Simple Linear Regression The purpose of this exercise is to implement a simple linear regression from scratch. Do not use a library to implement it. You will generate synthetic data using the linear equation y=50x+22The synthetic data will have some random variation to make the problem interesting. - Grading Criteria: The result of your regression should round to the orginal equation. It is not expected to be perfect. - I have a sample notebook that I will be going over in class. That will get you 80% through problem 1 Part 1 - Generate Data 1. Randomly select 20X values between 0 and 100 . Use a uniform distribution.

For this question, you need to implement a simple linear regression from scratch without using a library. The linear equation that you need to use for this exercise is y=50x+22, which you will use to generate some synthetic data with random variation to make the problem interesting.

Lets discuss more in detail.

To begin, you need to randomly select 20 x values between 0 and 100 using a uniform distribution. To do this, you can use a for loop to iterate through the range of 0 to 100 and randomly select 20 x values.

Once you have your x values, you can then use the linear equation of y=50x+22 to calculate the corresponding y values. Finally, you can use these x and y values to create a linear regression and check if it rounds to the original equation.

Grading criteria: The result of your linear regression should round to the original equation. It is not expected to be perfect.

You can find more detailed steps on how to solve this problem in the sample notebook that will be going over in class. This should get you 80% through problem 1.

Learn more about  linear regression.

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