DATA: obs sat act 1 979 21 2 1088 23 3 782 18 4 858 23 5 667 15 6 965 22 7 981 24 8 787 15 9 828 17 10 902 19 11 1040 19 12 965 26 13 977 21 14 938 20 15 1034 25 16 1161 26 17 833 17 18 715 16 19 1219 27 20 696 19 21 678 16 22 779 15 23 1309 32 24 613 18 25 810 18 26 966 23 27 966 21 28 1253 31 29 823 17 30 1153 23 31 1048 20 32 1015 26 33 602 11 34 769 17 35 891 20 36 835 18 37 925 18 38 1203 28 39 992 19 40 1007 26 41 978 22 42 903 17 43 1084 30 44 730 17 45 1253 28 46 650 10 47 1138 23 48 845 18 49 870 18 50 1125 27 51 863 15 52 1132 22 53 960 17 54 590 14 55 1181 23 56 774 17 57 1139 26 58 910 20 59 659 14 60 942 20
The SAT and the ACT are the two major standardized tests that
colleges use to evaluate candidates. Most students take just one of
these tests. However, some students take both. The data below gives
the scores of 60 students who did this. How can we relate the two
tests?
(a) Plot the data with SAT on the x axis and ACT on the
y axis. Describe the overall pattern and any unusual
observations.
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = | + (SAT) |
| t = | |
| P = |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.)
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data163.dat gives the scores of 60 students who did this. How can we relate the two tests?
(a) Plot the data with SAT on the x axis and ACT on the
y axis. Describe the overall pattern and any unusual
observations.
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = | + (SAT) |
| t = | |
| P = |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.)
The data is below
obs sat act 1 1201 26 2 462 11 3 1085 24 4 973 22 5 974 20 6 889 20 7 1071 20 8 634 14 9 940 18 10 760 16 11 830 22 12 1165 25 13 743 19 14 1061 24 15 987 26 16 1162 20 17 1149 29 18 658 18 19 1016 22 20 942 22 21 716 15 22 1205 29 23 659 12 24 895 20 25 629 17 26 815 16 27 1000 23 28 764 17 29 620 11 30 812 16 31 908 19 32 720 17 33 977 22 34 722 16 35 841 18 36 1254 27 37 1256 27 38 1085 26 39 1143 26 40 1189 26 41 983 22 42 814 20 43 1143 26 44 816 16 45 931 21 46 737 16 47 763 18 48 1064 24 49 619 14 50 1013 23 51 776 18 52 622 11 53 1036 23 54 593 14 55 1026 22 56 706 18 57 715 15 58 1266 28 59 839 15 60 884 16
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data187.dat gives the scores of 60 students who did this. How can we relate the two tests?
(a) Plot the data with SAT on the x axis and ACT on the
y axis. Describe the overall pattern and any unusual
observations.
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = | + (SAT) |
| t = | |
| P = |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.)
Data Set:
obs sat act 1 805 16 2 757 17 3 731 13 4 1054 23 5 996 17 6 616 11 7 825 14 8 924 18 9 918 21 10 877 20 11 1107 24 12 764 17 13 886 17 14 750 17 15 1393 30 16 670 12 17 775 18 18 1172 26 19 897 20 20 930 22 21 869 21 22 863 20 23 770 14 24 776 20 25 1012 22 26 780 15 27 704 14 28 1055 23 29 791 19 30 910 17 31 1062 22 32 786 18 33 964 18 34 1021 21 35 936 19 36 900 22 37 902 21 38 950 16 39 1005 25 40 794 22 41 843 21 42 1082 25 43 727 18 44 903 16 45 782 16 46 928 25 47 1092 25 48 781 14 49 819 20 50 1066 24 51 982 20 52 1161 27 53 910 17 54 992 23 55 788 17 56 761 15 57 1014 28 58 986 18 59 578 9 60 636 11
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data42.datgives the scores of 60 students who did this. How can we relate the two tests?
(a) Plot the data with SAT on the x axis and ACT on the
y axis. Describe the overall pattern and any unusual
observations.
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = | + (SAT) |
| t = | |
| P = |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.)
Data set
obs sat act 1 708 15 2 1064 26 3 912 25 4 953 23 5 1251 28 6 648 12 7 1005 21 8 664 16 9 604 17 10 945 25 11 1034 21 12 895 16 13 935 19 14 909 24 15 938 17 16 777 21 17 703 14 18 1242 25 19 971 21 20 817 17 21 885 18 22 1138 23 23 909 17 24 788 21 25 1064 19 26 1170 26 27 806 15 28 923 20 29 1170 21 30 579 16 31 888 22 32 1207 24 33 871 22 34 1117 25 35 1070 17 36 767 17 37 969 22 38 1027 30 39 931 23 40 933 21 41 965 26 42 960 22 43 787 17 44 1002 20 45 1221 33 46 1042 24 47 897 22 48 1061 24 49 898 18 50 720 11 51 976 18 52 1066 25 53 931 18 54 593 12 55 735 16 56 544 10 57 871 17 58 875 21 59 921 22 60 559 15
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data25.dat gives the scores of 60 students who did this. How can we relate the two tests?
