Question
In: Statistics and Probability
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 |
d) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.)
ŷ =____+____x
e) Find the correlation coefficient r. (Round your answer to four decimal places.)
r = ______
f) Find the estimated gold medal time for 1924. (Use your equation from part (d). Round your answer to two decimal places.)
_____ sec
Find the estimated gold medal time for 1992. (Use your equation
from part (d). Round your answer to two decimal places.)
_____ sec
i) Use the least squares line to estimate the gold medal time for the 2012 Summer Olympics. (Use your equation from part (d). Round your answer to two decimal places.)
_____ sec
Solutions
Expert Solution
d) from above y^ =603.430+(-0.276)*x
e)
| correlation coefficient r= | Sxy/(√Sxx*Syy) = | -0.9512 | |
f)
for x=1924
| predicted value=603.43+1924*-0.276= | 72.41 | |
for x =1992
| predicted value=603.43+1992*-0.276= | 53.64 | |
i)
for x =2012:
| predicted val=603.43+2012*-0.276= | 48.12 | |
orchestra answered 2 years agoRelated Solutions
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...
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 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.
The table to the right shows the medal count for three countries following an international athletic...
The table to the right shows the medal count for three countries
following an international athletic event.
Complete parts a. through c. below.
Medal
Country
Gold
Silver
Bronze
A
8
14
13
B
9
13
8
C
14
8
5
a. Using
α=0.025,
perform a chi-square test to determine if the type of medal and
the country that earned it are independent of one another.
Identify the null and alternative hypotheses for a chi-square
test of independence based on the...
Expalin with every steaps and explanations The accompanying contingency table gives frequencies for a classification of...
Expalin with every steaps and explanations
The accompanying contingency table gives frequencies for a
classification of the equipment used in a manufacturing plant.
Equipment use Low Moderate High In working Order 10 18 12 Under
repair 2 6 8
a. Find the probability that a randomly selected piece of equipment
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b. Find the probability that a randomly selected piece of
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The following table gives the total weekly output of bicycles at Al’s Bicycle Town. Table 1...
The following table gives the total
weekly output of bicycles at Al’s Bicycle Town.
Table 1
Labor
Total Product (TP)
Average Product of Labor (AP)
Marginal Product of Labor (MP)
0
0
n/a
n/a
1
100
100
100
2
300
3
450
4
110
5
630
6
110
Complete this table.
Draw the graphs of the marginal product (MP) and the average
product (AP).
To learn how to plot the data in Excel,
see https://www.youtube.com/watch?v=B3U9tDcoNeI
Where do the AP and MP...
A teacher gives the following assignment to 200 students: Check the local newspaper every morning for...
A teacher gives the following assignment to 200 students: Check
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times the word “gun” is mentioned on the “local news” pages. At the
end of the week, the students report their totals. The mean result
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The following table gives information on the amount of sugar (in grams) and the calorie count...
The following table gives information on the amount of sugar (in
grams) and the calorie count in one serving of a sample of 13
varieties of Kellogg’s cereal. Calories is the dependent variable.
Calculate the r-sqr, correlation coefficient, and explain each
value.
Index
1
2
3
4
5
6
7
8
9
10
11
12
13
Sugar (grams)
4
15
12
11
8
6
7
2
7
14
20
3
13
Calories
120
200
140
110
120
80
190
100...
The following table gives information on the amount of sugar (in grams) and the calorie count...
The following table gives information on the amount of sugar (in
grams) and the calorie count in one serving of a sample of 13
varieties of Kellogg's cereal. Sugar (grams) 5 15 12 11 8 6 7 2 7
14 20 5 13 Calories 130 200 160 110 130 80 210 120 120 190 190 110
120 Find the predictive regression equation of the number of
calories on the amount of sugar. Carry out all calculations
exactly, and round the...
The following table gives information on the amount of sugar (in grams) and the calorie count...
The following table gives information on the amount of sugar (in
grams) and the calorie count in one serving of a sample of 13
varieties of Kellogg’s cereal. Calories is the dependent variable.
Calculate the r-sqr, correlation coefficient, and explain each
value.
Index 1 2 3 4 5 6 7 8 9 10 11 12 13
Sugar (grams) 4 15 12 11 8 6 7 2 7 14 20 3 13
Calories 120 200 140 110 120 80 190 100...
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