Answered: Listed below are amounts of bills for…

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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Question

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

α=0.05.

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

Bill (dollars)	33.25	50.89	88.90	103.74	62.59	106.83
Tip (dollars)	4.00	4.60	11.73	14.46	6.71	16.29

Construct a scatterplot. Choose the correct graph below.

30120025Bill Amount ($)Tip Amount ($)

A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve falling from left to right passing through the points (45, 16.2), (85, 6.8), and; (115, 4). All coordinates are approximate.

30120025Bill Amount ($)Tip Amount ($)

A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve falling from left to right passing through the points (35, 21), (65, 18.2), and (105, 8.8). All coordinates are approximate.

30120025Bill Amount ($)Tip Amount ($)

A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve rising from left to right passing through the points (45, 8.8), (85, 18.2), and; (115, 21). All coordinates are approximate.

30120025Bill Amount ($)Tip Amount ($)

A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve rising from left to right passing through the points (35, 4), (65, 6.8), and (105, 16.2). All coordinates are approximate.

The linear correlation coefficient is

r=nothing.

(Round to three decimal places as needed.)

Determine the null and alternative hypotheses.

H0:

▼

less than<

not equals≠

equals=

greater than>

nothing

H1:

▼

not equals≠

less than<

greater than>

equals=

nothing

(Type integers or decimals. Do not round.)

The test statistic is

t=nothing.

(Round to two decimal places as needed.)

The P-value is

nothing.

(Round to three decimal places as needed.)

Because the P-value of the linear correlation coefficient is

▼

greater than

less than or equal to

the significance level, there

▼

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=nothing.

(Round to three decimal places as needed.)

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