Answer all the questions (a) Run a regression of Quiz results on EQR. Formulate a hypothesis test to determine if EQR is a significant factor in determining quiz results. (b) Interpret the above regression (c) Run a regression of Quiz results on EQR, study hours, age and sex. Is this a better or worse model. Explain (d) Are all variables significant determinants? Explain (e) Interpret the regression from part c (f) Run a regression of Quiz results on all the listed variables. Are they all statistically significant? Determine the best model to help predict quiz results. Quiz Results EQR Study Hrs Age Sex BBT MB MC AuHS LM 15 10 3 19 0 0 1 1 0 1 14 15 4 24 0 0 1 0 0 1 9 15 1 20 0 10 1 0 0 1 6 10 3 21 0 0 1 1 0 1 14 15 4 21 0 9 1 0 0 1 12 10 6 21 0 2 0 1 0 1 12 13 2 21 1 8 1 0 0 0 15 15 0 20 0 8 1 0 0 1 12 15 3 20 0 10 1 0 0 1 13 15 0.2 19 0 8 1 0 0 1 15 15 2 20 0 6 1 0 1 1 12 14 5 20 0 5 1 1 1 1 14 15 7 22 0 8 0 0 0 0 7 7 10 21 1 7 0 0 1 0 11 15 5 24 0 0 1 0 0 1 10 10 3 22 1 0 1 0 0 1 13 11 3 23 1 1 1 1 1 1 13 15 2 22 1 8 0 0 0 0 13 12 4 20 1 7 1 0 1 0 13 10 3 20 1 0 1 0 0 1 8 13 5 20 1 8 0 0 0 0 12 13 5 22 0 5 0 0 0 1 13 15 8 22 0 5 0 1 0 1 10 13 4 23 1 7 1 0 0 1 13 13 0.5 20 1 0 0 0 0 0 12 13 0.5 20 1 0 1 0 0 0 15 15 2 21 0 10 1 0 0 1 10 13 6 22 0 6 1 1 0 1 11 8 5 20 0 10 0 0 1 0 12 10 4 19 1 0 1 0 0 1 8 5 2 20 1 0 1 0 1 0 11 13 6 20 1 7.5 1 1 1 1 10 3 12 21 0 4 1 0 1 0 8 11 2 19 0 0 1 0 0 1 15 15 3 23 1 2 1 0 0 1 11 14 1 23 0 10 1 1 1 1 13 14 4 21 1 8 1 0 1 1 9 15 3 22 0 5 1 0 0 0 13 14 4 21 0 9 1 0 0 1 13 15 4 20 0 5 1 0 0 1 11 13 5 20 1 8 0 0 0 0 7 10 3 24 1 5 1 0 1 1 14 15 3 20 0 6 1 0 0 1 13 15 3 20 0 8 0 0 0 0 8 12 0.5 22 1 2 1 1 0 1 8 10 4 19 1 7 0 0 1 1 15 15 3 20 0 7 1 0 0 1 14 14 3 19 0 8 1 0 0 1 7 10 3 21 1 0 0 0 1 0 11 13 2 21 0 7 1 1 0 1 14 15 6 22 0 6 1 0 0 1 9 12 3 21 1 0 1 0 0 1 14 15 2 22 0 5 1 0 0 1 9 8 4 21 0 7 1 0 1 1 15 15 7 20 0 6 1 0 0 1 13 14 3 23 1 4 0 1 0 0 14 15 5 21 0 5 1 0 0 1 12 13 5 19 1 6 1 0 0 0 14 12 2 22 1 10 1 0 0 1 14 13 2 22 0 10 1 0 0 0 11 12 3 22 