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Refer to laserjeans.xlsx to answer the questions below. These real data come from Ondogan, Z., Pamuk, O., Ondogan, E. N., & Ozguney, A. (2005). Improving the appearance of all textile products from clothing to home textile using laser technology. Optics and Laser Technology, 37, 631-637. Researchers sought to test the differences in tensile strength of jeans designed by hand versus those designed with lasers.  1.      What type of measurement scale do each of the five variables use?  2.      Create histograms for those that are continuous (interval or ratio). How would you describe the shape of these distributions?  3.      A textile researcher wants to simplify the strength data by turning this continuous variable into an ordinal variable with 10 equal interval widths. Given that the lowest force resulting in a rip was 860 N, and the greatest force resulting in a rip was 1,450 N, what should the interval widths (also called bins or breaks) be? Fill in the second column of the table below with these ranges. Now recode your data by creating a new column that categorizes each value into its respective category. Use that variable to complete the table below.   Bin No. Strength Category Frequency (No.) Relative Freq. (%) Cumulative Freq. (%) 1         2         3         4         5         6         7         8         9         10       100%                 Create a bar plot of the data in the 3rd column above and compare it with the histogram created in in Question 2. Is one graph more helpful at judging the shape of the distribution? Why or why not?   I'm just really not sure where to start here. Data; laserjeans method jeanid sampleid strength extension 1 1 1 1266 68.06 1 2 1 1099 61.54 1 3 1 1068 40.48 1 4 1 1266 59.83 1 5 1 968 55.89 1 6 1 1039 54.12 1 7 1 1194 77.09 1 8 1 926 61.8 1 9 1 1009 58.31 1 10 1 1048 71.61 1 11 1 1203 74.4 1 12 1 884 63.38 1 13 1 1069 59.08 1 14 1 1034 73.21 1 15 1 1021 78.6 1 16 1 1022 57.44 1 17 1 1071 88.92 1 18 1 1089 76.77 1 19 1 1197 74.78 1 20 1 1035 71.11 2 21 1 1279 75.52 2 22 1 1197 71.44 2 23 1 1083 44.16 2 24 1 1418 70.56 2 25 1 1273 69.13 2 26 1 1232 62.52 2 27 1 1293 72.62 2 28 1 1121 68.96 2 29 1 1286 71.03 2 30 1 1416 69.34 2 31 1 1285 81.79 2 32 1 1268 69.29 2 33 1 1365 73.73 2 34 1 1309 75.01 2 35 1 1343 75.95 2 36 1 1292 72.64 2 37 1 1234 73.73 2 38 1 1226 75.97 2 39 1 1229 71.6 2 40 1 1254 70.48 1 1 2 1140 63.04 1 2 2 1104 65.2 1 3 2 1051 50.62 1 4 2 1128 56.21 1 5 2 1044 53.51 1 6 2 1303 59.53 1 7 2 1081 60.75 1 8 2 958 60.6 1 9 2 1058 69.8 1 10 2 1077 62.05 1 11 2 956 72.87 1 12 2 1010 59.41 1 13 2 1062 61.71 1 14 2 1073 71.51 1 15 2 1027 68.16 1 16 2 1048 60.76 1 17 2 1101 63.7 1 18 2 1076 80.69 1 19 2 1081 69.65 1 20 2 1084 68.45 2 21 2 1205 71.44 2 22 2 1214 69 2 23 2 1055 47.05 2 24 2 1402 74.5 2 25 2 1310 72.76 2 26 2 1324 73.01 2 27 2 1303 79.82 2 28 2 1083 65.43 2 29 2 1391 69.84 2 30 2 1225 74.16 2 31 2 1396 79.49 2 32 2 1273 75.3 2 33 2 1326 66.65 2 34 2 1393 79.21 2 35 2 1172 73.57 2 36 2 1241 71.8 2 37 2 1292 77.7 2 38 2 1354 73.83 2 39 2 1299 73.59 2 40 2 1202 68.45 1 1 3 1104 61.4 1 2 3 1113 63.44 1 3 3 1063 50.48 1 4 3 1200 63.08 1 5 3 1006 66.7 1 6 3 860 46.39 1 7 3 936 62.76 1 8 3 967 64.72 1 9 3 1018 61.55 1 10 3 1191 69.5 1 11 3 987 73.45 1 12 3 1155 79.59 1 13 3 982 57.91 1 14 3 1064 70.86 1 15 3 1112 68.17 1 16 3 1040 63.46 1 17 3 1075 61.44 1 18 3 1081 73.51 1 19 3 1045 71.19 1 20 3 1077 69.33 2 21 3 1283 78.62 2 22 3 1154 63.06 2 23 3 1117 42.43 2 24 3 1335 71.45 2 25 3 1277 73.41 2 26 3 1313 71.44 2 27 3 1361 74.27 2 28 3 1104 70.42 2 29 3 1450 72.4 2 30 3 1323 75 2 31 3 1315 74.82 2 32 3 1321 77.76 2 33 3 1315 66.9 2 34 3 1386 77.64 2 35 3 1165 75.6 2 36 3 1198 69.73 2 37 3 1223 69.42 2 38 3 1289 80.39 2 39 3 1339 71.4 2 40 3 1266 72.36 method 1=manual; 2=laser         jeanid each number identifies a particular pair of jeans     sampleid each number denotes the specific trial      strength amount of tensile strength place on fabric before tear (in Newtons) extension larger numbers represent greater fabric stretching prior to tear

