STUDENT ID SLEEP (x) HOMEWORK (y) 1 360 30 2 400 45 3 420 60 4 440 15 5 540 75 6 480 120 7 320 80 8 440 60 9 300 90 10 420 30 11 500 60 12 400 20
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.
|
STUDENT ID |
SLEEP (x) |
HOMEWORK (y) |
|
1 |
360 |
30 |
|
2 |
400 |
45 |
|
3 |
420 |
60 |
|
4 |
440 |
15 |
|
5 |
540 |
75 |
|
6 |
480 |
120 |
|
7 |
320 |
80 |
|
8 |
440 |
60 |
|
9 |
300 |
90 |
|
10 |
420 |
30 |
|
11 |
500 |
60 |
|
12 |
400 |
20 |
|
13 |
440 |
60 |
|
14 |
300 |
30 |
|
15 |
360 |
80 |
|
16 |
480 |
100 |
|
17 |
410 |
25 |
|
18 |
430 |
15 |
|
19 |
330 |
60 |
|
20 |
480 |
30 |
Calculate the simple linear regression to determine the amount of time spent on homework can be predicted by amount of sleep. Graph the relationship and determine, numerically, if there are any outliers. In a paragraph, interpret all results.
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