Question
In: Statistics and Probability
The data below gives the gold medal times for every other Summer Olympics for the women’s...
The data below gives the gold medal times for every other Summer Olympics for the women’s 100-meter freestyle (swimming). Can you predict the gold medal times by the year?
Year Time (seconds)
1968 60.0
1976 55.65
1984 55.92
1992 54.64
2000 53.8
2008 53.1
If you can make predictions, when the year is 1972, the gold medal time would be? Please answer with one decimal place. If you can’t make a prediction, put “none” in the answer box.
Solutions
Expert Solution
We use linear regression to predict the time given the year.
Hence dependent variable = time
independent variable = year
The detailed steps are given below.
Using the regression equation we find the time in 1972
Y=348.9613−0.1476X
X = 1972
Y=348.9613−0.1476(1972)= 57.8941
orchestra answered 2 years agoRelated Solutions
Table 12.22 gives the gold medal times for every other Summer Olympics for the women’s 100-meter...
Table 12.22 gives the gold medal times for every other Summer
Olympics for the women’s 100-meter freestyle (swimming).
Year
Time (seconds)
1912
82.2
1924
72.4
1932
66.8
1952
66.8
1960
61.2
1968
60.0
1976
55.65
1984
55.92
1992
54.64
2000
53.8
2008
53.1
Table 12.22
Estimate for the next Summer Olympics
2019. __________ Do you think this is a
good estimate? _____ (2 points)
Why or why not?
The following table gives the gold medal times for every other Summer Olympics for the women's...
The following table gives the gold medal times for every other
Summer Olympics for the women's 100 meter freestyle (swimming).
Year
Time (seconds)
1912
82.2
1924
72.4
1932
66.8
1952
66.8
1960
61.2
1968
60.0
1976
55.65
1984
55.92
1992
54.64
2000
53.8
2008
53.1
A- Calculate the least squares line. Put the equation in the
form of: ŷ = a + bx. (Round your answers to three decimal
places.)
ŷ = ____ + _____x
B- Find the correlation coefficient...
The following table gives the gold medal times for every other Summer Olympics for the women's...
The following table gives the gold medal times for every
other Summer Olympics for the women's 100 meter freestyle
(swimming).
Year
Time (seconds)
1912
82.2
1924
72.4
1932
66.8
1952
66.8
1960
61.2
1968
60.0
1976
55.65
1984
55.92
1992
54.64
2000
53.8
2008
53.1
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