91影视

${\mathbf{H}}_{\mathbf{0}}\mathbf{:}{\mathbf{尾}}_{\mathbf{1}}\mathbf{=}{\mathbf{尾}}_{\mathbf{2}}\mathbf{=}\mathbf{0}$

${\mathbf{H}}_{\mathbf{a}}\mathbf{:}$At least one of the parameters${\mathbf{尾}}_{\mathbf{1}}$or${\mathbf{尾}}_{\mathbf{2}}$is non zero

Here, F test statistic$\mathbf{=}\frac{\mathbf{SSE}}{\mathbf{n}\mathbf{-}\left(\mathbf{K}\mathbf{+}\mathbf{1}\right)}\mathbf{=}\frac{\mathbf{2}\mathbf{.}\mathbf{63}}{\mathbf{17}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{1547}$

${\mathbf{H}}_{\mathbf{0}}$is rejected if F 鈥� statistics < ${\mathbf{F}}_{\mathbf{0}\mathbf{.}\mathbf{05}\mathbf{,}\mathbf{20}\mathbf{,}\mathbf{20}}$. For $\mathbf{伪}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{05}$, since F 鈥� statistic <${\mathbf{F}}_{\mathbf{0}\mathbf{.}\mathbf{05}\mathbf{,}\mathbf{20}\mathbf{,}\mathbf{20}}$

Sufficient evidence to reject ${\mathbf{H}}_{\mathbf{0}}$at 95% confidence interval.

Therefore, ${\mathbf{尾}}_{\mathbf{1}}鈮�{\mathbf{尾}}_{\mathbf{2}}鈮�\mathbf{0}$.

To check the curvature of the hyperbola, the null hypothesis is whether the model parameter${\mathbf{尾}}_{\mathbf{2}}$is explaining the model where the beta value is zero and the alternate hypothesis is whether the beta value is greater than zero to check whether the hyperbola slopes upwards.

Mathematically,

$$\begin{gathered} {\mathbf{H}}_{\mathbf{0}}\mathbf{:}{\mathbf{尾}}_{\mathbf{2}}\mathbf{=}\mathbf{0}\mathbf{鈥�} \\ {\mathbf{H}}_{\mathbf{a}}\mathbf{:}{\mathbf{尾}}_{\mathbf{2}}\mathbf{>}\mathbf{0} \end{gathered}$$

To check the curvature of the hyperbola, the null hypothesis is whether the model parameter${\mathbf{尾}}_{\mathbf{2}}$is explaining the model where the beta value is zero and the alternate hypothesis is whether the beta value is less than zero to check if the hyperbola slopes downwards.

Mathematically,

$$\begin{gathered} {\mathbf{H}}_{\mathbf{0}}\mathbf{:}{\mathbf{尾}}_{\mathbf{2}}\mathbf{=}\mathbf{0}鈥� \\ {\mathbf{H}}_{\mathbf{a}}\mathbf{:}{\mathbf{尾}}_{\mathbf{2}}\mathbf{<}\mathbf{0} \end{gathered}$$