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 .
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 .729
(Round to three decimal places as needed.)
Pizza Cost and Subway Fares
\begin{tabular}{|lcccccccccc|c|}
\hline Year & 1960 & 1973 & 1986 & 1995 & 2002 & 2003 & 2009 & 2013 & 2015 & 2019 & a \\
Pizza Cost & 0.15 & 0.35 & 1.00 & 1.25 & 1.75 & 2.00 & 2.25 & 2.30 & 2.75 & 3.00 \\
Subway Fare & 0.15 & 0.30 & 0.95 & 1.40 & 1.50 & 2.05 & 2.25 & 2.50 & 2.75 & 2.70 \\
CPI & 29 & 43.9 & 109.7 & 152.1 & 180.0 & 184.0 & 214.5 & 233.0 & 237.0 & 252.2 \\
\hline
\end{tabular}
Studdy Solution
Based on the P-value and the significance level, conclude whether the subway fare is always about the same as the price of a slice of pizza.
- If there is sufficient evidence, the claim is supported.
- If not, the claim is not supported.
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