Q4. Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable) and X (independent variable). ANOVA df SS Regression 1 115.064 Residual 13 82.936 Total Coefficients Standard Error Intercept 15.532 1.457 x -1.106 0.261 Perform a t test using the p-value approach and determine whether or not Y and X are related. Let a = 0.05. Formulate the null and alternative hypotheses Select the significance level Select the test statistic and calculate its value. Identify p-value/critical value for the test statistics and state the decision rule Compare calculated/p-value and critical/al[ha values and reach a conclusion about the null hypothesis
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.
Q4. Shown below is a portion of a computer output for a
|
ANOVA |
|
|
|
|
df |
SS |
|
Regression |
1 |
115.064 |
|
Residual |
13 |
82.936 |
|
Total |
|
|
|
|
|
|
|
|
Coefficients |
Standard Error |
|
Intercept |
15.532 |
1.457 |
|
x |
-1.106 |
0.261 |
Perform a t test using the p-value approach and determine whether or not Y and X are related. Let a = 0.05.
- Formulate the null and alternative hypotheses
- Select the significance level
- Select the test statistic and calculate its value.
- Identify p-value/critical value for the test statistics and state the decision rule
- Compare calculated/p-value and critical/al[ha values and reach a conclusion about the null hypothesis
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