You want to fit an exponential model of the form, y ≈ yb = dX j =0 βje−ju=d; where the input u and output y are scalars. You are given python functions:

model = LinearRegression()
model. fit(X, y) # Fits a linear model for a data matrix X
yhat = model. predict(X) # Predicts values

Using these functions, write python code that, given vectors u and y:

• Splits the data into training and test using half the samples for each.
• Fits models of order dtest = [1,2,...,10] on the training data.
• Selects the model with the lowest mean squared error

answer: when the substance contain the two parts (polar and non-polar) like soap.

explanation:

soap is produced from the basic hydrolysis of ester "saponification", it is considered as a salt of hydrocarbons. the soap molecule contains the two parts: a polar group   (-coo-na+) and a non-polar group (r-hydrocarbon part). the polar group is called the head and the tail is the non-polar group. the polar group is hydrophilic in nature (water loving) and the non-polar group is hydrophobic in nature (water repelling).the polar/non-polar nature of a substance is useful that it can dissolve the non-polar substances by the polar part and also can dissolve the polar substances by the non-polar part. it commonly used in detergents and soaps.

Google 'climate change' and it will bring up tons of info and websites. its up to you which website you choose.

Ibelieve the answer is c) productivity software