Data concerning sales at student-run cafe were retrieved from cafedata.xls more information about this data set available at cafedata.txt. Let's determine if there is a statistically significant relationship between the maximum daily temperature and coffee sales.
For this example, you can use the following Minitab file: cafedata.mpx
Maximum daily temperature and coffee sales are both quantitative variables. From the scatterplot below we can see that the relationship is linear.
\(H_0: \rho = 0\)
\(H_a: \rho \neq 0\)
Pairwise Pearson Correlations
|Sample 1||Sample 2||N||Correlation||95% CI for \(\rho\)||P-Value|
|Max Daily Temperature (F)||Coffees||47||-0.741||(-0.848, -0.577)||0.000|
\(p \leq \alpha\) therefore we reject the null hypothesis.
There is evidence of a relationship between the maximum daily temperature and coffee sales in the population.