1. The following table provide marks on a competitive examination for ten students in two courses:

 Candidate A B C D E F G H I J Accounting (X) 95 83 74 92 84 89 36 71 49 71 Business Maths (Y) 78 92 72 84 81 93 63 63 66 73

Calculate:
a) The equations of the least squares regression line of Y on X and X on Y (8 marks)
b)
The product-moment correlation coefficient (5 marks)
c) The spearman’s coefficient of correlation (7 marks)
(Total = 20 Marks)
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2. The table provides information for three commodities in the Muea Market in 2018 and 2019:

 Commodities 2018 2019 Price (FCFA) Quantity (KG) Price (FCFA) Quantity (KG) Rice 600 500 Groundnut 400 300 Beans 500 400

The prices of each commodity sold in 2018 increased by 10% in 2019, meanwhile their respective quantities
dropped by 5%.
Using 2018 as based year, calculate:
a) The simple price and quantity indices for each product. (6 marks)
b) The simple price and quantity aggregates (6 marks)
c) The Laspeyres and Paasche indices (8 marks)
(Total = 20 marks)
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3. a) (i) What is skewness? (2 marks)
(ii) Differentiate between positively and negatively skewed distributions (4 marks)
b) A die is tossed 116 times and the following distribution is obtained:

 Number on die (xi) 1 2 3 4 5 6 Frequency (ni) 14 22 30 25 15 10

Calculate:
i) The mean and the mean deviation of the distribution.
(6 marks)

 ii) iii) The median and standard deviation of the distribution. The coefficient of skewness (5 marks) (3 marks) (Total = 20 marks)