the context of the model?

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