Listed below are the amounts of bills for dinner and the amounts of the tips that were left. 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. Use a significance level of α=0.01. If everyone were to tip with the same​ percentage, what should be the value of​ r?   Bill​ (dollars) 31.65 53.83 87.10 103.64 60.34 109.80   Tip​ (dollars) 3.74 5.76 14.73 16.86 7.44 20.73   1. The linear correlation coefficient is r=   2.  What are the null and alternative​ hypotheses?   3. The test statistic is t=

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Listed below are the amounts of bills for dinner and the amounts of the tips that were left. 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. Use a significance level of α=0.01. If everyone were to tip with the same​ percentage, what should be the value of​ r?
 
Bill​ (dollars)
31.65
53.83
87.10
103.64
60.34
109.80
 
Tip​ (dollars)
3.74
5.76
14.73
16.86
7.44
20.73
 
1. The linear correlation coefficient is
r=
 
2.  What are the null and alternative​ hypotheses?
 
3. The test statistic is
t=
 
4. The P-Value is
P= 
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