Least squares optimization in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the least squares function from scipy.optimize.

SciPy

from scipy.optimize import [1]

Drag options to blanks, or click blank then click option'

Aleast_squares

Bcurve_fit

Cminimize

Dlinprog

Attempts:

3 left

💡 Hint

Common Mistakes

Importing minimize instead of least_squares.

Confusing curve_fit with least squares function.

The least_squares function is used for least squares optimization in scipy.optimize.

2fill in blank

medium

Complete the code to define the residuals function for least squares optimization.

SciPy

def residuals(params, x, y):
    return y - [1]

Drag options to blanks, or click blank then click option'

Aparams / x

Bparams + x

Cparams * x

Dparams - x

Attempts:

3 left

💡 Hint

Common Mistakes

Using addition or division instead of multiplication for prediction.

Subtracting x from params instead of multiplying.

The residuals are the difference between observed y and the model prediction params * x.

3fill in blank

hard

Fix the error in the least squares call to correctly pass the residuals function and data.

SciPy

result = least_squares([1], 1.0, args=(x, y))

Drag options to blanks, or click blank then click option'

Aresiduals(params, x, y)

Bresiduals

Cresiduals(params)

Dresiduals(x, y)

Attempts:

3 left

💡 Hint

Common Mistakes

Calling the function instead of passing it.

Passing wrong number of arguments.

The function residuals should be passed without calling it, so it can be called internally by least_squares.

4fill in blank

hard

Fill both blanks to create a dictionary comprehension that maps words to their lengths only if length is greater than 3.

SciPy

lengths = {word: [1] for word in words if [2]

Drag options to blanks, or click blank then click option'

Alen(word)

Blen(word) > 3

Cword > 3

Dlen(words) > 3

Attempts:

3 left

💡 Hint

Common Mistakes

Using word > 3 which compares string to number.

Using len(words) > 3 which checks length of the whole list.

The dictionary comprehension maps each word to its length using len(word), and filters words with length greater than 3 using len(word) > 3.

5fill in blank

hard

Fill all three blanks to create a dictionary comprehension that maps uppercase words to their values only if the value is positive.

SciPy

result = [1]: [2] for [3] in data.items() if [2] > 0

Drag options to blanks, or click blank then click option'

Aword.upper()

Bvalue

Cword, value

Dkey

Attempts:

3 left

💡 Hint

Common Mistakes

Using key instead of word for iteration variable.

Not filtering values greater than zero.

The comprehension maps uppercase words (word.upper()) to their values (value) for each word and value in data.items(), filtering values greater than zero.