Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x=100.74, y=103.1, r=0.906, P-value=0.000, and y=12.63+0.9x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 105? Use a significance level of 0.05.
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.
Suppose IQ scores were obtained for
randomly selected sets of
The
pairs of measurements yield
and
where x represents the IQ score of the
Find the best predicted value of
given that the
has an IQ of
Use a significance level of 0.05.
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