Question

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

Weight	108

180

250

197

197

183

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, 110); (7.7, 180); (8.2, 185); (8.7, 195); (9.3, 195); (9.8, 250).

Your answer is correct.

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, 290); (7.7, 220); (8.2, 215); (8.7, 205); (9.3, 205); (9.8, 150).

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: (7.2, 250); (7.7, 195); (8.3, 195); (8.8, 185); (9.3, 180); (10, 110).

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: (7.2, 150); (7.7, 205); (8.3, 205); (8.8, 215); (9.3, 220); (10, 290).

The linear correlation coefficient r is

. 918

.

(Round to three decimal places as needed.)

The critical values are

requals

nothing.

please explain how to get the critical values

Answer 1

at Alpha =,0.05 L.O.S , sample size ( n ) = 6

from correlation  critical value table

critical values = 0.811

So   coefficient r = 0.918 does not lies between 0.811

so reject H0