本次美国代写是一个Python人工智能相关的assignment

**Overview**

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Please note that this homework is slightly shorter than usual, to give you

time to start working on your project.

**1 Observational Data on Infant Health**

The Infant Health and Development Program (IHDP) was an experiment treating low

birth-weight, premature infants with intensive high-quality childcare from a trained provider.

The goal is to estimate the causal effect of this treatment on the child’s cognitive test

scores. The data does not represent a randomized trial with randomly allocated treat

ment, so there may be confounders between treatment and outcome. In this problem, we

devise a propensity score model to control for observed confounders.

(a) (2 points) The CSV file ihdp.csv has 27 columns:

- Column 1 is the treatment zi ∈ {0, 1}, which indicates whether or not the treat

ment was given to the infant. - Column 2 is the outcome yi ∈ R, the child’s cognitive test score.
- Columns 3-27 contain 25 features of the mother and child (e.g. the child’s birth

weight, whether or not the mother smoked during pregnancy, her age and race).

Since this dataset was not collected by a randomized trial, these features could

all confound zi and yi, and are denoted by xi ∈ R25.

In this part, you’ll estimate ˆ e(x) (the predicted probability that zi = 1) by fitting a

logistic regression model that predicts zi from xi. Specifically:

1. Read the data in ihdp.csv (e.g. using the csv package in Python) into three

arrays: Z ∈ {0, 1}n containing the treatments, Y ∈ Rn containing the outcomes,

and X ∈ Rn×25 containing the features.

2. To fit a logistic regression model, use the scikit-learn package in Python,

which is imported as sklearn. Start with the following two lines:

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