A researcher was interested in investigating whether the parent-child interaction time (in hours) is a predictor of a child's cognitive development. A sample of 9 children shown their parent-child interaction time and cognitive tests scores as below. 1) Create a scatterplot between the parent-child interaction times and child’s cognitive test scores and describe the correlation base on the scatterplot. 2) Calculate the correlation coefficient between the parent-child interaction times and the child's cognitive test scores. (show the formula and the calculation steps with a chart that was used in class) 3) Find the least-squares regression equation using parent-child interaction time to predict a child's cognitive test score. (show the formula and calculation steps) 4) Base on the regression equation, estimate the predicted cognitive level for a child whose parent interacts with him 6 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 a child's cognitive development. A sample of 9 children shown their parent-child interaction time and cognitive tests scores as below.
1) Create a scatterplot between the parent-child interaction times and child’s cognitive test scores and describe the
2) Calculate the
3) Find the least-squares regression equation using parent-child interaction time to predict a child's cognitive test score. (show the formula and calculation steps)
4) Base on the regression equation, estimate the predicted cognitive level for a child whose parent interacts with him 6 hours per day?
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