Refer to laserjeans.xlsx to answer the questions below. These real data come from Ondogan, Z., Pamuk, O., Ondogan, E. N., & Ozguney, A. (2005). Improving the appearance of all textile products from clothing to home textile using laser technology. Optics and Laser Technology, 37, 631-637. Researchers sought to test the differences in tensile strength of jeans designed by hand versus those designed with lasers.  1.      What type of measurement scale do each of the five variables use?  2.      Create histograms for those that are continuous (interval or ratio). How would you describe the shape of these distributions?  3.      A textile researcher wants to simplify the strength data by turning this continuous variable into an ordinal variable with 10 equal interval widths. Given that the lowest force resulting in a rip was 860 N, and the greatest force resulting in a rip was 1,450 N, what should the interval widths (also called bins or breaks) be? Fill in the second column of the table below with these ranges. Now recode your data by creating a new column that categorizes each value into its respective category. Use that variable to complete the table below.   Bin No. Strength Category Frequency (No.) Relative Freq. (%) Cumulative Freq. (%) 1         2         3         4         5         6         7         8         9         10       100%                 Create a bar plot of the data in the 3rd column above and compare it with the histogram created in in Question 2. Is one graph more helpful at judging the shape of the distribution? Why or why not?   I'm just really not sure where to start here. Data; laserjeans method jeanid sampleid strength extension 1 1 1 1266 68.06 1 2 1 1099 61.54 1 3 1 1068 40.48 1 4 1 1266 59.83 1 5 1 968 55.89 1 6 1 1039 54.12 1 7 1 1194 77.09 1 8 1 926 61.8 1 9 1 1009 58.31 1 10 1 1048 71.61 1 11 1 1203 74.4 1 12 1 884 63.38 1 13 1 1069 59.08 1 14 1 1034 73.21 1 15 1 1021 78.6 1 16 1 1022 57.44 1 17 1 1071 88.92 1 18 1 1089 76.77 1 19 1 1197 74.78 1 20 1 1035 71.11 2 21 1 1279 75.52 2 22 1 1197 71.44 2 23 1 1083 44.16 2 24 1 1418 70.56 2 25 1 1273 69.13 2 26 1 1232 62.52 2 27 1 1293 72.62 2 28 1 1121 68.96 2 29 1 1286 71.03 2 30 1 1416 69.34 2 31 1 1285 81.79 2 32 1 1268 69.29 2 33 1 1365 73.73 2 34 1 1309 75.01 2 35 1 1343 75.95 2 36 1 1292 72.64 2 37 1 1234 73.73 2 38 1 1226 75.97 2 39 1 1229 71.6 2 40 1 1254 70.48 1 1 2 1140 63.04 1 2 2 1104 65.2 1 3 2 1051 50.62 1 4 2 1128 56.21 1 5 2 1044 53.51 1 6 2 1303 59.53 1 7 2 1081 60.75 1 8 2 958 60.6 1 9 2 1058 69.8 1 10 2 1077 62.05 1 11 2 956 72.87 1 12 2 1010 59.41 1 13 2 1062 61.71 1 14 2 1073 71.51 1 15 2 1027 68.16 1 16 2 1048 60.76 1 17 2 1101 63.7 1 18 2 1076 80.69 1 19 2 1081 69.65 1 20 2 1084 68.45 2 21 2 1205 71.44 2 22 2 1214 69 2 23 2 1055 47.05 2 24 2 1402 74.5 2 25 2 1310 72.76 2 26 2 1324 73.01 2 27 2 1303 79.82 2 28 2 1083 65.43 2 29 2 1391 69.84 2 30 2 1225 74.16 2 31 2 1396 79.49 2 32 2 1273 75.3 2 33 2 1326 66.65 2 34 2 1393 79.21 2 35 2 1172 73.57 2 36 2 1241 71.8 2 37 2 1292 77.7 2 38 2 1354 73.83 2 39 2 1299 73.59 2 40 2 1202 68.45 1 1 3 1104 61.4 1 2 3 1113 63.44 1 3 3 1063 50.48 1 4 3 1200 63.08 1 5 3 1006 66.7 1 6 3 860 46.39 1 7 3 936 62.76 1 8 3 967 64.72 1 9 3 1018 61.55 1 10 3 1191 69.5 1 11 3 987 73.45 1 12 3 1155 79.59 1 13 3 982 57.91 1 14 3 1064 70.86 1 15 3 1112 68.17 1 16 3 1040 63.46 1 17 3 1075 61.44 1 18 3 1081 73.51 1 19 3 1045 71.19 1 20 3 1077 69.33 2 21 3 1283 78.62 2 22 3 1154 63.06 2 23 3 1117 42.43 2 24 3 1335 71.45 2 25 3 1277 73.41 2 26 3 1313 71.44 2 27 3 1361 74.27 2 28 3 1104 70.42 2 29 3 1450 72.4 2 30 3 1323 75 2 31 3 1315 74.82 2 32 3 1321 77.76 2 33 3 1315 66.9 2 34 3 1386 77.64 2 35 3 1165 75.6 2 36 3 1198 69.73 2 37 3 1223 69.42 2 38 3 1289 80.39 2 39 3 1339 71.4 2 40 3 1266 72.36 method 1=manual; 2=laser         jeanid each number identifies a particular pair of jeans     sampleid each number denotes the specific trial      strength amount of tensile strength place on fabric before tear (in Newtons) extension larger numbers represent greater fabric stretching prior to tear

