ociologists argued that women on average earn less than men as women often choose to work less hours. They further suggest that the choice of hours worked may be driven by various factors such as age, childcare needs, occupation choice and flexibility. To investigate the relation between hours worked and income earned by Australian men and women, a researcher plans to survey a sample of individuals across the country. Briefly explain a) What type of survey method the researcher could use and why? b) What sampling method could the researcher use to select his/her sample and why? c) What are the two main variables the researcher should consider collecting data for the purpose of the above analysis and why? Identify the data type(s) for the variables. d) What kind of issues the researcher may face in this data collection?
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.
ociologists argued that women on average earn less than men as women often choose to work less hours. They further suggest that the choice of hours worked may be driven by various factors such as age, childcare needs, occupation choice and flexibility. To investigate the relation between hours worked and income earned by Australian men and women, a researcher plans to survey a sample of individuals across the country. Briefly explain
a) What type of survey method the researcher could use and why?
b) What sampling method could the researcher use to select his/her sample and why?
c) What are the two main variables the researcher should consider collecting data for the purpose of the above analysis and why? Identify the data type(s) for the variables.
d) What kind of issues the researcher may face in this data collection?
Suppose a researcher has collected data from a sample of 65 individuals using the sampling method you have proposed in (b). For each individual, the hours worked per week and yearly income (measured in '000's dollars) were recorded.
| Hours Per Week | Yearly Income ('000's) |
| 18 | 43.8 |
| 13 | 44.5 |
| 18 | 44.8 |
| 25.5 | 46.0 |
| 11.5 | 41.2 |
| 18 | 43.3 |
| 16 | 43.6 |
| 27 | 46.2 |
| 27.5 | 46.8 |
| 30.5 | 48.2 |
| 24.5 | 49.3 |
| 32.5 | 53.8 |
| 25 | 53.9 |
| 23.5 | 54.2 |
| 30.5 | 50.5 |
| 27.5 | 51.2 |
| 28 | 51.5 |
| 26 | 52.6 |
| 25.5 | 52.8 |
| 26.5 | 52.9 |
| 33 | 49.5 |
| 15 | 49.8 |
| 27.5 | 50.3 |
| 36 | 54.3 |
| 27 | 55.1 |
| 34.5 | 55.3 |
| 39 | 61.7 |
| 37 | 62.3 |
| 31.5 | 63.4 |
| 37 | 63.7 |
| 24.5 | 55.5 |
| 28 | 55.6 |
| 19 | 55.7 |
| 38.5 | 58.2 |
| 37.5 | 58.3 |
| 18.5 | 58.4 |
| 32 | 59.2 |
| 35 | 59.3 |
| 36 | 59.4 |
| 39 | 60.5 |
| 24.5 | 56.7 |
| 26 | 57.8 |
| 38 | 63.8 |
| 44.5 | 64.2 |
| 34.5 | 55.8 |
| 34.5 | 56.2 |
| 40 | 64.3 |
| 41.5 | 64.5 |
| 34.5 | 64.7 |
| 42.3 | 66.1 |
| 34.5 | 72.3 |
| 28 | 73.2 |
| 38 | 74.2 |
| 31.5 | 68.5 |
| 36 | 69.7 |
| 37.5 | 71.2 |
| 22 | 66.3 |
| 33.5 | 66.5 |
| 37 | 66.7 |
| 43.5 | 74.8 |
| 20 | 62.0 |
| 35 | 57.3 |
| 24 | 55.3 |
| 20 | 56.1 |
| 41 | 61.5 |
Please solve part D for this question.
Thanks
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