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Code Editor : statistics.cpython-310.opt-2.pyc
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Zmean_nZmean_dr@ r3 r2 Zdiff_nZdiff_dr+ r� r, �_ss� s �r� c C sN t | �| u r t| �} t| �}|dk rtd��t| |�\}}t||d |�S )Nrp z*variance requires at least two data pointsr- �ra rb rW r r� rV )r> �xbarr3 rA �ssr+ r+ r, r � s %r c C sJ t | �| u r t| �} t| �}|dk rtd��t| |�\}}t|| |�S )Nr- z*pvariance requires at least one data pointr� )r> �mur3 rA r� r+ r+ r, r s "r c C �4 t | |�}z|�� W S ty t�|� Y S w r/ )r r rF rG )r> r� �varr+ r+ r, r 0 � �r c C r� r/ )r r rF rG )r> r� r� r+ r+ r, r C r� r c sp t | �}t |�|krtd��|dk rtd��t| �| � t|�| �t� �fdd�t| |�D ��}||d S )NzDcovariance requires that both inputs have same number of data pointsrp z,covariance requires at least two data pointsc 3 �$ � | ] \}}|� |� V qd S r/ r+ �r1 �xi�yi�r� �ybarr+ r, r4 u ri z covariance.<locals>.<genexpr>r- )rW r r$ rl )rH �yr3 �sxyr+ r� r, r ] s r c s� t | �}t |�|krtd��|dk rtd��t| �| � t|�| �t� �fdd�t| |�D ��}t� fdd�| D ��}t�fdd�|D ��}z |t|| � W S ty\ td��w ) NzEcorrelation requires that both inputs have same number of data pointsrp z-correlation requires at least two data pointsc 3 r� r/ r+ r� r� r+ r, r4 � ri z correlation.<locals>.<genexpr>c 3 r� �� @Nr+ �r1 r� �r� r+ r, r4 � r� c 3 r� r� r+ )r1 r� )r� r+ r, r4 � r� z&at least one of the inputs is constant)rW r r$ rl r rg )rH r� r3 r� �sxxZsyyr+ r� r, r y s �r �LinearRegression��slope� interceptc s� t | �}t |�|krtd��|dk rtd��t| �| � t|�| �t� �fdd�t| |�D ��}t� fdd�| D ��}z|| }W n tyN td��w �|� }t||d�S ) NzKlinear regression requires that both inputs have same number of data pointsrp z3linear regression requires at least two data pointsc 3 r� r/ r+ r� r� r+ r, r4 � ri z$linear_regression.<locals>.<genexpr>c 3 r� r� r+ r� r� r+ r, r4 � r� z x is constantr� )rW r r$ rl rg r� )rH r� r3 r� r� r� r� r+ r� r, r � s" � r c C s� | d }t |�dkrXd|| }d| d | d | d | d | d | d | d | }d | d | d | d | d | d | d | d }|| }||| S |dkr^| nd| }tt|� �}|dkr�|d }d| d | d | d | d | d | d | d }d | d | d! | d" | d# | d$ | d% | d }n@|d }d&| d' | d( | d) | d* | d+ | d, | d- }d.| d/ | d0 | d1 | d2 | d3 | d4 | d }|| }|dk r�| }||| S )5N� �?g333333�?g ��Q� �?g^�}o)��@g�E.k�R�@g ��U l�@g*u��>l�@g �N����@g�"]Ξ@gnC���`@gu� � @giK��~j�@gv��|E�@g��d�|1�@gfR��r��@g��u.2�@g���~y�@g�n8(E@� �?� g @g�������?g鬷�ZaI?gg�El�D�?g7\�����?g�uS�S�?g�=�. @gj%b�@g���Hw�@gjR�e�?g�9dh? 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