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X Y Approx Y2 y 2.7x+1.2 0 2 1.2 1 3 3.9 2 6 6.6 3 10 9.3: Chart Title

The document contains data and graphs about vehicle stopping distances at various speeds. It shows total stopping distance increases dramatically with speed, from around 50 feet at 20 mph to over 500 feet at 70 mph. A quadratic regression equation is fitted to the data, with an R-squared value very close to 1, indicating the equation is a good predictive model for stopping distance as a function of speed.

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46 views14 pages

X Y Approx Y2 y 2.7x+1.2 0 2 1.2 1 3 3.9 2 6 6.6 3 10 9.3: Chart Title

The document contains data and graphs about vehicle stopping distances at various speeds. It shows total stopping distance increases dramatically with speed, from around 50 feet at 20 mph to over 500 feet at 70 mph. A quadratic regression equation is fitted to the data, with an R-squared value very close to 1, indicating the equation is a good predictive model for stopping distance as a function of speed.

Uploaded by

api-242596953
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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X Y Approx Y2 y=2.7x+1.

2
0 2 1.2
1 3 3.9
2 6 6.6
3 10 9.3

Chart Title
12

10

0
0 0.5 1 1.5 2
Chart Title

1 1.5 2 2.5 3 3.5


X Y Projuect 3 Group 2
Year Rate Kris Carlile
1975 20.6 Spencer Crump
1980 22.5 Alyssa Walker
1985 18.4
1990 17.9
1995 15.9
2000 14.9
2005 14.7

a. Ax = b

1975 1 20.6
1980 1 22.5
1985 1 m = 18.4
1990 1 b 17.9
1995 1 15.9
2000 1 14.9
2005 1 14.7

b. At
1975 1980 1985 1990 1995 2000 2005
1 1 1 1 1 1 1

c. (At Ax = At b)
At Ax
1975 1980 1985 1990 1995 2000 2005 1975
1 1 1 1 1 1 1 1980
1985
d. 3900625 3920400 3940225 3960100 3980025 4000000 4020025 1990
1975 1980 1985 1990 1995 2000 2005 1995
2000
1975 1980 1985 1990 1995 2000 2005 2005
1 1 1 1 1 1 1
27721400
13930

At -1 0.001429
-2.842857
m = -0.252857
b 521.0286

f. e.
y = -0.25286x + 521.0286

12.78571 = -0.252857 2010 + 521.0286


Vehicle Crashes
1975 - 2005
25

20
Vehicle Crashes
1975 - 2005
25
1975 20.6
1980 22.5
1985 18.4 20
1990 17.9
1995 15.9 15
2000 14.9

Rate
2005 14.7
10
2010 12.78571

e. 5

0
1970 1975 1980 1985 1990 1995
Years

Vehicle Crashe
1975 - 2010
25

20

15

Rate
10

0
1970 1975 1980 1985 1990 1995
Years
At
1 1975 1980 1985 1990 1995 2000 2005
1 1 1 1 1 1 1 1
1
1 40685 44550 36524 35621 31720.5 29800 29473.5
1
1
1 20.6 22.5 18.4 17.9 15.9 14.9 14.7

13930
7

-2.842857
5657.429

Vehicle Crashes
1975 - 2005
Vehicle Crashes
1975 - 2005

1980 1985 1990 1995 2000 2005 2010


Years

Vehicle Crashe
1975 - 2010

1980 1985 1990 1995 2000 2005 2010 2015


Years
b
20.6
22.5
18.4
17.9
15.9
14.9
14.7

248374
124.9
Speed (mph) Reacction DBreaking DiTotal Stopping Distance (ft) y=1.301528(x^2)+(-0.01343x)+0.962791
20 22 25 47 y=a(x^2)+bx+c
30 40 43 83
40 48 97 145 722=1.301528(x^2)+(-0.01343x)+0.962791
50 55 188 243
60 66 300 366
70 74 455 529

At
400 900 1600 2500 3600 4900 Ax
22 40 48 55 66 74 400 22 25
25 43 97 188 300 455 900 40 43
1600 48 97
3*6 2500 55 188
3600 66 300
4900 74 455

6*3

160000 810000 2560000 6250000 12960000 24010000


8800 36000 2304 3025 4356 5476
10000 38700 155200 470000 1080000 2229500

8800 36000 76800 137500 237600 362600


484 1600 2304 3025 4356 5476
550 1720 4656 10340 19800 33670

10000 38700 155200 470000 1080000 2229500


550 1720 4656 10340 19800 33670
625 1849 9409 35344 90000 207025

2332261011 0.966754
2412466800

At 47
400 900 1600 2500 3600 4900 83
22 40 48 55 66 74 145
25 43 97 188 300 455 243
366
529
18800 74700 232000 607500 1317600 2592100
1034 3320 6960 13365 24156 39146
1175 3569 14065 45684 109800 240695
Projuect 3 Group 2
Kris Carlile
Spencer Crump
Alyssa Walker
Total Stopping Distance (ft)
600

500

400

300

200

100

0
10 20 30 40 50 60 70

46750000 59961 3983400


859300 17245 70736
3983400 70736 344252

8.281E-08 2.317E-05 -5.72E-06 4842700


-1.25E-06 2.008E-05 1.03E-05 87981
-7.02E-07 -0.000272 6.698E-05 414988

a 0.066191 -0.003574 + 1.277E-05 -


b 0.003574 -0.116176
c 0.438841
Distance (ft)

50 60 70 80

0.116188
X Y Projuect 3 Group 2
time/sec dist/feet Kris Carlile
4.56 10 Spencer Crump
6.57 20 Alyssa Walker
8.14 30
9.48 40 y = mx + b
10.65 50
11.85 60
12.46 70

a. Ax = b
4.56 1 10
6.57 1 20
8.14 1 30
9.48 1m = 40
10.65 1b 50
11.85 1 60
12.46 1 70

b. At
4.56 6.57 8.14 9.48 10.65 11.85 12.46
1 1 1 1 1 1 1

c. At Ax = At
4.56 6.57 8.14 9.48 10.65 11.85 12.46 4.56 1 4.56 6.57
1 1 1 1 1 1 1 6.57 1 1 1
8.14 1
d. 20.7936 43.1649 66.2596 89.8704 113.4225 140.4225 155.2516 9.48 1 45.6 131.4
4.56 6.57 8.14 9.48 10.65 11.85 12.46 10.65 1
11.85 1
4.56 6.57 8.14 9.48 10.65 11.85 12.46 12.46 1 10 20
1 1 1 1 1 1 1
629.1851 63.71
63.71 7
m = 7.453416 At -1 0.02027 -0.184489
b -27.83673 -0.184489 1.821974

e. ????

Golf Ball Distance


80
70
60
50
dist/feet

40
30
20
10
0
4 5 6 7 8 9 10 11 12 13
time/sec

f. 150 = 7.453416 x + -27.83673

177.8367 = 7.453416 x

23.85976 = x

g. X Y
time/sec dist/feet
4.56 10 Golf Ball Distance + 150ft/time
6.57 20
160
8.14 30
9.48 40 140
10.65 50 120
100
Dist/Feet

80
60
160
140
120
11.85 60 100

Dist/Feet
12.46 70 80
23.85976 150
60
40
20
0
0 5 10 15 20 25 30
Time/Sec
b
8.14 9.48 10.65 11.85 12.46 10
1 1 1 1 1 20
30
244.2 379.2 532.5 711 872.2 40
50
60
30 40 50 60 70 70

2916.1
280

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