2. A mathematics teacher recorded the length of time in minute, taken by the students to submit their final year assessment worksheet and their respective performance marks. The results are as follows Table 8 | 45 | Time Performance Mark 30 35 55 69 40 33 55 42 87 75 63 98 77 a. What procedure is being used? b. Compute the correlation coefficient between the length of time taken by students to submit their final year assessment worksheet and their respective performance. c. At 5% significance level, is the correlation between the length of time taken by students to submit their final year assessment worksheet and their respective performance significant? d. Describe the relationship between the length of time taken by students to submit their final year assessment worksheet and their respective performance.
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.
![2. A mathematics teacher recorded the length of time in minute, taken by the students
to submit their final year assessment worksheet and their respective performance
marks. The results are as follows
Table 8
Time
40 33 55 42
30 35
55 69
45
Performance Mark
87
75 63 98 77
a.
What procedure is being used?
b. Compute the correlation coefficient between the length of time taken by students
to submit their final year assessment worksheet and their respective
performance.
c. At 5% significance level, is the correlation between the length of time taken by
students to submit their final year assessment worksheet and their respective
performance significant?
d. Describe the relationship between the length of time taken by students to submit
their final year assessment worksheet and their respective performance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F154263d6-dfda-41b7-9ebb-ead27a325e36%2F80d35feb-17d3-4ade-9dfc-bd5289ec6aac%2F6n413nw_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 5 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)