Question
Asked Jan 16, 2020
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Tips Listed below are amounts of bills for dinner and the amounts of the tips that were left. The data were collected by students of the author. Is there sufficient evidence to conclude that there is a linear correlation between the bill amounts and the tip amounts? If everyone were to tip with the same percentage, what should be the value of r?

63.60
107.34
87.92
98.84
Bill (dollars)
50.68
33.46
Tip (dollars)
12.00
16.00
17.00
5.50
5.00
8.08
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63.60 107.34 87.92 98.84 Bill (dollars) 50.68 33.46 Tip (dollars) 12.00 16.00 17.00 5.50 5.00 8.08

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Expert Answer

Step 1

The data of bills for dinner and amounts of the tips that were left are shown below.
Let us consider bills be x and tips be y.

The correlation coefficient is calculated using the below mentioned formula

Statistics homework question answer, step 1, image 1
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Step 2

The summation of Bills(x) and Tips (y), summation of their squares ...

Statistics homework question answer, step 2, image 1
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