Question: John is a careless statistician. One day he met with his consulting client for a housing project. The dataset includes one numeric independent variable: housing age and a numeric response variable: housing price. John applied the simple linear regression on the dataset, and his client want to know the \(\mathrm{p}\) -value for the slope (i.e. the p-value for testing \(\beta_{\text {age }}=0\) vs. \(\beta_{\text {age }} \neq 0\) ). However, John forgot to bring the SAS output with him. What he only remembered is that there are 20 samples and \(R^{2}\) is $0.25 .$ Can you help John figure out what the \(p\) -value is? Show your work.

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