A recent study investigated whether the number of positive health behaviors (e.g., exercising, eating healthy) is predictive of a person's score on a happiness index, such that as positive health behaviors go up, happiness goes up. The results from the study, which was conducted with 12 people, were as follows: r = 0.63 and SSY = 56.0.
A recent study investigated whether the number of positive health behaviors (e.g., exercising, eating healthy) is predictive of a person's score on a happiness index, such that as positive health behaviors go up, happiness goes up. The results from the study, which was conducted with 12 people, were as follows: r = 0.63 and SSY = 56.0.
What type of statistical test should be used to test the hypothesis?
X Y
0 22
3 50
1 35
5 42
2 34
What is the alternative hypothesis in words?
Indicate the degrees of freedom. What is the dfregression? What is the dfresidual?
What is the critical test statistic?
Given information:
The sample size is N = 12.
The correlation coefficient is r = 0.63.
The value of SSY is SSY = 56.
What typo of statistical test should be used:
The investigator is specially interested to test whether the number of positive health behaviors is predictive of a person's score on a happiness index.
To test for the significance of regression model, F-test is used.
What is the alternative hypothesis in words:
Denote β1 as the regression coefficient for the predictor variable x and β0 as the intercept.
The null and alternate hypotheses are stated below:
Null hypothesis H0:
H0: β1 = 0
That is, the regression model is not significant in predicting the response variable.
Alternative hypothesis H1:
H1: β1 ≠ 0
That is, the regression model is significant in predicting the response variable.
Alternative hypothesis: The regression is significant in predicting the response variable.
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