Data on grade point average and IQ were obtained for 12 high school students. Grade Point Average IQ Grade Poiñt Averuge 2.1 116 2.9 126 2.2 129 2.7 122 3.1 123 2.1 114 121 109 2.3 131 3.3 132 3.4 134 3.5 140 2.9 a. Use regression analysis to estimate the effect of IQ on grade point average. Write the equation, t-statistics, and the coefficient of determination. Is the re- sult consistent with your prior expectations? Explain. b. Forecast the grade point average for a student with an IQ of-120 and for a student with an IQ of 150. Which forecast do-you have more confidence
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.
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