QuestionThe 'pizza connection' is the principle that the price of a slice of pizza is always about the same as the subway fare. Use the pizza and subway cost data in the table below to determine whether there is a linear correlation between these two items. Construct a scatterplot, find the value of the linear correlation coefficient r , and find the P -value of r . Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that the subway fare is always about the same as a slice of pizza? Use a significance level of $\alpha=0.05$.
Click here for data on pizza costs and subway fares over the years.
Construct a scatterplot. Choose the correct graph below. A. B. C. D.
Determine the linear correlation coefficient. The linear correlation coefficient is $r=0.987$. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. $$\begin{array}{l} H_{0}: \rho=0 \\ H_{1}: \rho \neq 0 \end{array}$$ (Type integers or decimals. Do not round.) Pizza Cost and Subway Fares \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Year & 1960 & 1973 & 1986 & 1995 & 2002 & 2003 & 2009 & 2013 & 2015 & 2019 & 맘 \\ \hline Pizza Cost & 0.15 & 0.35 & 1.00 & 1.25 & 1.75 & 2.00 & 2.25 & 2.30 & 2.75 & 3.00 & \\ \hline Subway Fare & 0.15 & 0.30 & 0.95 & 1.40 & 1.50 & 2.05 & 2.25 & 2.50 & 2.75 & 2.70 & \\ \hline CPI & 29 & 43.9 & 109.7 & 152.1 & 180.0 & 184.0 & 214.5 & 233.0 & 237.0 & 252.2 & \\ \hline \end{tabular}