Question 3a,b,c,d,equestion 4a,b,c,d,e,f 3. The scatterplot shows the ages, a, of 10 army drillsergeants and the time, T, it took each to run 100meters, in seconds.a.b. How old was the drill sergeant whose hundred-meter time was 12.6 seconds?4.What was the hundred-meter time for the 25-year-old drill sergeant?e.10 20C.Draw a line of best fit.d. Choose two points on your line to find the equation of your line of best fit for T in terms of a.Distance to nearestneighbor (meters), d 20Probability ofpredators (%), pC.Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drillsergeant. Are these predictions reasonable?Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators findthe nest increase. The table shows the probability of a nestbeing found by predators and the distance to the nearestneighboring next. (Source: Perrins, 1979)Time (sec)4760 80 10034 32 17 1.5141210a. Plot the data and draw your line of best fit.b. Using two points on your line, find the equation of theline.Use the equation of your line estimate the probability ofpredators finding a nest if its nearest neighbor is 50meters away.50-454035-30-2520-1530 40 50 60Age (years)10-50 10 20 30 40 50d. If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?f. In plain English, write a sentence interpreting the slope of your line of best fit.60 70 80 90 100e. What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is youranswer reasonable?10

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3. The scatterplot shows the ages, a, of 10 army drill sergeants and the time, T, it took each to run 100 meters, in seconds. a. What was the hundred-meter time for the 25-year- old drill sergeant? b. How old was the drill sergeant whose hundred- meter time was 12.6 seconds? e. Time (sec) 14 12 10 10 20 30 40 50 60 Age (years) C. Draw a line of best fit. d. Choose two points on your line to find the equation of your line of best fit for T in terms of a. Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drill sergeant. Are these predictions reasonable?

3. The scatterplot shows the ages, a, of 10 army drill sergeants and the time, T, it took each to run 100 meters, in seconds. a. What was the hundred-meter time for the 25-year- old drill sergeant? b. How old was the drill sergeant whose hundred- meter time was 12.6 seconds? e. Time (sec) 14 12 10 10 20 30 40 50 60 Age (years) C. Draw a line of best fit. d. Choose two points on your line to find the equation of your line of best fit for T in terms of a. Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drill sergeant. Are these predictions reasonable?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Question 3a,b,c,d,e

question 4a,b,c,d,e,f

3. The scatterplot shows the ages, a, of 10 army drill
sergeants and the time, T, it took each to run 100
meters, in seconds.
a.
b. How old was the drill sergeant whose hundred-
meter time was 12.6 seconds?
4.
What was the hundred-meter time for the 25-year-
old drill sergeant?
e.
10 20
C.
Draw a line of best fit.
d. Choose two points on your line to find the equation of your line of best fit for T in terms of a.
Distance to nearest
neighbor (meters), d 20
Probability of
predators (%), p
C.
Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drill
sergeant. Are these predictions reasonable?
Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find
the nest increase. The table shows the probability of a nest
being found by predators and the distance to the nearest
neighboring next. (Source: Perrins, 1979)
Time (sec)
47
60 80 100
34 32 17 1.5
14
12
10
a. Plot the data and draw your line of best fit.
b. Using two points on your line, find the equation of the
line.
Use the equation of your line estimate the probability of
predators finding a nest if its nearest neighbor is 50
meters away.
50-
45
40
35-
30-
25
20-
15
30 40 50 60
Age (years)
10-
5
0 10 20 30 40 50
d. If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?
f. In plain English, write a sentence interpreting the slope of your line of best fit.
60 70 80 90 100
e. What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your
answer reasonable?
10

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Follow-up Question

Question 4A,b,c,d,e,f

4.
Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find
the nest increase. The table shows the probability of a nest
being found by predators and the distance to the nearest
neighboring next. (Source: Perrins, 1979)
Distance to nearest
neighbor (meters), d
Probability of
predators (%), p
20
C.
40 60 80 100
47 34 32 17 1.5
a. Plot the data and draw your line of best fit.
b. Using two points on your line, find the equation of the
line.
Use the equation of your line estimate the probability of
predators finding a nest if its nearest neighbor is 50
meters away.
50-
45-
40-
35
30-
25-
20-
15
10-
5
0 10 20 30 40 50 60 70 80 90 100
d. If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?
e. What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your
answer reasonable?
f.
In plain English, write a sentence interpreting the slope of your line of best fit.
10

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