Determine the value of ∑X, ∑X2, ∑Y, ∑Y2, ∑XY. Where X represent independent variable and Y for dependent variable. Determine and interpret the coefficient of correlation between the two variables. Determine the value of regressions coefficients and write down the simple linear regression model. Test the validity of the model with the help of ANOVA. Determine the tabulated values of “f” distribution at 0.1 level of significance. [ What does “R square” measure? What is its value and interpret it?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Q2. A fast-food chain decided to carry out an experiment to assess the influence of advertising expenditure on sales. Different relative changes in advertising expenditure, compared to the previous year, were made in eight regions of the country, and resulting changes in sales levels were observed the accompanying table shows the results.
|
Increase in advertising expenditure (%) |
0 |
5 |
15 |
20 |
25 |
30 |
35 |
40 |
|
Increase in sales (%) |
5 |
10 |
18 |
25 |
35 |
50 |
60 |
65 |
- Determine the value of ∑X, ∑X2, ∑Y, ∑Y2, ∑XY. Where X represent independent variable and Y for dependent variable.
- Determine and interpret the coefficient of
correlation between the two variables. - Determine the value of regressions coefficients and write down the simple linear regression model.
- Test the validity of the model with the help of ANOVA.
- Determine the tabulated values of “f” distribution at 0.1 level of significance. [
- What does “R square” measure? What is its value and interpret it?
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