Use the following table to calculate the simple linear regression to determine if 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. Interpret all results in a paragraph citing the appropriate statistics. Show all work [edit] ID School Enrolled Months Enrolled Birthday Month Distance to Work (whole miles) Height (whole inches) Foot Size (whole inches) Hand Size (whole inches) Sleep (minutes) Homework (minutes) 1 Arts and Sciences 12 January 0 60 8 5 360 30 2 Applied Science and Technology 6 February 0 62 7 6 400 45 3 Business and Management 8 April 5 66 10 7 420 60 4 Nursing 10 June 10 68 12 8 440 15 5 Public Service 48 July 15 68 14 8 540 75 6 Arts and Sciences 48 June 30 70 12 9 480 120 7 Applied Science and Technology 36 October 32 72 11 8 320 80 8 Applied Science and Technology 32 November 36 75 14 7 440 60 9 Applied Science and Technology 3 February 13 73 11 8 480 45 10 Applied Science and Technology 4 June 1 63 8 6 480 180 11 Applied Science and Technology 6 September 20 65 10 8 360 60 12 Applied Science and Technology 15 October 0 67 10 7 420 180 13 Applied Science and Technology 12 May 20 74 11 8 360 180 14 Arts and Sciences 18 November 19 60 8 6 480 180 15 Applied Science and Technology 18 July 6 70 9 7 540 180 16 Applied Science and Technology 30 August 10 72 10 7 480 180 17 Arts and Sciences 9 August 2 65 9 7 480 180 18 Applied Science and Technology 18 November 38 72 12 7 420 120 19 Arts and Sciences 50 May 3 63 8 6 420 60 20 Applied Science and Technology 6 August 16 62 9 7 480 120 21 Business and Management 3 April 6 62 8 7 420 60 22 Applied Science and Technology 5 July 0 72 10 7 510 100 23 Arts and Sciences 3 March 7 67 10 7 420 60 24 Applied Science and Technology 6 November 10 72 10 8 360 60 25 Applied Science and Technology 1 July 1 76 13 9 330 180 26 Applied Science and Technology
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.
Use the following table to calculate the simple linear regression to determine if 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. Interpret all results in a paragraph citing the appropriate statistics. Show all work
[edit]
|
ID |
School Enrolled |
Months Enrolled |
Birthday Month |
Distance to Work (whole miles) |
Height (whole inches) |
Foot Size (whole inches) |
Hand Size (whole inches) |
Sleep (minutes) |
Homework (minutes) |
||
|
1 |
Arts and Sciences |
12 |
January |
0 |
60 |
8 |
5 |
360 |
30 |
||
|
2 |
Applied Science and Technology |
6 |
February |
0 |
62 |
7 |
6 |
400 |
45 |
||
|
3 |
Business and Management |
8 |
April |
5 |
66 |
10 |
7 |
420 |
60 |
||
|
4 |
Nursing |
10 |
June |
10 |
68 |
12 |
8 |
440 |
15 |
||
|
5 |
Public Service |
48 |
July |
15 |
68 |
14 |
8 |
540 |
75 |
||
|
6 |
Arts and Sciences |
48 |
June |
30 |
70 |
12 |
9 |
480 |
120 |
||
|
7 |
Applied Science and Technology |
36 |
October |
32 |
72 |
11 |
8 |
320 |
80 |
||
|
8 |
Applied Science and Technology |
32 |
November |
36 |
75 |
14 |
7 |
440 |
60 |
||
|
9 |
Applied Science and Technology |
3 |
February |
13 |
73 |
11 |
8 |
480 |
45 |
||
|
10 |
Applied Science and Technology |
4 |
June |
1 |
63 |
8 |
6 |
480 |
180 |
||
|
11 |
|
6 |
September |
20 |
65 |
10 |
8 |
360 |
60 |
||
|
12 |
Applied Science and Technology |
15 |
October |
0 |
67 |
10 |
7 |
420 |
180 |
||
|
13 |
Applied Science and Technology |
12 |
May |
20 |
74 |
11 |
8 |
360 |
180 |
||
|
14 |
Arts and Sciences |
18 |
November |
19 |
60 |
8 |
6 |
480 |
180 |
||
|
15 |
Applied Science and Technology |
18 |
July |
6 |
70 |
9 |
7 |
540 |
180 |
||
|
16 |
Applied Science and Technology |
30 |
August |
10 |
72 |
10 |
7 |
480 |
180 |
||
|
17 |
Arts and Sciences |
9 |
August |
2 |
65 |
9 |
7 |
480 |
180 |
||
|
18 |
|
18 |
|
38 |
72 |
12 |
7 |
420 |
120 |
||
|
19 |
Arts and Sciences |
50 |
May |
3 |
63 |
8 |
6 |
420 |
60 |
||
|
20 |
Applied Science and Technology |
6 |
August |
16 |
62 |
9 |
7 |
480 |
120 |
||
|
21 |
Business and Management |
3 |
April |
6 |
62 |
8 |
7 |
420 |
60 |
||
|
22 |
Applied Science and Technology |
5 |
July |
0 |
72 |
10 |
7 |
510 |
100 |
||
|
23 |
Arts and Sciences |
3 |
March |
7 |
67 |
10 |
7 |
420 |
60 |
||
|
24 |
Applied Science and Technology |
6 |
November |
10 |
72 |
10 |
8 |
360 |
60 |
||
|
25 |
Applied Science and Technology |
1 |
July |
1 |
76 |
13 |
9 |
330 |
180 |
||
|
26 |
Applied Science and Technology |
4 |
December |
0 |
66 |
10 |
8 |
480 |
120 |
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