



import matplotlib.pyplot as plt
import numpy as np







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase	)       ->       np.ndarray:



						'''simple docstring'''






						UpperCAmelCase_     							=     len(__UpperCAmelCase	)  # Number of training samples
						UpperCAmelCase_     							=     np.eye(__UpperCAmelCase	)  # Initialize weights as identity matrix
						for j in range(__UpperCAmelCase	):
												UpperCAmelCase_     							=     point - x_train[j]
												UpperCAmelCase_     							=     np.exp(diff @ diff.T / (-2.0 * tau**2)	)

						return weights







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase	)       ->       np.ndarray:



						'''simple docstring'''






						UpperCAmelCase_     							=     weight_matrix(__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase	)
						UpperCAmelCase_     							=     np.linalg.inv(x_train.T @ weight_mat @ x_train	) @ (
						    x_train.T @ weight_mat @ y_train.T
						)

						return weight







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase	)       ->       np.ndarray:



						'''simple docstring'''






						UpperCAmelCase_     							=     np.zeros(len(__UpperCAmelCase	)	)  # Initialize array of predictions
						for i, item in enumerate(__UpperCAmelCase	):
												UpperCAmelCase_     							=     item @ local_weight(__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase	)

						return y_pred







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase	)       ->       tuple[np.ndarray, np.ndarray, np.ndarray]:



						'''simple docstring'''






						import seaborn as sns

						UpperCAmelCase_     							=     sns.load_dataset(__UpperCAmelCase	)
						UpperCAmelCase_     							=     np.array(data[x_name]	)
						UpperCAmelCase_     							=     np.array(data[y_name]	)

						UpperCAmelCase_     							=     np.ones(len(__UpperCAmelCase	)	)

						# pairing elements of one and x_data
						UpperCAmelCase_     							=     np.column_stack((one, x_data)	)

						return x_train, x_data, y_data







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase							,					__UpperCAmelCase							,					)       ->       None:



						'''simple docstring'''






						UpperCAmelCase_     							=     np.sort(__UpperCAmelCase							,					axis=0	)
						plt.scatter(__UpperCAmelCase							,					__UpperCAmelCase							,					color='''blue'''	)
						plt.plot(
						    x_train_sorted[:, 1]							,					preds[x_train[:, 1].argsort(0	)]							,					color='''yellow'''							,					linewidth=5							,					)
						plt.title('''Local Weighted Regression'''	)
						plt.xlabel(__UpperCAmelCase	)
						plt.ylabel(__UpperCAmelCase	)
						plt.show()


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							# Demo with a dataset from the seaborn module
							UpperCamelCase_       ,			UpperCamelCase_       ,			UpperCamelCase_	       =   load_data("tips", "total_bill", "tip")
							UpperCamelCase_	       =   local_weight_regression(training_data_x, tip, 5)
							plot_preds(training_data_x, predictions, total_bill, tip, "total_bill", "tip")










def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 9 / 5) + 32							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round(float(__UpperCAmelCase	) + 273.15							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 9 / 5) + 491.67							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) - 32) * 5 / 9							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round(((float(__UpperCAmelCase	) - 32) * 5 / 9) + 273.15							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round(float(__UpperCAmelCase	) + 459.67							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round(float(__UpperCAmelCase	) - 273.15							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round(((float(__UpperCAmelCase	) - 273.15) * 9 / 5) + 32							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 9 / 5)							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) - 491.67) * 5 / 9							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round(float(__UpperCAmelCase	) - 459.67							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 5 / 9)							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 1.25 + 273.15)							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 2.25 + 32)							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 1.25)							,					__UpperCAmelCase	)







def 				A			(		__UpperCAmelCase							,					__UpperCAmelCase = 2	)       ->       float:



						'''simple docstring'''






						return round((float(__UpperCAmelCase	) * 2.25 + 32 + 459.67)							,					__UpperCAmelCase	)


if __name__ == "__main__":
							import doctest

							doctest.testmod()





