Using the following information: Coefficients Intercept -12.8094 Independent var
ID: 3359237 • Letter: U
Question
Using the following information:
Coefficients
Intercept
-12.8094
Independent variable
2.1794
ANOVA
df
SS
MS
F
Regression
1
12323.56
12323.56
90.0481
Residual
8
1094.842
136.8550
Total
9
13418.4
The regression analysis can be summarized as follows:
No significant relationship exists between the variables.
A significant negative relationship exists between the variables.
A significant positive relationship exists between the variables.
For every unit increase in X, Y decreases by 12.8094.
Coefficients
Intercept
-12.8094
Independent variable
2.1794
Explanation / Answer
Here F test statistics is
F = 90.0481
The degree of freedom of numerator is
df1 = 1
The degree of freedom of denominator is
df2 = 8
The p-value of F test statistics is: 0.0000
Since p-value is less than 0.01 so there is a signficant relationship between the variables.
Since slope is positive so relationship between the variables is positive.
That is correct option is:
A significant positive relationship exists between the variables.
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