Basics of Probability and Statistics Week 1 Challenge

1) attached as a file. 2)Please provide the answer with a proper explanation. 3)Mean Squared Error: The MSE is the most commonly used loss function for regression. It measures the average of the squared differences between the predicted and actual values. The formula for the MSE is: MSE = (1/n) * sum((y_pred - y_true)^2)…

1)In the attached file 2) While the sample mean is the average of a set of observed values, the expected value provides a theoretical average that is useful for making predictions and understanding the underlying distribution of the data. The sample mean provides a measure of the central tendency for a sample, but it does…

Question 1: Why there is a difference in the formula of variance for population and sample? Answer 1: Population can be considered the whole data points and the sample can be considered as a small part of the population. While the statistical calculation of a population can be very time-consuming and labor-intensive therefore…

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