A psychologist wanted to know if there is a correlation between the number of hours a child plays video games per day and their IQ score (where 100 is average). The following data was taken from 15 children: # hours playing video games IQ score 0 90 0 89 1 125 2 105 2 92 3 98 3 100 4 105 5 88 7 75 9 110 10 100 10 95 11 97 12 111 a. Use the four steps of hypothesis testing and calculate a Pearson correlation for the above data, starting with the hypotheses. b. Find critical value at an alpha level at α=.05, two tailed. c. Include the coefficient of determination with a sentence explaining the outcome of both calculations in APA format. d. Create a scatter plot by hand of the above data set
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 psychologist wanted to know if there is a
| # hours playing video games | IQ score |
| 0 | 90 |
| 0 | 89 |
| 1 | 125 |
| 2 | 105 |
| 2 | 92 |
| 3 | 98 |
| 3 | 100 |
| 4 | 105 |
| 5 | 88 |
| 7 | 75 |
| 9 | 110 |
| 10 | 100 |
| 10 | 95 |
| 11 | 97 |
| 12 | 111 |
a. Use the four steps of hypothesis testing and calculate a Pearson correlation for the above data, starting with the hypotheses.
b. Find critical value at an alpha level at α=.05, two tailed.
c. Include the coefficient of determination with a sentence explaining the outcome of both calculations in APA format.
d. Create a
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