a. Slopes and y-intercepts Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are presented in the following table. Compute the slope and find the Y intercept for each relationship. b. Regression Line & predicting prestige scores For each relationship, state the least-squares regression line. What prestige score would you predict for a son whose father has a prestige score of 72? What prestige score would you predict for a daughter whose father had a prestige score of 72? c. Pearson’s Correlation (r), Explained Variance (r2), & Significance Test For each relationship, compute r and r2. Conduct two five-step significance tests to determine if the findings can be generalized.
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.
From Healy Textbook:
12.2 a-c
a. Slopes and y-intercepts
Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are presented in the following table. Compute the slope and find the Y intercept for each relationship.
b. Regression Line & predicting prestige scores
For each relationship, state the least-squares regression line. What prestige score would you predict for a son whose father has a prestige score of 72? What prestige score would you predict for a daughter whose father had a prestige score of 72?
c. Pearson’s
For each relationship, compute r and r2. Conduct two five-step significance tests to determine if the findings can be generalized.
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