Reference no: EM131214272
Correlation and Regression)
1. Calculate Karl Pearson's Coefficient of correlation for the following data of the sales(x) and expenses(y) in lakes of rupees of 7 firms
| x |
17 |
15 |
25 |
28 |
19 |
18 |
20 |
| y |
12 |
14 |
18 |
20 |
14 |
11 |
16 |
2. Calculate Karl Pearson's Coefficient or correlation for the following data relating to overhead expenses and cost of production.
| Overhead( Rs. '000) |
70 |
80 |
100 |
105 |
120 |
101 |
105 |
| Cost (Rs.'000) |
14 |
15 |
18 |
20 |
20 |
25 |
22 |
3. Calculate Karl Pearson's Coefficient of correlation for the following data
Σx = 20, Σy = 40, Σx2 = 240, Σy2 = 410, Σxy = 200, n = 10
4. Calculate Product moment Coefficient of correlation for the following data.
Σx = 125, Σy = 100 Σx2 = 650, Σy2 = 436, Σxy = 520, n = 12
5. Calculate Product moment Coefficient of correlation 1-6r the following data.
Σ (X - x)2 =136, Σ(Y - y-)2 = 138, Σ(X -x-)(Y - y-) = 122, n =10
6. Calculate Karl Pearson's Coefficient of correlation for the following data,
Σ(X - x-)2 = 40, Σ( Y - y-)2 = 20, (X - x-)(Y - y-) = -26
7. Calculate Spearman's rank correlation coefficient of correlation between the supply and demand of certain commodities from the following data.
| Supply |
52 |
34 |
47 |
65 |
43 |
35 |
54 |
| Demand |
65 |
59 |
66 |
68 |
82 |
60 |
57 |
8. Find the Spearman's rank correlation coefficient for the following data.
| A |
70 |
66 |
78 |
50 |
70 |
55 |
| B |
52 |
90 |
77 |
65 |
80 |
45 |
9 The coefficient of rank correlation between the marks in Economics and marks m Statistics obtained, by a group 01 students is 0.8. If the sum of squares of the differeiices in ranks is given tube 33, find the number of students in the group.
10. The sum of squares of the differences between ranks found to be 66. The coefficient of rank correlation is 0.6. Find the number of pairs in data.
11. Find the two regression equation given the following data.
Σx= 49, Σy = 73, Σx2 = 359, Σy2 = 695, Σxy = 417, n = 8
12. The data for 10 years on sales(y) and advertising expenditure (x) of , a particular commodity is given below:
Σx =15, Σy = 110, Σx2= 250, Σy2 = 3200, Σxy = 400, n = 10
|
Explain the difference between systematic and random error
: What can be done in this circumstance to ensure the method and reported value is valid? Explain the difference between systematic and random error. Give three examples for sources of systematic error.
|
|
Draw a neat sketch of the voice and data cabling arrangement
: A building you plan to use as an office has four floors; each floor is a rectangle 1000 ft. long and 300 ft. wide. The vertical separation between the floors is 20 ft. Draw a neat sketch of the voice and data cabling arrangement on any one floor o..
|
|
Hypothesis testing for two populations
: TNH Industry Human Resources department is concerned about the perception of the hours worked per week at the India facility compared to hours worked at the China facility. Sunila, the HR Manager has asked for your help.
|
|
Conduct hypothesis tests for price and proportion
: 1. Conduct hypothesis tests for price and proportion. 2. Based on this updated data and Larry's parameters, should the new line be marketed? Explain your answer.
|
|
Calculate karl pearsons coefficient or correlation
: Calculate Karl Pearson's Coefficient or correlation for the following data relating to overhead expenses and cost of production - Calculate Product moment Coefficient of correlation for the data.
|
|
Find the expected value
: (a) Find the expected value (in dollars) of the amount won by one entry. (b) Find the expected value (in dollars) if the cost of entering this sweepstakes is the cost of a postage stamp (34 cents)
|
|
Design of a smart application to solve business need
: The purpose of this assignment is to prepare a written report that will present a detail plan and design of a smart application to solve business need stated in a business case. In this assignment you are working in a group of 3-4 students but you..
|
|
Expected winnings far a ticket buyer
: If each ticket costs $3 and 8600 tickets are sold, what are the expected winnings far a ticket buyer? Express to at least three decimal place accuracy in dollar form (as opposed to cents).
|
|
What is the molecular formula of l-dopa
: What is the molecular formula of L-dopa? How many molecules are contained in each of the following number of moles? How many moles are contained in each number of grams of table sugar.
|