Determine if the correlation beween the two given variables is likely to be positive or negative, or if they are not likely to display a limear relationship: The decibel level of a sound and the distance at which it can be heard. Is it positive, negative or no correlation? The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams. Hours spent sudying 1 2 2.5 3 4 5 5.5 Midterm grades 60 63 72 81 84 90 93 Calculate the correlation coefficient, r. Round your answer to six decimal places. Determine if r is statistically significant at the 0.01 level. Calculate the coefficient of determination, r2 (to the second power). Round your answer to three decimal places. The following data gives the number of hours 5 students spent studying and their corresponding grades on their midterm exams. Hours spent studying 0 1 2 4 5 Midterm grades 66 75 78 84 96 Calculate the coefficient of determination, r2 (to the second power). Round your answer to three decimal places.
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.
Determine if the
The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams.
| Hours spent sudying | 1 | 2 | 2.5 | 3 | 4 | 5 | 5.5 |
| Midterm grades | 60 | 63 | 72 | 81 | 84 | 90 | 93 |
Calculate the
Determine if r is statistically significant at the 0.01 level.
Calculate the coefficient of determination, r2 (to the second power). Round your answer to three decimal places.
The following data gives the number of hours 5 students spent studying and their corresponding grades on their midterm exams.
| Hours spent studying | 0 | 1 | 2 | 4 | 5 | ||
| Midterm grades | 66 | 75 | 78 | 84 | 96 |
Calculate the coefficient of determination, r2 (to the second power). Round your answer to three decimal places.
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