Help me with these questions please. 1. Name four characteristics that are used to describe single variable data. 2. What are the advantages of using a stemplot over a histogram? What are the disadvantages? 3. What are the advantages of using the mean as the center? What are the disadvantages? 4. What are the advantages of using the median as the center? What are the disadvantages? 5. What type of graph is used for bivariate data? 6. What is the difference between explanatory and response variables? 7. What does the correlation coefficient, r, measure? 8. What is the range of values of r? 9. What does the coefficient of determination, r^2, measure? 10. What is the range of values of r^2? 11. How is a residual plot constructed? 12. How is a residual plot interpreted? Solution 1) i. Randomness ii. Presentable iii. Reliable iv. Genuine 2) Stemplot gives list of values as it is in a easy form of presentation. Disadvantage is while histogram enables comparison about the data, stemplot just presents data in a grouped form 3) Mean is easily understood and also a good central measure. So many distributions we find that sample mean estimates population parameter but disadvantage of mean is it is affected by extreme items or outliers thus giving wrong picture about average. 4) Median is reliable and not affected by outliers as it is affectd only by the order of the item. The disadvantage is that for continuous data, it is not possible always to arrange in ascending and find median. 5) Planar graph with 2 coordinates used for bivariate data. 6) Explanatory variable is the independent variable which can take any value but response variable value depends on the value of explanatory variable 7) Correlation coefficient measures the dependence or association of two variables 8) r lies between -1 and +1 9) Coefficient of determination represent variation of y wrt x. It is square of r, and always positive thus gives a clear picture of relation between x and y. 10) r^2 varies from 0 to 1 11) Residual plot is constructed using scatter diagram and least square line. REsidue plot is the deviation of actual from estimated regression curve. 12) REsidual plot is the absolute difference of y and y estimate..

1. Help me with these questions please.
1. Name four characteristics that are used to describe single variable data.
2. What are the advantages of using a stemplot over a histogram? What are the disadvantages?
3. What are the advantages of using the mean as the center? What are the disadvantages?
4. What are the advantages of using the median as the center? What are the disadvantages?
5. What type of graph is used for bivariate data?
6. What is the difference between explanatory and response variables?
7. What does the correlation coefficient, r, measure?
8. What is the range of values of r?
9. What does the coefficient of determination, r^2, measure?
10. What is the range of values of r^2?
11. How is a residual plot constructed?
12. How is a residual plot interpreted?
Solution
1) i. Randomness ii. Presentable iii. Reliable iv. Genuine
2) Stemplot gives list of values as it is in a easy form of presentation.
Disadvantage is while histogram enables comparison about the data, stemplot just presents data
in a grouped form
3) Mean is easily understood and also a good central measure. So many distributions we find that
sample mean estimates population parameter but disadvantage of mean is it is affected by
extreme items or outliers thus giving wrong picture about average.
4) Median is reliable and not affected by outliers as it is affectd only by the order of the item.
The disadvantage is that for continuous data, it is not possible always to arrange in ascending and
find median.
5) Planar graph with 2 coordinates used for bivariate data.
6) Explanatory variable is the independent variable which can take any value but response
variable value depends on the value of explanatory variable
7) Correlation coefficient measures the dependence or association of two variables
8) r lies between -1 and +1
9) Coefficient of determination represent variation of y wrt x. It is square of r, and always
positive thus gives a clear picture of relation between x and y.
10) r^2 varies from 0 to 1
11) Residual plot is constructed using scatter diagram and least square line.

2. REsidue plot is the deviation of actual from estimated regression curve.
12) REsidual plot is the absolute difference of y and y estimate.