0 8 1 0 1 1 4 1 9 30 0 10 1 0 1 1 14 15 3 21 1 8 1 0 0 1 15 15 3 20 0 0 0 0 0 0 13 15 3 19 1 7 1 0 0 1 14 15 2 21 1 6 1 0 0 1 8 5 3 20 0 0 1 0 1 1 7 10 9 21 1 0 1 1 0 1 12 14 4 20 0 0 1 0 0 0 6 8 4 21 0 1 1 1 0 0 9 10 5 20 0 2 0 0 1 0 10 13 2 20 1 6 1 1 1 0 10 12 1 25 1 5 1 0 1 1 13 15 2 21 1 3 1 0 0 1 9 8 1 29 0 0 0 1 0 0 12 13 2 19 0 0 1 0 0 1 12 15 3 20 0 0 1 0 0 1 14 12 7 19 0 3 1 0 1 1 8 7 1 19 1 0 0 1 0 0 14 12 1 23 1 6 1 0 1 1 11 9 3 20 1 5 0 1 1 1 13 15 2 21 1 0 1 0 0 1 14 11 2 19 1 9 0 0 0 0 11 14 4 22 1 10 0 0 0 1 10 8 5 20 1 5 0 0 1 1 11 13 1 22 1 2 0 0 0 0 14 15 0.5 20 0 8 1 0 0 0 12 14 15 23 0 0 1 1 0 1 10 12 4 19 1 0 0 1 1 1 14 12 0 20 1 3 1 0 1 1 13 10 2 19 1 0 1 0 1 0 15 12 2 20 1 3 1 0 1 1 8 10 3 19 1 1 1 0 1 1 14 12 5 21 0 0 1 0 0 1 6 10 2 21 1 8 1 0 0 1 8 8 2 21 1 1 1 0 1 1 12 10 2 20 0 7 1 0 1 1 9 6 3 20 0 1 1 1 1 1 7 8 4 19 1 9 1 1 1 0 13 11 6 19 1 6 1 0 0 1 13 10 2 25 1 0 1 0 0 1 14 14 2 25 1 5 1 0 0 0
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.
Answer all the questions
(a) Run a regression of Quiz results on EQR. Formulate a hypothesis test to determine if EQR is a significant factor in determining quiz results.
(b) Interpret the above regression
(c) Run a regression of Quiz results on EQR, study hours, age and sex. Is this a better or worse model. Explain
(d) Are all variables significant determinants? Explain
(e) Interpret the regression from part c
(f) Run a regression of Quiz results on all the listed variables. Are they all statistically significant?
Determine the best model to help predict quiz results.
Quiz Results | EQR | Study Hrs | Age | Sex | BBT | MB | MC | AuHS | LM |
15 | 10 | 3 | 19 | 0 | 0 | 1 | 1 | 0 | 1 |
14 | 15 | 4 | 24 | 0 | 0 | 1 | 0 | 0 | 1 |
9 | 15 | 1 | 20 | 0 | 10 | 1 | 0 | 0 | 1 |
6 | 10 | 3 | 21 | 0 | 0 | 1 | 1 | 0 | 1 |
14 | 15 | 4 | 21 | 0 | 9 | 1 | 0 | 0 | 1 |
12 | 10 | 6 | 21 | 0 | 2 | 0 | 1 | 0 | 1 |
12 | 13 | 2 | 21 | 1 | 8 | 1 | 0 | 0 | 0 |
15 | 15 | 0 | 20 | 0 | 8 | 1 | 0 | 0 | 1 |
12 | 15 | 3 | 20 | 0 | 10 | 1 | 0 | 0 | 1 |
