Please show all work and steps/explanation for each problem. Be as detailed as p

Please show all work and steps/explanation for each problem. Be as detailed as possible, and show as much work as possible. These questions are Applied Numerical Methods questions for an Applied Numerical Methods II course, so please keep that in mind. Additionally, please give me HAND-WRITTEN solutions, NOT typed solutions. Once you are done, please scan your work and send the solutions in a scanned pdf file.

Explain the data set you chose and why you chose it. Perform a linear regression

Explain the data set you chose and why you chose it. Perform a linear regression on the data using Desmos or a spreadsheet program, such as Excel or Google Sheets (help performing linear regression can be found in Week 3). Share screenshots of your graph, regression equation and correlation coefficient. Interpret both the slope and the y-intercept in this situation. That is, what do these values mean in terms of your variables? How confident are you in your model, that is what do your r and r^2 values tell you? Make a prediction based on your model. This means you should choose an x-value and find the corresponding y-value using your model. Then you should compare this to the actual data.