CORRELATION AND REGRESSION 2

FORTS 7 QUESTIONS – CORRELATION AND REGRESSION

  1. The management of Huddwink Hessian Ltd believes that the cost of servicing and delivering an order varies in direct proportion to the size of the order.

The following data which has been randomly sampled from recent orders is considered typical:

Size of order
(units)
Order handling cost

£

36 929
85 2215
69 1679
57 1224
95 1988
76 2002
72 1857
74 1580

 

You are required to:

(a)   Find the sample correlation coefficient (r).

(b)   Test, at the 5% level of significance, the null hypothesis that there is no linear relationship between order handling cost and size of order.

(c)   Calculate the “Goodness of Fit” for the data.

(d)   Calculate the equation of the least squares regression line:
Order handling cost = A + (B × Size of order).

(e)   Estimate from your equation the order handling cost for an order of 79 units.

  1. For the period 19X0 to 19X9, the coal production, number of coalminers killed underground and average weekly earnings of underground workers were as follows:
Year Coal production
(million tons)
Persons killed
underground
Average weekly
earnings (£)
19X0 123 87 234
19X1 120 70 266
19X2 100 75 306
19X3 114 79 381
19X4 100 70 407
19X5 110 63 470
19X6 110 60 528
19X7 159 113 584
19X8 96 55 642
19X9 99 45 959

 

(i)    With respect to the relationship between coal production and number of persons killed:

(a)  Find the sample correlation coefficient (r).

(b)  Test, at the 10% level of significance, whether there is a linear relationship between coal production and number of persons killed.

(c)   Calculate the “Goodness of Fit” for the data.

(d)  Calculate the equation of the least squares regression line:
Persons killed = A + (B × Coal production (million tons)).

 

(ii)   With respect to the relationship between coal production and average weekly earnings:

(a)  Find the sample correlation coefficient (r).

(b)  Test, at the 1% level of significance, whether there is a linear relationship between coal production and average weekly earnings.

(c)   Calculate the “Goodness of Fit” for the data.

(d)  Calculate the equation of the least squares regression line:
Average weekly earnings = A + (B × Coal production (million tons)).

 

p(1)

Place your order now to enjoy great discounts on this or a similar topic.

People choose us because we provide:

Essays written from scratch, 100% original,

Delivery within deadlines,

Competitive prices and excellent quality,

24/7 customer support,

Priority on their privacy,

Unlimited free revisions upon request, and

Plagiarism free work,

 

Unlike most other websites we deliver what we promise;

  • Our Support Staff are online 24/7
  • Our Writers are available 24/7
  • Most Urgent order is delivered with 6 Hrs
  • 100% Original Assignment Plagiarism report can be sent to you upon request.

GET 15 % DISCOUNT TODAY use the discount code PAPER15 at the order form.

Type of paper
Academic level
Subject area
Number of pages
Paper urgency
Cost per page
Currency
Total