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.

MATLAB: An Introduction with Applications
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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.
 
 
A.
 
 
 
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.
 
B.
 
 
 
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.
 
C.
 
 
 
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.
 
D.
 
 
 
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​:
ρ
 
less than<
not equals≠
equals=
greater than>
nothing
H1​:
ρ
 
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
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=nothing.
​(Round to three decimal places as​ needed.)
 
 

 

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