(a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations.
(b) Find the least-squares regression line and draw it on your plot. Give the results of the significance test for the slope. (Round your regression slope and intercept to three decimal places, your test statistic to two decimal places, and your P-value to four decimal places.)
ACT = + (SAT)
t =
P =
(c) What is the correlation between the two tests? (Round your answer to three decimal places.)
obs sat act 1 882 19 2 993 21 3 1172 23 4 800 12 5 845 19 6 1015 22 7 862 20 8 860 23 9 635 17 10 962 18 11 1004 26 12 840 15 13 1023 21 14 1134 23 15 642 15 16 920 21 17 842 18 18 820 16 19 889 22 20 815 17 21 570 14 22 1107 24 23 984 21 24 721 20 25 1026 17 26 748 17 27 972 19 28 912 20 29 857 13 30 905 18 31 1076 22 32 1151 26 33 488 12 34 789 13 35 986 21 36 697 17 37 780 17 38 964 25 39 1019 30 40 1003 26 41 666 10 42 1061 25 43 1106 26 44 1151 24 45 705 17 46 1018 27 47 881 20 48 1192 26 49 750 17 50 824 16 51 762 23 52 615 11 53 855 19 54 1022 22 55 1018 23 56 759 18 57 813 21 58 965 22 59 1046 26 60 1018 21
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data311.dat gives the scores of 60 students who did this. How can we relate the two tests? (a) Plot the data with SAT on the x axis and ACT on the y axis. Describe the overall pattern and any unusual observations. (b) Find the least-squares regression line and draw it on your plot. Give the results of the significance test for the slope. (Round your regression slope and intercept to three decimal places, your test statistic to two decimal places, and your P-value to four decimal places.) ACT = + (SAT) t = P = (c) What is the correlation between the two tests? (Round your answer to three decimal places.)
obs sat act 1 1031 23 2 801 17 3 663 12 4 1096 27 5 693 17 6 906 22 7 708 17 8 1180 26 9 914 19 10 1099 25 11 775 20 12 1194 27 13 1009 21 14 899 22 15 833 18 16 1087 22 17 802 18 18 901 18 19 877 21 20 1049 20 21 868 17 22 792 17 23 1008 17 24 1167 25 25 554 10 26 1045 20 27 1206 28 28 875 22 29 798 19 30 1060 21 31 1124 26 32 1176 25 33 1068 23 34 732 12 35 741 14 36 969 22 37 593 12 38 613 19 39 619 14 40 1122 24 41 911 18 42 787 16 43 1033 26 44 781 14 45 941 26 46 989 24 47 756 15 48 1043 24 49 647 10 50 817 17 51 357 9 52 1157 27 53 1115 25 54 904 19 55 1094 27 56 837 19 57 573 12 58 749 18 59 1203 25 60 895 23
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data34.dat gives the scores of 60 students who did this. How can we relate the two tests?
(a) Plot the data with SAT on the x axis and ACT on the
y axis. Describe the overall pattern and any unusual
observations.
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = ______ | +_______ (SAT) |
| t =_______ | |
| P = _______ |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.) (_______)
obs sat act 1 1104 23 2 786 16 3 668 18 4 1062 20 5 1025 21 6 1254 29 7 1183 21 8 908 12 9 837 22 10 695 12 11 1043 21 12 735 18 13 884 17 14 1269 28 15 968 21 16 1034 22 17 1070 25 18 826 19 19 750 16 20 1043 21 21 854 23 22 1063 26 23 866 21 24 1021 18 25 719 10 26 1134 27 27 932 20 28 1069 22 29 904 20 30 839 23 31 998 20 32 672 17 33 1199 26 34 775 22 35 1195 31 36 795 15 37 776 18 38 888 19 39 967 22 40 915 23 41 792 18 42 663 20 43 745 13 44 615 14 45 844 18 46 745 15 47 950 24 48 967 21 49 1258 27 50 983 21 51 915 21 52 1041 19 53 902 25 54 932 23 55 858 16 56 966 22 57 784 18 58 1082 27 59 868 20 60 992 24
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data5.dat gives the scores of 60 students who did this. How can we relate the two tests?
(a) Plot the data with SAT on the x axis and ACT on the
y axis. Describe the overall pattern and any unusual
observations.
