The following observations are for two quantitative variables, x and y. Observation x y Observation x y 1 26 60 11 20 95 2 20 83 12 74 22 3 69 59 13 65 20 4 80 28 14 18 86 5 35 60 15 70 29 6 71 21 16 38 69 7 38 60 17 33 71 8 11 93 18 60 70 9 66 44 19 45 26 10 61 56 20 39 23 If your answer is "zero", enter "0". a. Develop a crosstabulation for the data, with x as the row variable and y as the column variable. For x use classes of 10-29 , 30-49 , and so on; for y use classes of 20-39 , 40-59 , and so on. Grand Total Grand Total b. Compute the row percentages (to 1 decimal). Grand Total % % % % % % % % % % % % % % % % % % % % c. Compute the column percentages (to 1 decimal). % % % % % % % % % % % % % % % % Grand Total % % % %
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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The following observations are for two quantitative variables, x and y.
If your answer is "zero", enter "0". a. Develop a crosstabulation for the data, with x as the row variable and y as the column variable. For x use classes of 10-29 , 30-49 , and so on; for y use classes of 20-39 , 40-59 , and so on.
b. Compute the row percentages (to 1 decimal).
c. Compute the column percentages (to 1 decimal).
d. What is the relationship, if any, between x and y? Higher values of x are (associated or not associated) with lower values of y? Higher values of y are (associated or not associated) with lower values of x? |
Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.
Given:
| Observation | x | y |
| 1 | 26 | 60 |
| 2 | 20 | 83 |
| 3 | 69 | 59 |
| 4 | 80 | 28 |
| 5 | 35 | 60 |
| 6 | 71 | 21 |
| 7 | 38 | 60 |
| 8 | 11 | 93 |
| 9 | 66 | 44 |
| 10 | 61 | 56 |
| 11 | 20 | 95 |
| 12 | 74 | 22 |
| 13 | 65 | 20 |
| 14 | 18 | 86 |
| 15 | 70 | 29 |
| 16 | 38 | 69 |
| 17 | 33 | 71 |
| 18 | 60 | 70 |
| 19 | 45 | 26 |
| 20 | 39 | 23 |
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