Project 1 Spreadsheet
xls
School
Brigham Young University, Idaho *
*We aren’t endorsed by this school
Course
110X
Subject
Statistics
Date
Apr 3, 2024
Type
xls
Pages
4
Uploaded by MasterProtonLobster28
1st Diff
2nd Diff
3rd Diff
0
200
10 186.6065983
-1.33934
20 174.1101127
-1.24965 0.0089691604
30 162.4504793
-1.16596 0.0083685226
-6.006378434E-05
40 151.5716567
-1.08788 0.0078081077
-5.604149239E-05
50 141.4213562
-1.01503 0.0072852221
-5.228856129E-05
60 131.9507911
-0.94706 0.0067973525
-4.878695277E-05
70 123.1144413
-0.88363 0.0063421542
-4.551983649E-05
80 114.8698355
-0.82446 0.0059174391
-4.247150921E-05
90 107.1773463
-0.76925 0.0055211659
-3.96273193E-05
100
100
-0.71773 0.0051514299
-3.697359627E-05
110 93.30329915
-0.66967 0.0048064541
-3.449758513E-05
120 87.05505633
-0.62482 0.0044845802
-3.218738506E-05
130 81.22523964
-0.58298 0.0041842613
-3.003189217E-05
140 75.78582833
-0.54394 0.0039040538
-2.802074619E-05
150 70.71067812
-0.50752
0.003642611
-2.614428065E-05
160 79.91067812
0.92 0.1427515021 0.01391088910363
170 89.11067812
0.92
0 -0.0142751502069
in
180 98.31067812
0.92
0
0
190 107.5106781
0.92
0
0
200 116.7106781
0.92
0
0
210 125.9106781
0.92
0
0
220 135.1106781
0.92
0
0
230 144.3106781
0.92
0
0
240 153.5106781
0.92
0
0
250 162.7106781
0.92
0
0
260 171.9106781
0.92
0
0
270 181.1106781
0.92
0
0
280 190.3106781
0.92
0
0
290 199.5106781
0.92
0
0
300 208.7106781
0.92
0
0
310 217.9106781
0.92
0
0
320 227.1106781
0.92
0
0
330 236.3106781
0.92
0
0
340 245.5106781
0.92
0
0
350 254.7106781
0.92
0
0
360 263.9106781
0.92
0
0
370 273.1106781
0.92
0
0
380 282.3106781
0.92
0
0
390 291.5106781
0.92
0
0
400
300
0.848932
-0.007106781
-0.0007106781187
Piece 1: This fun
Distance
from the
sprinkler
in centimeters
Amount
of water
in 1 hour
in cubic
centimeters
1. Identify the indep
2.
Graph the data o
You cannot describe
and they a
3. Careful analysis of this data set is best in
differences, and th
these patterns to ide
A: State the name an
represents each fun
1st Piece: This functi
2nd Piece: This functi
3rd Piece: This functio
B. Explain (in detail) do n
0
10
0
50
100
150
200
250
300
350
A mount of water in 1 hour (cm3
1st p
Beg
End
410
297.25
-0.275
-0.112393219
-0.0105286437627
Piece 2: Th
420
294
-0.325
-0.005 0.01073932188135
430
290.25
-0.375
-0.005
0
440
286
-0.425
-0.005
0
450
281.25
-0.475
-0.005
0
460
276
-0.525
-0.005
0
470
270.25
-0.575
-0.005
0
480
264
-0.625
-0.005
0
490
257.25
-0.675
-0.005
0
500
250
-0.725
-0.005
0
510
242.25
-0.775
-0.005
0
520
234
-0.825
-0.005
0
530
225.25
-0.875
-0.005
0
540
216
-0.925
-0.005
0
550
206.25
-0.975
-0.005
0
560
196
-1.025
-0.005
0
570
185.25
-1.075
-0.005
0
580
174
-1.125
-0.005
0
590
162.25
-1.175
-0.005
0
600
150
-1.225
-0.005
0
It is no
610
137.25
-1.275
-0.005 2.2551405188E-18
620
124
-1.325
-0.005
-2.255140519E-18
630
110.25
-1.375
-0.005
0
640
96
-1.425
-0.005
0
650
81.25
-1.475
-0.005
0
660
66
-1.525
-0.005 2.2551405188E-18
670
50.25
-1.575
-0.005
-2.255140519E-18
680
34
-1.625
-0.005
0
690
17.25
-1.675
-0.005
0
700
0
-1.725
-0.005
0
Piece 3: This func
C.
