Construct a monthly sales forecast for the firm for 1990

Assignment Help Basic Statistics

Reference no: EM132606817

QUESTION ONE

Kenya airways assumes a direct relationship between advertising and expenditure and the number of passengers flying the airline. Monthly values of advertising expenditure and the number of passengers are collected for n=15 recent months as the table below. Passengers(Y) are assumed to depend on advertising (X).

Use ordinary least squares to determine regression model.

Calculate the standard error of estimate in order to measure the precision of estimate obtained by regression model.

Month   Advertising   Passenger
1   10   15
2   12   17
3   8   13
4   17   23
5   10   16
6   15   21
7   10   14
8   14   20
9   19   24
10   10   17
11   11   16
12   13   18
13   16   23
14   10   15
15   12   16

QUESTON TWO
From the following data obtain two regression equations.

X 6 2 10 4 8
Y 9 11 5 8 7

QUESTION THREE

Calculate the coefficient of correlation from the following data by spearman's rank correlation method.

Price of tea   Price of coffee
75   120
88   134
95   150
70   115
60   110
80   140
81   142
50   100

QUESTION FOUR

An equation describing the sale trend of a chemical firm is St=21.3+1.3t. Where St is the sales of the firm and t is the time measured in months from January 1984. The firm's seasonal index of sales is;

Jan 103   May 101   Sep 121
Feb 80   Jun 104   Oct 101
Mar 75   July 120   Nov 75
Apr 103   Aug 139   Dec 78

Construct a monthly sales forecast for the firm for 1990.

QUESTION FIVE
The following data shows scores of marks of 10 students in Mathematics and Chemistry. Use it to calculate the product moment correlation coefficient and comment on its value.

X 6 9 10 12 12 14 17 18 18 20
Y 42 42 46 50 44 53 58 51 53 57

Reference no: EM132606817

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