Homework Sourse1a Calculate the correlation coefficient between the hours o
1.(a) Calculate the correlation coefficient between the hours of study and final score for the last statistics exam.
hrs of study: 3,5,4,4,2,3
score: 86,95,92,83,78,82
Then test the significance of the correlation coefficient between hours of study and final score using 0.05 significance level.
2. (a) Calculate the Correlation Coefficient between the demand and price of IPhones.
demand: 36,23,12,16,14,10,5,2
price:70,80,90,100,110,120,130,140
3.Then, test the significance of the Correlation Coefficient between price and demand using 0.01 significance level.
A factory manufactures three products (see below); using the information below, calculate a prediction of how much will cost to operate a factory based on the numbers of units produced below.
Month
Cost
A Made
B Made
C made
1
4439
515
541
928
2
43936
929
692
711
3
44464
800
710
824
4
41533
979
675
758
5
46343
1165
1147
635
6
44922
651
939
901
7
43203
847
755
580
8
43000
942
908
589
9
40967
630
738
682
10
48582
1113
1175
1050
| Month | Cost | A Made | B Made | C made |
| 1 | 4439 | 515 | 541 | 928 |
| 2 | 43936 | 929 | 692 | 711 |
| 3 | 44464 | 800 | 710 | 824 |
| 4 | 41533 | 979 | 675 | 758 |
| 5 | 46343 | 1165 | 1147 | 635 |
| 6 | 44922 | 651 | 939 | 901 |
| 7 | 43203 | 847 | 755 | 580 |
| 8 | 43000 | 942 | 908 | 589 |
| 9 | 40967 | 630 | 738 | 682 |
| 10 | 48582 | 1113 | 1175 | 1050 |
Solution
1.
Using technology, we get
r = 0.861555071
As t = r sqrt [(n - 2) / (1 - r^2)], then
t = 3.394193269
As alpha = 0.05
df = n-2 = 4
Then
tcrit = +/- 2.776445105
As t > 2.776, then there is significant evidence that correlation between hours of study and score is significant. [CONCLUSION]
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