Is a linear model appropriate for the relationship between these two variables? Discuss the scatterplot, correlation coefficient and residual plot to answer this question.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Is a linear model appropriate for the relationship between these two variables? Discuss the scatterplot, correlation coefficient and residual plot to answer this question. 

Scatterplot
29.6-
29.4 -
29.2-
29
28.8-
28.6-
28.4-
28.2-
28-
27.8-
27.6-
27.4-
27.2-
27-
1950
1960
1970
1980
1990
2000
2010
year
1
0.8
0.6
0.4-
0.2-
-0.2-
-0.4-
-0.6-
-0.8
1950
1960
1970
1980
1990
2000
2010
year
y=93.7342-0.033x.
r=-0.843
r^2=0.71
winning time
Residual
Transcribed Image Text:Scatterplot 29.6- 29.4 - 29.2- 29 28.8- 28.6- 28.4- 28.2- 28- 27.8- 27.6- 27.4- 27.2- 27- 1950 1960 1970 1980 1990 2000 2010 year 1 0.8 0.6 0.4- 0.2- -0.2- -0.4- -0.6- -0.8 1950 1960 1970 1980 1990 2000 2010 year y=93.7342-0.033x. r=-0.843 r^2=0.71 winning time Residual
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