Computer output for fitting a simple linear model is given below. State the value of the sample slope for this model and give the null and alternative hypotheses for testing if the slope in the population is different from zero. Identify the p-value and use it (and a 5% significance level) to make a clear conclusion about the effectiveness of the model. The regression equation is Y=81.1-0.0116X. Predictor Coef SE Coef T P Constant 81.14 11.64 6.97 0.000 X -0.01158 0.00965 -1.20 0.245 Sample slope: Enter your answer; sample slope p-value: Enter your answer; p-value
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.
Computer output for fitting a simple linear model is given below. State the value of the sample slope for this model and give the null and alternative hypotheses for testing if the slope in the population is different from zero. Identify the p-value and use it (and a 5% significance level) to make a clear conclusion about the effectiveness of the model.
The regression equation is Y=81.1-0.0116X.
| Predictor | Coef | SE Coef | T | P |
|---|---|---|---|---|
| Constant | 81.14 | 11.64 | 6.97 | 0.000 |
| X | -0.01158 | 0.00965 | -1.20 | 0.245 |
Sample slope: Enter your answer; sample slope
p-value: Enter your answer; p-value
Does X appear to be an effective predictor of the response variable Y?
Choose the answer from the menu; Is the model effective?
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