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Refer to laserjeans.xlsx to answer the questions below. These real data come from Ondogan, Z., Pamuk, O., Ondogan, E. N., & Ozguney, A. (2005). Improving the appearance of all textile products from clothing to home textile using laser technology. Optics and Laser Technology, 37, 631-637. Researchers sought to test the differences in tensile strength of jeans designed by hand versus those designed with lasers.  1.      What type of measurement scale do each of the five variables use?  2.      Create histograms for those that are continuous (interval or ratio). How would you describe the shape of these distributions?  3.      A textile researcher wants to simplify the strength data by turning this continuous variable into an ordinal variable with 10 equal interval widths. Given that the lowest force resulting in a rip was 860 N, and the greatest force resulting in a rip was 1,450 N, what should the interval widths (also called bins or breaks) be? Fill in the second column of the table below with these ranges. Now recode your data by creating a new column that categorizes each value into its respective category. Use that variable to complete the table below.

 

Bin No. Strength Category Frequency (No.) Relative Freq. (%) Cumulative Freq. (%)
1        
2        
3        
4        
5        
6        
7        
8        
9        
10       100%

 

             

Create a bar plot of the data in the 3rd column above and compare it with the histogram created in in Question 2. Is one graph more helpful at judging the shape of the distribution? Why or why not?

 

I'm just really not sure where to start here.

