Is there a direct or indirect relationship between Grades and number of hours reading? Is it weak or strong? Find and interpret the correlation coefficient What is the linear regression model?
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.
Please show work in excel
Mrs. Rio is an English professor at Pasadena City College who wants to see if there is a relationship between the students' grades and the hours they spend reading daily.
|
Number of Students |
Grade |
Hours spend Reading (Daily) |
|
1 |
79 |
2 |
|
2 |
32 |
0 |
|
3 |
89 |
3 |
|
4 |
100 |
5 |
|
5 |
84 |
4 |
|
6 7 |
90 66 |
5 2 |
|
7 |
79 |
4 |
|
8 |
56 |
5 |
|
9 |
77 |
5 |
|
10 |
88 |
3 |
- Is there a direct or indirect relationship between Grades and number of hours reading? Is it weak or strong?
- Find and interpret the
correlation coefficient - What is the linear regression model?
- Predict the grade for a student who read 3.5 hours
- At 6% level of significant, can we predict that there is a significant relationship between grades and number of hours reading?
- What percent of the variation in grades is accounted for by hours spent reading?
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