Regression of height of children: 1. Y = 24.53 + 0.6377x Mean of height of children: 68.09 Mean height of adults: 68.3 Height of Children measured in terms of deviations from its mean: 2. Y = -0.00001 + 0.6377X Now Answer: If a person’s parents are 3 inches above average height, do you predict their children to be above or below average height? And how many inches above or below average height? If a person’s parents are 3 inches below average height, do you predict their children to be above or below average height? And how many inches above or below average height? The term “regression to the mean” comes from Galton’s work. Why do you think that term is appropriate in the context of this problem? Use the F statistic to test the hypothesis that there is no relation between the heights of children and the heights of their parents at the 5% level of significance. Do you reject this hypothesis or not? If you reject the hypothesis in the previous question, what is the probability that you are committing a Type I error (i.e., what is the probability of a false positive)?
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.
Here is the info you need:
Regression of height of children:
1. Y = 24.53 + 0.6377x
Mean height of adults: 68.3
Height of Children measured in terms of deviations from its mean:
2. Y = -0.00001 + 0.6377X
Now Answer:
- If a person’s parents are 3 inches above average height, do you predict their children to be above or below average height? And how many inches above or below average height?
- If a person’s parents are 3 inches below average height, do you predict their children to be above or below average height? And how many inches above or below average height?
- The term “regression to the mean” comes from Galton’s work. Why do you think that term is appropriate in the context of this problem?
- Use the F statistic to test the hypothesis that there is no relation between the heights of children and the heights of their parents at the 5% level of significance. Do you reject this hypothesis or not?
- If you reject the hypothesis in the previous question, what is the probability that you are committing a Type I error (i.e., what is the probability of a false positive)?
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