Use the AIDS data from the
practice for this section , but this time use the columns “year #” and “# new AIDS deaths in U.S.” Answer all of the questions from the practice again, using the new columns.
The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). (Source:
Microsoft Bookshelf )
Height (in feet)
Stories
1050
57
428
28
362
26
529
40
790
60
401
22
380
38
1454
110
1127
100
700
46
Using “stories” as the independent variable and “height” as the dependent variable, make a scatter plot of the data.
Does it appear from inspection that there is a relationship between the variables?
Calculate the least squares line. Put the equation in the form of:
Find the correlation coefficient.
Find the estimated heights for 32 stories and for 94 stories.
Use the two points in (e) to plot the least squares line on your graph from (b).
Based on the above data, is there a linear relationship between the number of stories in tall buildings and the height of the buildings?
Are there any outliers in the above data? If so, which point(s)?
What is the estimated height of a building with 6 stories? Does the least squares line give an accurate estimate of height? Explain why or why not.
Based on the least squares line, adding an extra story adds about how many feet to a building?
What is the slope of the least squares (best-fit) line? Interpret the slope.
Yes
0.9436
478.70 feet; 1207.73 feet
Yes
Yes;
172.98; No
11.7585 feet
slope = 11.7585. As the number of stories increases by one, the height of the building increases by 11.7585 feet.
Below is the life expectancy for an individual born in the United States in certain years. (Source:
National Center for Health Statistics )
Year of Birth
Life Expectancy
1930
59.7
1940
62.9
1950
70.2
1965
69.7
1973
71.4
1982
74.5
1987
75
1992
75.7
Decide which variable should be the independent variable and which should be the dependent variable.
Draw a scatter plot of the ordered pairs.
Calculate the least squares line. Put the equation in the form of:
Find the correlation coefficient.
Find the estimated life expectancy for an individual born in 1950 and for one born in 1982.
Why aren’t the answers to part (e) the values on the above chart that correspond to those years?
Use the two points in (e) to plot the least squares line on your graph from (b).
Based on the above data, is there a linear relationship between the year of birth and life expectancy?
Are there any outliers in the above data?
Using the least squares line, find the estimated life expectancy for an individual born in 1850. Does the least squares line give an accurate estimate for that year? Explain why or why not.
What is the slope of the least squares (best-fit) line? Interpret the slope.
The percent of female wage and salary workers who are paid hourly rates is given below for the years 1979 - 1992. (Source:
Bureau of Labor Statistics, U.S. Dept. of Labor )
Year
Percent of workers paid hourly rates
1979
61.2
1980
60.7
1981
61.3
1982
61.3
1983
61.8
1984
61.7
1985
61.8
1986
62.0
1987
62.7
1990
62.8
1992
62.9
Using “year” as the independent variable and “percent” as 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.
Find the estimated percents for 1991 and 1988.
Use the two points in (e) to plot the least squares line on your graph from (b).
Based on the above data, is there a linear relationship between the year and the percent of female wage and salary earners who are paid hourly rates?
Are there any outliers in the above data?
What is the estimated percent for the year 2050? Does the least squares line give an accurate estimate for that year? Explain why or why not?
What is the slope of the least squares (best-fit) line? Interpret the slope.
Yes
0.9448
62.9206; 62.4237
No
72.639; No
slope = 0.1656. As the year increases by one, the percent of workers paid hourly rates increases by 0.1565.
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?
