To test if people are discriminated based on their height, the researchers collect data for Ontario nurses. The data below show the monthly salary and height for the nurses. Monthly Salary [thousands] Height [in cm] 70.434 164 85.039 169 69.100 162 85.500 170 68.300 69.444 87.030 167 160 172 Compute Pearson correlation coefficient and test the hypotheses about the relationship between height and salary and clearly state your findings. Find the coefficient of determination and clearly state the meaning referring to the provided research scenario Find the regression equation for predicting Salary from Height. Clearly state the meaning of the slope and the intercept referring to the provided research scenario.
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.
To test if people are discriminated based on their height, the researchers collect data for Ontario nurses. The data below show the monthly salary and height for the nurses.
| Monthly Salary [thousands] |
Height [in cm] |
|
70.434 |
164 |
|
85.039 |
169 |
|
69.100 |
162 |
|
85.500 |
170 |
|
68.300 69.444 87.030 |
167 160 172 |
Compute Pearson
Find the regression equation for predicting Salary from Height. Clearly state the meaning of the slope and the intercept referring to the provided research scenario.
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