13 | 15 | 0.2 | 19 | 0 | 8 | 1 | 0 | 0 | 1 |
15 | 15 | 2 | 20 | 0 | 6 | 1 | 0 | 1 | 1 |
12 | 14 | 5 | 20 | 0 | 5 | 1 | 1 | 1 | 1 |
14 | 15 | 7 | 22 | 0 | 8 | 0 | 0 | 0 | 0 |
7 | 7 | 10 | 21 | 1 | 7 | 0 | 0 | 1 | 0 |
11 | 15 | 5 | 24 | 0 | 0 | 1 | 0 | 0 | 1 |
10 | 10 | 3 | 22 | 1 | 0 | 1 | 0 | 0 | 1 |
13 | 11 | 3 | 23 | 1 | 1 | 1 | 1 | 1 | 1 |
13 | 15 | 2 | 22 | 1 | 8 | 0 | 0 | 0 | 0 |
13 | 12 | 4 | 20 | 1 | 7 | 1 | 0 | 1 | 0 |
13 | 10 | 3 | 20 | 1 | 0 | 1 | 0 | 0 | 1 |
8 | 13 | 5 | 20 | 1 | 8 | 0 | 0 | 0 | 0 |
12 | 13 | 5 | 22 | 0 | 5 | 0 | 0 | 0 | 1 |
13 | 15 | 8 | 22 | 0 | 5 | 0 | 1 | 0 | 1 |
10 | 13 | 4 | 23 | 1 | 7 | 1 | 0 | 0 | 1 |
13 | 13 | 0.5 | 20 | 1 | 0 | 0 | 0 | 0 | 0 |
12 | 13 | 0.5 | 20 | 1 | 0 | 1 | 0 | 0 | 0 |
15 | 15 | 2 | 21 | 0 | 10 | 1 | 0 | 0 | 1 |
10 | 13 | 6 | 22 | 0 | 6 | 1 | 1 | 0 | 1 |
11 | 8 | 5 | 20 | 0 | 10 | 0 | 0 | 1 | 0 |
12 | 10 | 4 | 19 | 1 | 0 | 1 | 0 | 0 | 1 |
8 | 5 | 2 | 20 | 1 | 0 | 1 | 0 | 1 | 0 |
11 | 13 | 6 | 20 | 1 | 7.5 | 1 | 1 | 1 | 1 |
10 | 3 | 12 | 21 | 0 | 4 | 1 | 0 | 1 | 0 |
8 | 11 | 2 | 19 | 0 | 0 | 1 | 0 | 0 | 1 |
15 | 15 | 3 | 23 | 1 | 2 | 1 | 0 | 0 | 1 |
11 | 14 | 1 | 23 | 0 | 10 | 1 | 1 | 1 | 1 |
13 | 14 | 4 | 21 | 1 | 8 | 1 | 0 | 1 | 1 |
9 | 15 | 3 | 22 | 0 | 5 | 1 | 0 | 0 | 0 |
13 | 14 | 4 | 21 | 0 | 9 | 1 | 0 | 0 | 1 |
13 | 15 | 4 | 20 | 0 | 5 | 1 | 0 | 0 | 1 |
11 | 13 | 5 | 20 | 1 | 8 | 0 | 0 | 0 | 0 |
7 | 10 | 3 | 24 | 1 | 5 | 1 | 0 | 1 | 1 |
14 | 15 | 3 | 20 | 0 | 6 | 1 | 0 | 0 | 1 |
13 | 15 | 3 | 20 | 0 | 8 | 0 | 0 | 0 | 0 |
8 | 12 | 0.5 | 22 | 1 | 2 | 1 | 1 | 0 | 1 |
8 | 10 | 4 | 19 | 1 | 7 | 0 | 0 | 1 | 1 |
15 | 15 | 3 | 20 | 0 | 7 | 1 | 0 | 0 | 1 |
14 | 14 | 3 | 19 | 0 | 8 | 1 | 0 | 0 | 1 |
7 | 10 | 3 | 21 | 1 | 0 | 0 | 0 | 1 | 0 |
11 | 13 | 2 | 21 | 0 | 7 | 1 | 1 | 0 | 1 |
14 | 15 | 6 | 22 | 0 | 6 | 1 | 0 | 0 | 1 |
9 | 12 | 3 | 21 | 1 | 0 | 1 | 0 | 0 | 1 |
14 | 15 | 2 | 22 | 0 | 5 | 1 | 0 | 0 | 1 |
9 | 8 | 4 | 21 | 0 | 7 | 1 | 0 | 1 | 1 |
15 | 15 | 7 | 20 | 0 | 6 | 1 | 0 | 0 | 1 |
13 | 14 | 3 | 23 | 1 | 4 | 0 | 1 | 0 | 0 |