D. Give
4. On the graph o
5. If there are any line
equatio
6. Is this piece-wise fu
7. Is this piece-wise f
This function seems t
ndependent variable = distance from the sprinkler (cm)
nction is exponential but we haven't learned about this one in class yet.
pendent and dependent variables in this situation with appropriate units
dependent variable = amount of water in 1 hour (cm
3
)
on the provided spreadsheet. Can you describe the entire graph with one function family? Explain in detail your reasoning.
e the entire graph with one function family because there are many points are all over the place so I would say this is a piece-wise function. the difference, third differences of the data values reveals that as a whole nterpreted as a piece-wise function. Calculate the first differences, second hird differences to find any patterns in the water amounds collected. Use entify the following items for each of the individual pieces fo this function:
nd give the equation of the parent function of the function family that best nction piece. If there is a piece that you do not know, state "I do not know this function yet."
tion is exponential Parent Function: f(x)=e
x
tion is linear Parent Function: f(x)=x
on is looking like it is quadratic function Parent Function: f(x)=x
2
how you determined each function family listed in part A. If you wrote "I not know this function family yet" in part A, explain why.
00
200
300
400
500
600
700
800
Chart Title
Distance from the sprinkler (cm)
2nd piece:
Begins: (150,70)
Ends: (400,300)
3rd piece:
Begins: (400,300)
Ends: (700, 0)
piece:
gins: (0,200)
ds: (150,70)
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his function is linear because it is a straight line and has no curve.
Piece 1 Domain: (0,150)
Piece 2 Domain: (150,400)
Piece 3 Domain: (400,700)
Piece 1 Range: (200,70)
Piece 2 Range: (70,300)
Piece 3 Range: (300,0)
On graph above
Piece 2 is a linear function: y=1.1x
ot a one-to-one function because it fails the vertical line test
ction is quadratic because you can see it curve and it looks like half of a parabola.
. Give the domain for which each function piece is valid
e the range of water amounts shown by each function piece
of the data, clearly label where each type of function begins and ends
ear functions among the pieces that you identified in question 3, write the on for that line. If there are no lines, state how you know this.
unction a one-to-one function? Explain how you determined your answer
.
function continuous based on the situation? Explain how you determined your answer.
to be continuous because it is going at a steady rate and there is no gaps in it.
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ID
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fn1
fn2
fndiff
fs1
fs2
fsdiff
1002501
27
0.73
0.68
0.05
0.99
1.04
-0.05
1015401
42
0.75
0.64
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0.84
0.78
0.06
1.15
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1248202
73
0.57
0.49
0.08
1.06
1.04
0.02
1268301
43
0.66
0.77
-0.11
1.06
1.15
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1269402
43
0.89
0.87
0.02
1.31
1.24
0.07
1273101
47
0.71
0.74
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1.25
1.21
0.04
1323501
47
0.86
0.76
0.1
1.22
1.09
0.13
1337102
72
0.54
0.56
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0.92
1.01
-0.09
1467301
58
0.67
0.64
0.03
1.17
1.04
0.13
1479401
36
0.63
0.61
0.02
1.08
1.2
-0.12
1494101
47
0.6
0.66
-0.06
