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 = 0.01. If everyone were to tip with the same percentage, what should be the value of r?

Bill (dollars) 31.62 52.20 90.36
99.42 60.70 100.52

Tip (dollars) 3.90 10.40
8.62 18.13 10.60 12.95

**Construct a scatterplot**

Answer #1

The amounts of 6 restaurant bills and the corresponding amounts
of the tips are given in the below.
bill
43.58
49.72
32.98
106.27
52.44
97.34
tip
5.5
5.28
4.5
16
7
16
a. The regression equation is y^=___+___x.
b. If the amount of the bill is $45, the best prediction for the
amount of the tip is
c. coefficient of correlation is r=
d. Test no correlation hypothesis using a 0.05 confidence level
:
Do we reject or accept null...

Listed below are amounts of court income and salaries paid to
the town justices. All amounts are in thousands of dollars.
Construct a scatterplot, find the value of the linear correlation
coefficient r, and find the P-value using
alpha
equals0.05
Is there sufficient evidence to conclude that there is a linear
correlation between court incomes and justice salaries? Based on
the results, does it appear that justices might profit by levying
larger fines?
Court_Income Justice_Salary
65.0 30
402.0 43
1568.0 ...

Listed below are amounts of court income and salaries paid to
the town justices. All amounts are in thousands of dollars.
Construct a scatterplot, find the value of the linear correlation
coefficient r, and find the P-value using alphaα=0.05. Is there
sufficient evidence to conclude that there is a linear correlation
between court incomes and justice salaries? Based on the results,
does it appear that justices might profit by levying larger
fines?
Court Income
65.0
406.0
1567.0
1132.0
272.0
253.0...

Listed below are the budgets (in millions of dollars) and the
gross receipts (in millions of dollars) for randomly selected
movies. Construct a scatterplot, find the value of the linear
correlation coefficient r, and find the P-value using
alphaαequals=0.05 Is there sufficient evidence to conclude that
there is a linear correlation between budgets and gross receipts?
Do the results change if the actual budgets listed are $64,000,
$85,000 $47,000 and so on?
Budget (x)
64
85
47
36
194
100...

Listed below are the budgets (in millions of dollars) and the
gross receipts (in millions of dollars) for randomly selected
movies. Construct a scatterplot, find the value of the linear
correlation coefficient r, and find the P-value using
alphaαequals=0.050.05.
Is there sufficient evidence to conclude that there is a linear
correlation between budgets and gross receipts? Do the results
change if the actual budgets listed are
$65 comma 000 comma 00065,000,000,
$86 comma 000 comma 00086,000,000,
$53 comma 000 comma...

Listed below are paired data consisting of amounts spent on
advertising (in millions of dollars) and the profits (in millions
of dollars). Determine if there is a significant negative linear
correlation between advertising cost and profit . Use a
significance level of 0.01 and round all values to 4 decimal
places.
Advertising Cost
Profit
3
14
4
14
5
25
6
22
7
27
8
18
9
33
10
26
11
36
12
22
Ho: ρ = 0
Ha: ρ...

9. Listed below are the overhead widths (in cm) of seals
measured from photographs and the weights (in kg) of the seals.
Construct a scatterplot, find the value of the linear correlation
coefficient r, and find the critical values of r using
alphaequals0.05. Is there sufficient evidence to conclude that
there is a linear correlation between overhead widths of seals from
photographs and the weights of the seals?
Overhead
Width
Weight
7.1
113
7.6
161
9.8
247
9.3
200
8.7 ...

Listed below are annual data for various years. The data are
weights (metric tons) of imported lemons and car crash fatality
rates per 100,000 population. Construct a scatterplot, find the
value of the linear correlation coefficient r, and find the
P-value using α=0.05 Is there sufficient evidence to conclude that
there is a linear correlation between lemon imports and crash
fatality rates? Do the results suggest that imported lemons cause
car fatalities?
Lemon Imports
228
266
357
483
534
Crash...

Listed below are amounts of court income and salaries paid to
the town justices. All amounts are in thousands of dollars.
Construct a scatterplot, find the value of the linear correlation
coefficient r, and find the P-value using alpha equals0.05 . Is
there sufficient evidence to conclude that there is a linear
correlation between court incomes and justice salaries? Based on
the results, does it appear that justices might profit by levying
larger fines? Court Income 64.0 405.0 1567.0 1132.0...

Listed below are amounts of court income and salaries paid to
the town justices for a certain town. All amounts are in thousands
of dollars. Find the (a) explained variation, (b) unexplained
variation, and (c) indicated prediction interval. There is
sufficient evidence to support a claim of a linear correlation, so
it is reasonable to use the regression equation when making
predictions. For the prediction interval, use a 99% confidence
level with a court income of $800,000.
Court_Income Justice_Salary
62...

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