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=0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 33.75 52.16 86.46 91.98 62.80 95.27 Tip (dollars) 4.16 4.74 7.99 15.64 11.53 9.20 The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.) The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is ▼ greater than or less than or equal to the significance level, there ▼ is or is not 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= (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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=0.05.

If everyone were to tip with the same percentage, what should be the value of r?

Bill (dollars)	33.75	52.16	86.46	91.98	62.80	95.27
Tip (dollars)	4.16	4.74	7.99	15.64	11.53	9.20

The linear correlation coefficient is

(Round to three decimal places as needed.)

Determine the null and alternative hypotheses.

(Type integers or decimals. Do not round.)

The test statistic is

(Round to two decimal places as needed.)

The P-value is

(Round to three decimal places as needed.)

Because the P-value of the linear correlation coefficient is

▼

greater than or less than or equal to

the significance level, there

▼

is or is not

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

(Round to three decimal places as needed.)

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