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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.