# Assignment Essay

649 WordsMay 20, 20153 Pages
Poorva Patil Math 240 Homework-1 3.62] How do the variance and the coefficient of correlation differ? The strength of the linear relationship between two numerical say X and Y is known as covariance. Where, x = the independent variable y = the dependent variable n = number of data points in the sample = the mean of the independent variable x = the mean of the dependent variable y Correlation: The relative strength of the linear relationship between two variables is defined as coefficient of correlation. Where, r(x,y) = correlation of the variables x and y COV(x, y) = covariance of the variables x and y sx = sample standard deviation of the random variable x sy = sample standard deviation of the random variable y [3.65] (a) Mean | 43.04 | Median | 28.5 | First Quartile | 14 | Third Quartile | 54 | (b) Range 164 Interquartile range 40 Sample Variance= S*S 1757.8 Standard deviation 41.926 Coefficient of variation(S/X)*100%) 97% ( c) The data is right skewed since most of the data is on the left side of the box plot. (d) Here the Mean&gt; Median, this shows that the distribution is right skewed and the relation is positive. The customer should expect around 40 days for his complaint to be resolved. 3.68] (a) Mean | 54.775 | Median | 62 | First Quartile | 34 | Third Quartile | 75 | (b) Range | 98 | | 83 | Interquartile range 41 Variance 762.9481 Standard Deviation | 27.62151475 | Coefficient of variance 50.43% © The data is left skewed since the concentration of the data is on the right side of the box plot. (d) The coefficient of correlation between bundle score and typical cost r=0.34645 (e) This concludes that the correlation between bundle score and typical cost is very weak and restaurants that have a high bundle score have high