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. of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? a claim of linear correlation between the two variables. Use a significance level Bill (dollars) Tip (dollars) 32.09 48.22 86.98 102.71 66.52 112.46 6.08 5.24 16.05 12.31 7.27 14.62

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2BGP
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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 a = 0.01. If everyone were to tip with the same percentage, what should be the value of r?
Bill (dollars)
Tip (dollars)
32.09
48.22
86.98
102.71
66.52
112.46
6.08
5.24
16.05
12.31
7.27
14.62
Transcribed Image Text: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 a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 32.09 48.22 86.98 102.71 66.52 112.46 6.08 5.24 16.05 12.31 7.27 14.62
The linear correlation coefficient is r= .908 .
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho:p =
(Type integers or decimals. Do not round.)
The test statistic is t= 4.33.
(Round to two decimal places as needed.)
The P-value is .012.
(Round to three decimal places as needed.)
Because the P-value of the linear correlation coefficient is less than or equal to the significance level, there
is
sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts.
If
everyone were to tip with the same percentage, then r= 1.
(Round to three decimal places as needed.)
Transcribed Image Text:The linear correlation coefficient is r= .908 . (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho:p = (Type integers or decimals. Do not round.) The test statistic is t= 4.33. (Round to two decimal places as needed.) The P-value is .012. (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is less than or equal to the significance level, there is sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts. If everyone were to tip with the same percentage, then r= 1. (Round to three decimal places as needed.)
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