A researcher wants to know if there is a significant correlation between hours spent studying for an exam (X) and exam performance (Y). Level of significance is 0.05, degrees of freedom is 3, and the critical value is 0.878. Interpret the strength and direction of the correlation, calculate and interpret the coefficient of determination, then develop the simple regression equation for the two variables. X (Time Spent Studying in Hours) Y (Exam Performance, 0 to 100) 3 56 6 77 7 79 8 70 11 96 Mean 7.00 75.60 SD 2.92 14.54 For this question, on your hand calculation document clearly state: a) the null hypothesis, b) the alternative hypothesis, c) the alpha level you are using, d) the critical value, e) process for calculating r, f) your decision about the null hypothesis, g) the coefficient of determination, h) and regression equation. This is what I will be marking. You may also enter your responses here, but it is not required. Priority will be given to the hand calculation document.
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 wants to know if there is a significant
|
X (Time Spent Studying in Hours) |
Y (Exam Performance, 0 to 100) |
|
|
3 |
56 |
|
|
6 |
77 |
|
|
7 |
79 |
|
|
8 |
70 |
|
|
11 |
96 |
|
|
Mean |
7.00 |
75.60 |
|
SD |
2.92 |
14.54 |
For this question, on your hand calculation document clearly state: a) the null hypothesis, b) the alternative hypothesis, c) the alpha level you are using, d) the critical value, e) process for calculating r, f) your decision about the null hypothesis, g) the coefficient of determination, h) and regression equation. This is what I will be marking. You may also enter your responses here, but it is not required. Priority will be given to the hand calculation document.
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