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = | + (SAT) |
| t = | |
| P = |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.)
obs sat act 1 950 17 2 719 19 3 648 17 4 905 22 5 1263 29 6 995 25 7 1184 25 8 672 13 9 882 17 10 1082 21 11 875 17 12 951 20 13 1045 22 14 679 19 15 794 18 16 722 16 17 1227 28 18 746 14 19 1145 27 20 716 19 21 1208 28 22 950 21 23 890 23 24 761 17 25 969 17 26 647 11 27 857 21 28 991 21 29 798 17 30 666 14 31 761 19 32 660 20 33 631 16 34 1121 26 35 978 26 36 883 18 37 807 18 38 895 19 39 1184 23 40 869 17 41 582 14 42 1070 20 43 642 16 44 937 23 45 1086 27 46 1013 26 47 713 19 48 1144 25 49 990 24 50 878 16 51 870 26 52 1090 27 53 1095 26 54 781 19 55 1046 21 56 675 13 57 1257 25 58 1099 27 59 620 10 60 714 13
In: Math
From Chapter 4 Case Study 2- An Introduction to Management Science- A Qualitative Approach to Decision Making 14e
Schneider's sweet shop specializes in homade candies and ice cream. Schneider produces its ice cream in-house, in batches of 50 pounds. The first stage in ice cream making is blending of the ingredients to obtain a mix which meets pre-specified requirements on the percentages of certain constituents of the mix. The desired composition is as follows
1. Fat 16%
2. Serum Solids 8%
3. Sugar Solids 16%
4. Egg Solids .35%
5. Stabalizer .25%
6. Emulsifier .15%
7. Water 59.25 %
The mix can be composed from the following list
Ingredient Cost ($/lb)
1. 40% Cream 1.19
2. 23% Cream .70
3. Butter 2.32
4.Plastic Cream 2.30
5. Butter Oil 2.87
6. 4% milk .25
7. Skim condensed milk .35
8. Skim milk powder .65
9. Liquid Sugar .25
10. Sugared frozen fresh egg yolk 1.75
11. Powdered egg yolk 4.45
12. Stabalizer 2.45
13. Emulsifier 1.68
14. Water .00
The number of pounds of a constituent found in a pound of an ingredient is show before. Note that a pound of stabalizer contributes only to the stabalizer requirement (one pound), and that water contributes only to the water requirement (one pound.)
Constituent Ingredient
PRIVATE 1 2 3 4 5 6 7 8 9 10 11 12 13 14
1 .4 .2 .8 .8 .9 .1 .5 .6
2 .1 .1 .3 .1
3 .7 .1
4 .4 .4
5 1
6 1
7 .5 .8 .2 .1 .1 .8 .7 .3 1
Young Jack Schneider has recently acquired the shop from his father. Jack's father has in the past used the following mixture: 9.73 pounds of plastic cream, 3.03 pounds of skim milk powder, 11.37 pounds of liquid sugar,. 44 pounds of sugared frozen fresh egg yolk, .12 pounds of stabalizer, .07 pounds of emulsifier, and 25.24 pounds of water. (The scale at Schneider's is only accurate to 100th of a pound). Jack feels that perhaps it is possible to produce the ice cream in a more cost-effective manner. He would like to find the cheapest mix for producing a batch of ice cream, which meets the requirements specified above. Jack is also curious about the cost effect of being a little more flexible in the requirements listed above. He wants to konw the cheapest mix if the composition meets the following tolerances:
1) Fat 15-17%
2) Serum Solids 7-9%
3) Sugar Solids 15.5-16.5%
4) Egg Solids .3-.4%
5) Stabalizer .2-.3%
6) Emulsifier .1-.2%
7) Water 58-59.5%
Managerial Report
Write a managerial report which compares the cost of Papa Jack's approach to (a) cost-minimized approach using the desired composition (b) the cost-minimized approach with the more flexible requirements. Include in your report the following:
1) The cost of 50 pounds of ice cream under each of the three approaches
2) The amount of each ingredient used in the mix for each of the thre approaches
3) A recommendation as to whcih approach should be used
In: Statistics and Probability
|
Company A |
|||
|
Year |
EPS |
DPS |
Market price |
|
2006 |
4 |
1.6 |
12 |
|
2007 |
1.5 |
0.6 |
8.5 |
|
2008 |
5 |
2.0 |
13.5 |
|
2009 |
4 |
1.6 |
1.5 |
|
2010 |
8 |
3.2 |
14.5 |
|
Company B |
|||
|
Year |
EPS |
DPS |
Market Price |
|
2006 |
4 |
1.8 |
13.50 |
|
2007 |
1.50 |
1.8 |
12.50 |
|
2008 |
5 |
1.8 |
12.50 |
|
2009 |
4 |
1.8 |
12.50 |
|
2010 |
8 |
1.8 |
15.00 |
Required:
In: Finance