The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. 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. Should we expect that there would be a correlation? Use a significance level of
alphaαequals=0.050.05.
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Click the icon to view the ages of the award winners.
Construct a scatterplot. Choose the correct graph below.
A.
20702070Best Actress (years)Best Actor (years)
A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted with approximate coordinates as follows: (22, 56); (28, 44); (30, 40); (30, 54); (30, 36); (32, 48); (32, 48); (46, 44); (44, 58); (58, 34); (62, 44); (64, 38).Your answer is correct.
B.
20702070Best Actress (years)Best Actor (years)
A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted with approximate coordinates as follows: (68, 34); (62, 48); (60, 50); (60, 38); (60, 56); (58, 44); (58, 42); (44, 48); (46, 34); (32, 56); (28, 48); (26, 54).
C.
20702070Best Actress (years)Best Actor (years)
A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted with approximate coordinates as follows: (68, 56); (62, 44); (60, 40); (60, 54); (60, 36); (58, 48); (58, 48); (44, 44); (46, 58); (32, 34); (28, 44); (26, 38).
D.
20702070Best Actress (years)Best Actor (years)
A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted with approximate coordinates as follows: (22, 34); (28, 48); (30, 50); (30, 38); (30, 56); (32, 44); (32, 42); (46, 48); (44, 34); (58, 56); (62, 48); (64, 54).The linear correlation coefficient r is
nothing.
(Round to three decimal places as needed.)
Best Actress Best Actor
28 43
30 35
29 40
62 43
31 47
32 48
44 57
29 53
63 37
22 56
46 43
57 34
On X-axis Best Actress
On Y-axis Best Actor
A scatter plot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted with approximate coordinates as follows: (22, 56); (28, 44); (30, 40); (30, 54); (30, 36); (32, 48); (32, 48); (46, 44); (44, 58); (58, 34); (62, 44); (64, 38).
Option- (A)
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