1.1
0.99
0.11
1497701
53
0.83
0.88
-0.05
1.14
1.18
-0.04
1505502
49
0.65
0.63
0.02
1.02
1.15
-0.13
1519402
52
0.67
0.71
-0.04
0.97
1.01
-0.04
1521701
44
0.65
0.61
0.04
1.11
0.96
0.15
1528201
55
0.58
0.65
-0.07
1.15
1.15
0
1536201
44
0.77
0.63…
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ID
Age
fn1
fn2
fndiff
fs1
fs2
fsdiff
1002501
27
0.73
0.68
0.05
0.99
1.04
-0.05
1015401
42
0.75
0.64
0.11
0.98
1.11
-0.13
1027601
59
0.64
0.64
0
1.06
0.86
0.2
1034301
61
0.65
0.69
-0.04
1.11
1.03
0.08
1121202
47
0.71
0.54
0.17
1.13
0.96
0.17
1162502
33
0.57
0.5
0.07
1.14
1.06
0.08
1188701
45
0.84
0.78
0.06
1.15
1.23
-0.08
1248202
73
0.57
0.49
0.08
1.06
1.04
0.02
1268301
43
0.66
0.77
-0.11
1.06
1.15
-0.09
1269402
43
0.89
0.87
0.02
1.31
1.24
0.07
1273101
47
0.71
0.74
-0.03
1.25
1.21
0.04
1323501
47
0.86
0.76
0.1
1.22
1.09
0.13
1337102
72
0.54
0.56
-0.02
0.92
1.01
-0.09
1467301
58
0.67
0.64
0.03
1.17
1.04
0.13
1479401
36
0.63
0.61
0.02
1.08
1.2
-0.12
1494101
47
0.6
0.66
-0.06
1.1
0.99
0.11
1497701
53
0.83
0.88
-0.05
1.14
1.18
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1505502
49
0.65
0.63
0.02
1.02
1.15
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1519402
52
0.67
0.71
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0.97
1.01
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1521701
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0.65
0.61
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0.96
0.15
1528201
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- Please answer (a) and (b) ID Age fn1 fn2 fndiff fs1 fs2 fsdiff 1002501 27 0.73 0.68 0.05 0.99 1.04 -0.05 1015401 42 0.75 0.64 0.11 0.98 1.11 -0.13 1027601 59 0.64 0.64 0 1.06 0.86 0.2 1034301 61 0.65 0.69 -0.04 1.11 1.03 0.08 1121202 47 0.71 0.54 0.17 1.13 0.96 0.17 1162502 33 0.57 0.5 0.07 1.14 1.06 0.08 1188701 45 0.84 0.78 0.06 1.15 1.23 -0.08 1248202 73 0.57 0.49 0.08 1.06 1.04 0.02 1268301 43 0.66 0.77 -0.11 1.06 1.15 -0.09 1269402 43 0.89 0.87 0.02 1.31 1.24 0.07 1273101 47 0.71 0.74 -0.03 1.25 1.21 0.04 1323501 47 0.86 0.76 0.1 1.22 1.09 0.13 1337102 72 0.54 0.56 -0.02 0.92 1.01 -0.09 1467301 58 0.67 0.64 0.03 1.17 1.04 0.13 1479401 36 0.63 0.61 0.02 1.08 1.2 -0.12 1494101 47 0.6 0.66 -0.06 1.1 0.99 0.11 1497701 53 0.83 0.88 -0.05 1.14 1.18 -0.04 1505502 49 0.65 0.63 0.02 1.02 1.15 -0.13 1519402 52 0.67 0.71 -0.04 0.97 1.01 -0.04 1521701 44 0.65 0.61 0.04 1.11 0.96 0.15 1528201 55 0.58 0.65 -0.07 1.15 1.15 0 1536201 44 0.77 0.63…arrow_forwardPlease answer (a) and (b) ID Age fn1 fn2 fndiff fs1 fs2 fsdiff 1002501 27 0.73 0.68 0.05 0.99 1.04 -0.05 1015401 42 0.75 0.64 0.11 0.98 1.11 -0.13 1027601 59 0.64 0.64 0 1.06 0.86 0.2 1034301 61 0.65 0.69 -0.04 1.11 1.03 0.08 1121202 47 0.71 0.54 0.17 1.13 0.96 0.17 1162502 33 0.57 0.5 0.07 1.14 1.06 0.08 1188701 45 0.84 0.78 0.06 1.15 1.23 -0.08 1248202 73 0.57 0.49 0.08 1.06 1.04 0.02 1268301 43 0.66 0.77 -0.11 1.06 1.15 -0.09 1269402 43 0.89 0.87 0.02 1.31 1.24 0.07 1273101 47 0.71 0.74 -0.03 1.25 1.21 0.04 1323501 47 0.86 0.76 0.1 1.22 1.09 0.13 1337102 72 0.54 0.56 -0.02 0.92 1.01 -0.09 1467301 58 0.67 0.64 0.03 1.17 1.04 0.13 1479401 36 0.63 0.61 0.02 1.08 1.2 -0.12 1494101 47 0.6 0.66 -0.06 1.1 0.99 0.11 1497701 53 0.83 0.88 -0.05 1.14 1.18 -0.04 1505502 49 0.65 0.63 0.02 1.02 1.15 -0.13 1519402 52 0.67 0.71 -0.04 0.97 1.01 -0.04 1521701 44 0.65 0.61 0.04 1.11 0.96 0.15 1528201 55 0.58 0.65 -0.07 1.15 1.15 0 1536201 44 0.77 0.63…arrow_forward
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