Question

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

8.7 197

8.3 187

The linear correlation coefficient r is _______

(Round to three decimal places as needed.)

The critical values are r = __________

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

Because the absolute value of the linear correlation coefficient is (greater/less) than the positive critical value, there (is/IS not) sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals for a significance level of α =0.05

Answer #1

listed below are the overhead widths (in cm) of seals measured
from photographs and the weights (in kg) of the seals. alfa= 0.05.
overhead width. 7.2 , 7.6 , 9.7 , 9.2 , 8.6 , 8.4 . weight. 119,
185, 246, 194, 194, 193. 1. determine the null and alternative
hypotheses. 2.find the value of linear correlation r. 3. find the
p-value of r. 4. find the test statistic. 5 conclusion (accept or
reject ho) please show how do in...

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 alphaequals0.05. 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_(x)
Crash_Fatality_Rate_(y)
231 15.9
264 15.7
358 ...

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 alpha = 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_(x) Crash_Fatality_Rate_(y)
230
15.8
266 ...

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...

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 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...

Use the given data set to complete parts (a) through (c)
below. (Use
alphaαequals=0.05.)
x
1010
88
1313
99
1111
1414
66
44
1212
77
55
y
7.457.45
6.786.78
12.7412.74
7.117.11
7.817.81
8.858.85
6.096.09
5.395.39
8.148.14
6.416.41
5.735.73
LOADING...
Click here to view a table of critical values for the
correlation coefficient.
b. Find the linear correlation coefficient, r, then determine
whether there is sufficient evidence to support the claim of a
linear correlation between the two variables.
The linear...

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...

Find the regression equation, letting overhead width be the
predictor (x) variable. Find the best predicted weight of a seal
if the overhead width measured from a photograph is 2 cm. Can the
prediction be correct? What is wrong with predicting the weight in
this case? Use a significance level of 0.05. Overhead Width (cm)
7.4 7.3 9.8 9.6 8.7 7.5 Weight (kg) 143 168 270 235 218 173
LOADING... Click the icon to view the critical values of the...

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 ...

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