ficient evidence to support a claim of linear correlation between the two variables. Use a significance level of alpha equals 0.05. If everyone were to tip with the same​ percentage, what should be the value of​ r?   a. Construct a scatterplot. b. The linear correlation coefficient is r equals ​(Round to three decimal places as​ needed.)   c. Determine the null and alternative hypotheses.   Upper H 0​: rho   less than greater than equals not equals Upper H 1​:rho     ​(Type integers or decimals. Do not​ round.)   d. The test statistic is t equals ​(Round to two decimal places as​ needed.)   e. The​ P-value is ​(Round to three decimal places as​ needed.)   f. If everyone were to tip with the same​ percentage, then  r equals

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Listed below are 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 alpha equals 0.05. If everyone were to tip with the same​ percentage, what should be the value of​ r?

 

a. Construct a scatterplot.

b. The linear correlation coefficient is r equals

​(Round to three decimal places as​ needed.)
 
c. Determine the null and alternative hypotheses.
 
Upper H 0​: rho
 
less than
greater than
equals
not equals

Upper H 1​:rho
 
 
​(Type integers or decimals. Do not​ round.)
 
d. The test statistic is
t equals
​(Round to two decimal places as​ needed.)
 
e. The​ P-value is
​(Round to three decimal places as​ needed.)
 
f. If everyone were to tip with the same​ percentage, then
 r equals
​(Round to three decimal places as​ needed.)
Bill (dollars)
Tip (dollars)
33.88
48.87
81.55
97.74
62.69
105.11
3.37
6.08
8.79
19.52
10.57
15.90
Transcribed Image Text:Bill (dollars) Tip (dollars) 33.88 48.87 81.55 97.74 62.69 105.11 3.37 6.08 8.79 19.52 10.57 15.90
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