Answer the following problem based on the concept of Linear Correlation and Regression. Do not round off to the process of computing it but on the answers on this, round off your answers based on the instructions given. Use the formula of Pearson for computing the value of r. 1. Police sometimes measure shoe prints at crime scenes so that they can learn a few things about criminals. Listed below are shoe print lengths and heights of females. Is there a sufficient evidence to conclude that there is a linear correlation between shoe print lengths and heights of females. Use alpha = 0.10. Shoe Print (cm) (x) Height (cm) (y) 26.5 167.6 26.0 165.1 27.0 172.7 25.1 157.5 27.9 167.6 a. Based on the problem, what is the value of the Pearson r? [Round off to 4 decimal places.] If the answer is negative, make sure to also include the negative sign. b. Based on the problem, what is the value of computed t? [Round off to 4 decimal places.] If the answer is negative, answer it already as a positive number. c. Based on the problem, what is the value of the tabular value of t? [Type them as a whole at 3 decimal places.]
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 the following problem based on the concept of Linear
Use the formula of Pearson for computing the value of r.
1. Police sometimes measure shoe prints at crime scenes so that they can learn a few things about criminals. Listed below are shoe print lengths and heights of females. Is there a sufficient evidence to conclude that there is a linear correlation between shoe print lengths and heights of females. Use alpha = 0.10.
| Shoe Print (cm) (x) | Height (cm) (y) |
| 26.5 | 167.6 |
| 26.0 | 165.1 |
| 27.0 | 172.7 |
| 25.1 | 157.5 |
| 27.9 | 167.6 |
a. Based on the problem, what is the value of the Pearson r? [Round off to 4 decimal places.] If the answer is negative, make sure to also include the negative sign.
b. Based on the problem, what is the value of computed t? [Round off to 4 decimal places.] If the answer is negative, answer it already as a positive number.
c. Based on the problem, what is the value of the tabular value of t? [Type them as a whole at 3 decimal places.]
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