Data; laserjeans

method jeanid sampleid strength extension
1 1 1 1266 68.06
1 2 1 1099 61.54
1 3 1 1068 40.48
1 4 1 1266 59.83
1 5 1 968 55.89
1 6 1 1039 54.12
1 7 1 1194 77.09
1 8 1 926 61.8
1 9 1 1009 58.31
1 10 1 1048 71.61
1 11 1 1203 74.4
1 12 1 884 63.38
1 13 1 1069 59.08
1 14 1 1034 73.21
1 15 1 1021 78.6
1 16 1 1022 57.44
1 17 1 1071 88.92
1 18 1 1089 76.77
1 19 1 1197 74.78
1 20 1 1035 71.11
2 21 1 1279 75.52
2 22 1 1197 71.44
2 23 1 1083 44.16
2 24 1 1418 70.56
2 25 1 1273 69.13
2 26 1 1232 62.52
2 27 1 1293 72.62
2 28 1 1121 68.96
2 29 1 1286 71.03
2 30 1 1416 69.34
2 31 1 1285 81.79
2 32 1 1268 69.29
2 33 1 1365 73.73
2 34 1 1309 75.01
2 35 1 1343 75.95
2 36 1 1292 72.64
2 37 1 1234 73.73
2 38 1 1226 75.97
2 39 1 1229 71.6
2 40 1 1254 70.48
1 1 2 1140 63.04
1 2 2 1104 65.2
1 3 2 1051 50.62
1 4 2 1128 56.21
1 5 2 1044 53.51
1 6 2 1303 59.53
1 7 2 1081 60.75
1 8 2 958 60.6
1 9 2 1058 69.8
1 10 2 1077 62.05
1 11 2 956 72.87
1 12 2 1010 59.41
1 13 2 1062 61.71
1 14 2 1073 71.51
1 15 2 1027 68.16
1 16 2 1048 60.76
1 17 2 1101 63.7
1 18 2 1076 80.69
1 19 2 1081 69.65
1 20 2 1084 68.45
2 21 2 1205 71.44
2 22 2 1214 69
2 23 2 1055 47.05
2 24 2 1402 74.5
2 25 2 1310 72.76
2 26 2 1324 73.01
2 27 2 1303 79.82
2 28 2 1083 65.43
2 29 2 1391 69.84
2 30 2 1225 74.16
2 31 2 1396 79.49
2 32 2 1273 75.3
2 33 2 1326 66.65
2 34 2 1393 79.21
2 35 2 1172 73.57
2 36 2 1241 71.8
2 37 2 1292 77.7
2 38 2 1354 73.83
2 39 2 1299 73.59
2 40 2 1202 68.45
1 1 3 1104 61.4
1 2 3 1113 63.44
1 3 3 1063 50.48
1 4 3 1200 63.08
1 5 3 1006 66.7
1 6 3 860 46.39
1 7 3 936 62.76
1 8 3 967 64.72
1 9 3 1018 61.55
1 10 3 1191 69.5
1 11 3 987 73.45
1 12 3 1155 79.59
1 13 3 982 57.91
1 14 3 1064 70.86
1 15 3 1112 68.17
1 16 3 1040 63.46
1 17 3 1075 61.44
1 18 3 1081 73.51
1 19 3 1045 71.19
1 20 3 1077 69.33
2 21 3 1283 78.62
2 22 3 1154 63.06
2 23 3 1117 42.43
2 24 3 1335 71.45
2 25 3 1277 73.41
2 26 3 1313 71.44
2 27 3 1361 74.27
2 28 3 1104 70.42
2 29 3 1450 72.4
2 30 3 1323 75
2 31 3 1315 74.82
2 32 3 1321 77.76
2 33 3 1315 66.9
2 34 3 1386 77.64
2 35 3 1165 75.6
2 36 3 1198 69.73
2 37 3 1223 69.42
2 38 3 1289 80.39
2 39 3 1339 71.4
2 40 3 1266 72.36
method 1=manual; 2=laser        
jeanid each number identifies a particular pair of jeans    
sampleid each number denotes the specific trial     
strength amount of tensile strength place on fabric before tear (in Newtons)
extension larger numbers represent greater fabric stretching prior to tear  
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