MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
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.
The linear correlation coefficient is
r=nothing.
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
H0:
ρ
nothing
▼
less than<
not equals≠
equals=
greater than>
H1:
ρ
nothing
▼
not equals≠
less than<
greater than>
equals=
(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
the significance level, there
sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts.
▼
greater than
less than or equal to
▼
is not
is
If everyone were to tip with the same percentage, then
r=nothing.
(Round to three decimal places as needed.)
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