Exercise 1. Using classical statistics describe the structure of monthly turnover of 80 shops [in tousand PLN].Calculate and interpret: arithmetic mean, standard deviation, coefficient of variability, coefficient of asymmetry (skewness) and coefficient of concentration (kurtosis). Exercise 2. Using positional statistics describe the structure of monthly turnover of 80 shops [in tousand PLN]Calculate and interpret: median, quartiles, deciles, quartile deviation, positional coefficient of variation, positional coefficient of asymmetry and positional coefficient of concentration. Perform all calculations for the following data types: individual data, interval groupped data. 51 27 51 59 29 24 44 42 47 24 76 73 68 41 49 47 48 54 49 66 35 34 18 51 62 45 55 43 71 37 52 60 34 67 58 55 69 61 62 60 47 51 75 41 48 26 26 62 55 34 26 67 52 47 34 51 67 57 57 58 51 57 57 55 41 53 48 14 49 79 46 69 72 75 26 59 44 69 69 68
Exercise 1. Using classical statistics describe the structure of monthly turnover of 80 shops [in tousand PLN].Calculate and interpret: arithmetic mean, standard deviation, coefficient of variability, coefficient of asymmetry (skewness) and coefficient of concentration (kurtosis).
Exercise 2. Using positional statistics describe the structure of monthly turnover of 80 shops [in tousand PLN]Calculate and interpret: median,
Perform all calculations for the following data types:
- individual data,
- interval groupped data.
51 | 27 | 51 | 59 | 29 | 24 | 44 | 42 |
47 | 24 | 76 | 73 | 68 | 41 | 49 | 47 |
48 | 54 | 49 | 66 | 35 | 34 | 18 | 51 |
62 | 45 | 55 | 43 | 71 | 37 | 52 | 60 |
34 | 67 | 58 | 55 | 69 | 61 | 62 | 60 |
47 | 51 | 75 | 41 | 48 | 26 | 26 | 62 |
55 | 34 | 26 | 67 | 52 | 47 | 34 | 51 |
67 | 57 | 57 | 58 | 51 | 57 | 57 | 55 |
41 | 53 | 48 | 14 | 49 | 79 | 46 | 69 |
72 | 75 | 26 | 59 | 44 | 69 | 69 | 68 |
Exercise 3.
- Calculate Pearson's
correlation coefficient between expenditure (Y) and the income per 1 person (X). - Build a linear regression model describing the relationship between expenditure (Y) and income per 1 person (X):
- estimate the structural parameters of the regression model,
- interprete the regression coefficient,
- determine the theoretical values and residuals from the estimated model.
All measures should be interpreted. Accuracy of calculations - up to the thousandth. |
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