The consumption function captures one of the key relationships in economics.

It expresses consumption as a function of disposal income, where disposal income is income after taxes. The attached file $$Regression Dataset$$ shows data on average US annual consumption $($in $$)$ and disposable income $($in $$)$ for the years $2000$ to $2016.$

$1.$ Find the sample linear regression equation for the model

$2.$ In this model, the slope coefficient is the marginal propensity to consume. Interpret its meaning

$3.$ What is the predicted consumption if disposal income is $$33,000?$