Question13. Tipping at a buffet Do customers who stay longer at buffets give larger tips? Charlotte, a statistics student who worked at an Asian buffet, decided to investigate this question for her second-semester project. While working as a hostess, she obtained a random sample of receipts, which included the length of time (in minutes) the party was in the restaurant and the amount of the tip (in dollars). Here is a scatterplot of these data. (a) Interpret the value . (b) Does increasing the amount of time spent in the restaurant cause an increase in the amount of the tip? Explain.
Studdy Solution
Determine if increasing time causes an increase in the tip:
Correlation does not imply causation. The positive correlation indicates an association between time spent and tip amount, but it does not prove that spending more time in the restaurant causes larger tips. Other factors not accounted for in the data could influence the tip amount.
The interpretation of is that there is a weak to moderate positive association, and increasing time does not necessarily cause an increase in the tip amount.
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