91Ó°ÊÓ

To Identify its distribution of $z=\frac{b_1-{\mathrm{β}}_1}{\mathrm{σ}/\sqrt{S_u}}$

The given value of the standardized variable as follows:

$z=\frac{b_1-{\mathrm{β}}_1}{\mathrm{σ}/\sqrt{S_u}}$

Since its mean is ${\mathrm{β}}_1$and its standard deviation is $\frac{\mathrm{σ}}{S_{xx}}$, the distribution of slopes of all feasible sample regression lines.

The slopes of all possible sample regression lines have a normal distribution.

To find that the value $z=\frac{b_1-{\mathrm{β}}_1}{\mathrm{σ}/\sqrt{S_u}}$ can't it be used as the test statistic for a hypothesis test concerning.

The given value of the standardized variable as follows:

$z=\frac{b_1-{\mathrm{β}}_1}{\mathrm{σ}/\sqrt{S_u}}$
Here the value of $\mathrm{σ}$ is unknown.

To explain the statistic is used and the distribution of the statistic.

The given value of the standardized variable as follows:

$z=\frac{b_1-{\mathrm{β}}_1}{\mathrm{σ}/\sqrt{S_u}}$

The estimate's standard error, which has a $t$-distribution, is used.
As a result, the estimate's standard error, or $t$-distribution