14 | 15 | 5 | 21 | 0 | 5 | 1 | 0 | 0 | 1 |
12 | 13 | 5 | 19 | 1 | 6 | 1 | 0 | 0 | 0 |
14 | 12 | 2 | 22 | 1 | 10 | 1 | 0 | 0 | 1 |
14 | 13 | 2 | 22 | 0 | 10 | 1 | 0 | 0 | 0 |
11 | 12 | 3 | 22 | 0 | 8 | 1 | 0 | 1 | 1 |
4 | 1 | 9 | 30 | 0 | 10 | 1 | 0 | 1 | 1 |
14 | 15 | 3 | 21 | 1 | 8 | 1 | 0 | 0 | 1 |
15 | 15 | 3 | 20 | 0 | 0 | 0 | 0 | 0 | 0 |
13 | 15 | 3 | 19 | 1 | 7 | 1 | 0 | 0 | 1 |
14 | 15 | 2 | 21 | 1 | 6 | 1 | 0 | 0 | 1 |
8 | 5 | 3 | 20 | 0 | 0 | 1 | 0 | 1 | 1 |
7 | 10 | 9 | 21 | 1 | 0 | 1 | 1 | 0 | 1 |
12 | 14 | 4 | 20 | 0 | 0 | 1 | 0 | 0 | 0 |
6 | 8 | 4 | 21 | 0 | 1 | 1 | 1 | 0 | 0 |
9 | 10 | 5 | 20 | 0 | 2 | 0 | 0 | 1 | 0 |
10 | 13 | 2 | 20 | 1 | 6 | 1 | 1 | 1 | 0 |
10 | 12 | 1 | 25 | 1 | 5 | 1 | 0 | 1 | 1 |
13 | 15 | 2 | 21 | 1 | 3 | 1 | 0 | 0 | 1 |
9 | 8 | 1 | 29 | 0 | 0 | 0 | 1 | 0 | 0 |
12 | 13 | 2 | 19 | 0 | 0 | 1 | 0 | 0 | 1 |
12 | 15 | 3 | 20 | 0 | 0 | 1 | 0 | 0 | 1 |
14 | 12 | 7 | 19 | 0 | 3 | 1 | 0 | 1 | 1 |
8 | 7 | 1 | 19 | 1 | 0 | 0 | 1 | 0 | 0 |
14 | 12 | 1 | 23 | 1 | 6 | 1 | 0 | 1 | 1 |
11 | 9 | 3 | 20 | 1 | 5 | 0 | 1 | 1 | 1 |
13 | 15 | 2 | 21 | 1 | 0 | 1 | 0 | 0 | 1 |
14 | 11 | 2 | 19 | 1 | 9 | 0 | 0 | 0 | 0 |
11 | 14 | 4 | 22 | 1 | 10 | 0 | 0 | 0 | 1 |
10 | 8 | 5 | 20 | 1 | 5 | 0 | 0 | 1 | 1 |
11 | 13 | 1 | 22 | 1 | 2 | 0 | 0 | 0 | 0 |
14 | 15 | 0.5 | 20 | 0 | 8 | 1 | 0 | 0 | 0 |
12 | 14 | 15 | 23 | 0 | 0 | 1 | 1 | 0 | 1 |
10 | 12 | 4 | 19 | 1 | 0 | 0 | 1 | 1 | 1 |
14 | 12 | 0 | 20 | 1 | 3 | 1 | 0 | 1 | 1 |
13 | 10 | 2 | 19 | 1 | 0 | 1 | 0 | 1 | 0 |
15 | 12 | 2 | 20 | 1 | 3 | 1 | 0 | 1 | 1 |
8 | 10 | 3 | 19 | 1 | 1 | 1 | 0 | 1 | 1 |
14 | 12 | 5 | 21 | 0 | 0 | 1 | 0 | 0 | 1 |
6 | 10 | 2 | 21 | 1 | 8 | 1 | 0 | 0 | 1 |
8 | 8 | 2 | 21 | 1 | 1 | 1 | 0 | 1 | 1 |
12 | 10 | 2 | 20 | 0 | 7 | 1 | 0 | 1 | 1 |
9 | 6 | 3 | 20 | 0 | 1 | 1 | 1 | 1 | 1 |
7 | 8 | 4 | 19 | 1 | 9 | 1 | 1 | 1 | 0 |
13 | 11 | 6 | 19 | 1 | 6 | 1 | 0 | 0 | 1 |
13 | 10 | 2 | 25 | 1 | 0 | 1 | 0 | 0 | 1 |
14 | 14 | 2 | 25 | 1 | 5 | 1 | 0 | 0 | 0 |
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