The UWI student association published an evaluation of the courses taught during Semester 1 of AY2020/21. Students in each course completed an evaluation in which they rated a number of different aspects of the course on a 5-point scale (1= very bad to 5=excellent)”. Five variables obtained are: Rating – overall rating of the course. CC – rating of teaching skills of the CC. Assessments – quality of assessments given. Knowledge – rating of the instructor’s knowledge of the material. Grade - student’s anticipated grade for the course (1=F to 5=A). Rating CC Assessments Knowledge Grade 4.5 3.4 3.9 2.9 4.5 2.8 4.1 3.2 3.8 3.7 3.9 4.5 3.0 3.2 3.8 5.0 4.8 3.9 3.9 3.4 1.8 3.1 1.2 2.8 2.7 3.4 2.5 4.0 3.6 4.2 4.7 4.7 4.0 3.2 3.8 2.2 3.8 2.8 2.7 4.5 3.8 4.4 4.5 3.9 4.7 4.6 4.5 4.7 4.6 4.1 3.2 2.7 3.1 3.2 3.8 3.1 3.9 4.4 3.3 3.5 4.8 4.6 3.7 5.0 3.6 3.7 3.5 4.2 3.1 4.1 4.0 4.7 3.7 4.2 3.8 4.6 4.5 4.7 4.6 4.1 3.2 2.7 3.1 3.2 3.8 3.1 3.9 4.4 3.3 3.5 4.8 4.6 3.7 5.0 3.6 3.7 3.5 4.2 3.1 4.1 (d) At the 5% significance level, does it appear that CC, assessment or knowledge can be removed from the model as unnecessary? In responding, construct and test any appropriate hypothesis.
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.
The UWI student association published an evaluation of the courses taught during Semester 1 of AY2020/21. Students in each course completed an evaluation in which they rated a number of different aspects of the course on a 5-point scale (1= very bad to 5=excellent)”. Five variables obtained are: Rating – overall rating of the course. CC – rating of teaching skills of the CC. Assessments – quality of assessments given. Knowledge – rating of the instructor’s knowledge of the material. Grade - student’s anticipated grade for the course (1=F to 5=A).
|
Rating |
CC |
Assessments |
Knowledge |
Grade |
|
4.5 |
3.4 |
3.9 |
2.9 |
4.5 |
|
2.8 |
4.1 |
3.2 |
3.8 |
3.7 |
|
3.9 |
4.5 |
3.0 |
3.2 |
3.8 |
|
5.0 |
4.8 |
3.9 |
3.9 |
3.4 |
|
1.8 |
3.1 |
1.2 |
2.8 |
2.7 |
|
3.4 |
2.5 |
4.0 |
3.6 |
4.2 |
|
4.7 |
4.7 |
4.0 |
3.2 |
3.8 |
|
2.2 |
3.8 |
2.8 |
2.7 |
4.5 |
|
3.8 |
4.4 |
4.5 |
3.9 |
4.7 |
|
4.6 |
4.5 |
4.7 |
4.6 |
4.1 |
|
3.2 |
2.7 |
3.1 |
3.2 |
3.8 |
|
3.1 |
3.9 |
4.4 |
3.3 |
3.5 |
|
4.8 |
4.6 |
3.7 |
5.0 |
3.6 |
|
3.7 |
3.5 |
4.2 |
3.1 |
4.1 |
|
4.0 |
4.7 |
3.7 |
4.2 |
3.8 |
|
4.6 |
4.5 |
4.7 |
4.6 |
4.1 |
|
3.2 |
2.7 |
3.1 |
3.2 |
3.8 |
|
3.1 |
3.9 |
4.4 |
3.3 |
3.5 |
|
4.8 |
4.6 |
3.7 |
5.0 |
3.6 |
|
3.7 |
3.5 |
4.2 |
3.1 |
4.1 |
(d) At the 5% significance level, does it appear that CC, assessment or knowledge can be removed from the model as unnecessary? In responding, construct and test any appropriate hypothesis.
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