1) Write the regression equation.
2) Explain the value of unstandardized B coefficient.
3) Explain the value of standardized B coefficient.
4) What null hypothesis is being tested?
Regression Output - 3
Coefficientsa |
||||||
Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
||
B |
Std. Error |
Beta |
||||
1 |
(Constant) |
15162.617 |
1108.148 |
13.683 |
.000 |
|
Appraised Land Value |
3.496 |
.054 |
.793 |
64.286 |
.000 |
|
a. Dependent Variable: Sale Price |
1. The regression equation is
Sale price = 15162.617 + 3.496 * Appraised Land value
2. The unstandardized B coefficient is 3.496 > 0 therefore there exist positive correlation between appraised land value and sale price
If land value increase 1 unit then sale price also increase 3.496
3. The value of standardized B coefficient is 0.793 it is test statistic of the slope i.e. coefficient of appraised land value
4. H0: The population coefficient of B1 is zero
H1: The population coefficient of B1 is not zero
Let the los be alpha = 5%
P-value = 0.0000 < alpha 0.05 so we reject H0
Thus we conclude that the population coefficient of B1 is not zero
i.e. significant
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