The following chart 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
Decide which variable should be the independent variable and which should be the dependent variable.
Make a scatter plot of the data.
Does it appear from inspection that there is a relationship between the variables? Why or why not?
Calculate the least squares line. Put the equation in the form of:
Find the correlation coefficient. Is the decrease in times significant?
Find the estimated gold medal time for 1932. Find the estimated time for 1984.
Why are the answers from (f) different from the chart values?
Use the two points in (f) to plot the least squares line on your graph from (b).
Does it appear that a line is the best way to fit the data? Why or why not?
Use the least squares line to estimate the gold medal time for the next Summer Olympics. Do you think that your answer is reasonable? Why or why not?
The next three questions use the following state information.
State
# letters in name
Year entered the Union
Rank for entering the Union
Area (square miles)
Alabama
7
1819
22
52,423
Colorado
1876
38
104,100
Hawaii
1959
50
10,932
Iowa
1846
29
56,276
Maryland
1788
7
12,407
Missouri
1821
24
69,709
New Jersey
1787
3
8,722
Ohio
1803
17
44,828
South Carolina
13
1788
8
32,008
Utah
1896
45
84,904
Wisconsin
1848
30
65,499
We are interested in whether or not the number of letters in a state name depends upon the year the state entered the Union.
Decide which variable should be the independent variable and which should be the dependent variable.
Make a scatter plot of the data.
Does it appear from inspection that there is a relationship between the variables? Why or why not?
Calculate the least squares line. Put the equation in the form of:
Find the correlation coefficient. What does it imply about the significance of the relationship?
Find the estimated number of letters (to the nearest integer) a state would have if it entered the Union in 1900. Find the estimated number of letters a state would have if it entered the Union in 1940.
Use the two points in (f) to plot the least squares line on your graph from (b).
Does it appear that a line is the best way to fit the data? Why or why not?
Use the least squares line to estimate the number of letters a new state that enters the Union this year would have. Can the least squares line be used to predict it? Why or why not?
No
-0.4280
6; 5
We are interested in whether there is a relationship between the ranking of a state and the area of the state.
Let rank be the independent variable and area be the dependent variable.
What do you think the scatter plot will look like? Make a scatter plot of the data.
Does it appear from inspection that there is a relationship between the variables? Why or why not?
Calculate the least squares line. Put the equation in the form of:
Find the correlation coefficient. What does it imply about the significance of the relationship?
Find the estimated areas for Alabama and for Colorado. Are they close to the actual areas?
Use the two points in (f) to plot the least squares line on your graph from (b).
Does it appear that a line is the best way to fit the data? Why or why not?
Are there any outliers?
Use the least squares line to estimate the area of a new state that enters the Union. Can the least squares line be used to predict it? Why or why not?
Delete “Hawaii” and substitute “Alaska” for it. Alaska is the fortieth state with an area of 656,424 square miles.
Calculate the new least squares line.
Find the estimated area for Alabama. Is it closer to the actual area with this new least squares line or with the previous one that included Hawaii? Why do you think that’s the case?
Do you think that, in general, newer states are larger than the original states?
Questions & Answers
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
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Source:
OpenStax, Collaborative statistics (custom lecture version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11543/1.1
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