The relationship between IQ level and exam score was estimated as below in a linear format. (IQ level and exam scores are both measured in points) Exam score = 1.38 * IQ level - 67.43 (The p-value for the coefficient of IQ level is 0.04.) Base on the above equation, which of the following statements are true? (Select all that apply. There can be more than one answer.) The expected exam score of a person with an IQ level of 100 points is 70.57 The expected exam score of a person with an IQ level of 0 points is 1.38 points As a person’s IQ level increases by 1 point, his or her exam score is expected to increase by 1.38
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.
The relationship between IQ level and exam score was estimated as below in a linear format.
(IQ level and exam scores are both measured in points)
Exam score = 1.38 * IQ level - 67.43
(The p-value for the coefficient of IQ level is 0.04.)
Base on the above equation, which of the following statements are true? (Select all that apply. There can be more than one answer.)
- The expected exam score of a person with an IQ level of 100 points is 70.57
- The expected exam score of a person with an IQ level of 0 points is 1.38 points
- As a person’s IQ level increases by 1 point, his or her exam score is expected to increase by 1.38
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