A researcher was interested in investigating whether the parent-child interaction time (in hours) is a predictor of child’s cognitive development. A sample of 100 children shown cognitive tests score as below. The least-square regression equation is: y’= 54 + 11.5 *x. Note. cognitive test score is denoted as y and the interaction time is denoted as x. 1) Describe the correlation between x and y base on the scatterplot 2) Find the correlation coefficient between x and y. 3) Interpret the intercept and the slop 4) Base on the regression equation, estimate the predicted cognitive level for a child who parent interacts with him 7 hours per day?
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.
A researcher was interested in investigating whether the parent-child interaction time (in hours) is a predictor of child’s cognitive development. A sample of 100 children shown cognitive tests score as below. The least-square regression equation is:
y’= 54 + 11.5 *x.
Note. cognitive test score is denoted as y and the interaction time is denoted as x.
-
1) Describe the
correlation between x and y base on the scatterplot -
2) Find the
correlation coefficient between x and y. -
3) Interpret the intercept and the slop
-
4) Base on the regression equation, estimate the predicted cognitive level for a child who parent interacts with him 7 hours per day?
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