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
alphaαequals=0.010.01.
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 |
7.17.1 |
7.77.7 |
9.69.6 |
9.49.4 |
8.88.8 |
8.18.1 |
|
---|---|---|---|---|---|---|---|
Weight |
112112 |
197197 |
241241 |
205205 |
202202 |
179179 |
Click here to view a table of critical values for the correlation coefficient.
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Construct a scatterplot. Choose the correct graph below.
A.
710100300width (cm)weight (kg)
A scatterplot has a horizontal scale labeled “width in centimeters” from 7 to 10 in increments of 0.5 and a vertical scale labeled “weight in kilograms” from 100 to 300 in increments of 20. Six points are plotted with approximate coordinates as follows: (7.4, 160); (7.6, 195); (8.2, 200); (8.9, 220); (9.3, 205); (9.9, 290).
B.
710100300width (cm)weight (kg)
A scatterplot has a horizontal scale labeled “width in centimeters” from 7 to 10 in increments of 0.5 and a vertical scale labeled “weight in kilograms” from 100 to 300 in increments of 20. Six points are plotted with approximate coordinates as follows: (7.1, 290); (7.7, 205); (8.1, 220); (8.8, 200); (9.4, 195); (9.6, 160).
C.
710100300width (cm)weight (kg)
A scatterplot has a horizontal scale labeled “width in centimeters” from 7 to 10 in increments of 0.5 and a vertical scale labeled “weight in kilograms” from 100 to 300 in increments of 20. Six points are plotted with approximate coordinates as follows: (7.1, 110); (7.7, 195); (8.1, 180); (8.8, 200); (9.4, 205); (9.6, 240).
D.
710100300width (cm)weight (kg)
A scatterplot has a horizontal scale labeled “width in centimeters” from 7 to 10 in increments of 0.5 and a vertical scale labeled “weight in kilograms” from 100 to 300 in increments of 20. Six points are plotted with approximate coordinates as follows: (7.4, 240); (7.6, 205); (8.2, 200); (8.9, 180); (9.3, 195); (9.9, 110).The linear correlation coefficient r is
nothing.
(Round to three decimal places as needed.)
The critical values are
requals=nothing.
(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
▼
less
greater
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
alphaαequals=0.010.01.
Click to select your answer(s).
Overheard | Weight |
7.1 | 112 |
7.7 | 197 |
9.6 | 241 |
9.4 | 205 |
8.8 | 202 |
8.1 | 179 |
Scatterplot:
r = 0.86, critical values at alpha = 0.01, n = 6 , df = 6-2= 4, is 0.917
and -1 < r < 1 is the range of r.
Hence,
C.
A scatterplot has a horizontal scale labeled “width in centimeters” from 7 to 10 in increments of 0.5 and a vertical scale labeled “weight in kilograms” from 100 to 300 in increments of 20. Six points are plotted with approximate coordinates as follows: (7.1, 110); (7.7, 195); (8.1, 180); (8.8, 200); (9.4, 205); (9.6, 240).
For correlation , r = 0.86 and critical value = 0.917 at alpha = 0.01, we have,
The absolute value of the linear correlation coefficient is less than the positive critical value, there 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 alpha = 0.01.
Please rate my answer and comment for doubt.
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights...
partial credit, 10.1.23 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 alpha equals0.05 . 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 7.0 7.7 9.8 9.3 8.7 8.2...
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 alphaαequals=0.01 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: 7.2, 7.6, 9.7, 9.2, 8.8, 8.2 Weight: 117, 197, 242, 197,...
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 a=0.01. 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 72 7.8 9.7 9.4 8.7 8.3 Weight 117 205 241 201...
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 a = 0.05. 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 7.1 7.7 9.8 9.2 8.9 8.1 Weight 115 171...
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 a = 0.05. 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 7.1 7.6 9.7 9.2 8.8 8.2 2 Weight |...
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 α= 0.05, is there sufficient evidence to conclude that there is a linear correlation between overhea widths of seals from photographs and the weights of the seals? 8.2 114 168 24693 209 183 9.8 9.2 8.9 Overhead Width 7.1...
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