Do tall people generally have larger feet than short people? Use the data below to answer the ff. Shoe Size Height (inches) Gender Shoe Size Height (inches) Gender 6.5 66.0 F 13.0 77.0 M 9.0 68.0 F 11.5 72.0 M 8.5 64.5 F 8.5 59.0 F 8.5 65.0 M 5.0 62.0 F 10.5 70.0 M 10.0 72.0 M 7.0 64.0 F 6.5 66.0 F 9.5 70.0 F 7.5 64.0 F 9.0 71.0 M 8.5 67.0 M 13.0 72.0 M 10.5 73.0 M 7.5 64.0 F 8.5 69.0 F 10.5 74.5 M 10.5 72.0 M 8.5 67.0 F 11.0 70.0 M 12.0 71.0 M 9.0 69.0 M 10.5 71.0 M 13.0 70.0 M Separate the data in the table above into two tables, one for males and the other for females. Use the male data in answering items (b)-(k). Draw a scatterplot for the data on shoe size and height for males. Does obtaining a regression equation for the data appear reasonable? Explain your answer. Find the regression equation for the data, using shoe size as the predictor variable. Interpret the slope of the regression line.
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.
Do tall people generally have larger feet than short people? Use the data below to answer the ff.
|
Shoe Size |
Height (inches) |
Gender |
Shoe Size |
Height (inches) |
Gender |
|
6.5 |
66.0 |
F |
13.0 |
77.0 |
M |
|
9.0 |
68.0 |
F |
11.5 |
72.0 |
M |
|
8.5 |
64.5 |
F |
8.5 |
59.0 |
F |
|
8.5 |
65.0 |
M |
5.0 |
62.0 |
F |
|
10.5 |
70.0 |
M |
10.0 |
72.0 |
M |
|
7.0 |
64.0 |
F |
6.5 |
66.0 |
F |
|
9.5 |
70.0 |
F |
7.5 |
64.0 |
F |
|
9.0 |
71.0 |
M |
8.5 |
67.0 |
M |
|
13.0 |
72.0 |
M |
10.5 |
73.0 |
M |
|
7.5 |
64.0 |
F |
8.5 |
69.0 |
F |
|
10.5 |
74.5 |
M |
10.5 |
72.0 |
M |
|
8.5 |
67.0 |
F |
11.0 |
70.0 |
M |
|
12.0 |
71.0 |
M |
9.0 |
69.0 |
M |
|
10.5 |
71.0 |
M |
13.0 |
70.0 |
M |
-
- Separate the data in the table above into two tables, one for males and the other for females. Use the male data in answering items (b)-(k).
- Draw a scatterplot for the data on shoe size and height for males.
- Does obtaining a regression equation for the data appear reasonable? Explain your answer.
- Find the regression equation for the data, using shoe size as the predictor variable.
- Interpret the slope of the regression line.
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