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Question 1 Modify the code for the least squares fitting procedure to apply it to the data from user 30222 (download the the following file: LumositySample_user30222.csv). Note that this file has

some missing observations for the scores (coded as NaN in the file). You can ignore these missing observations in the calculation of the mean squared error (or simply remove these data cases). You can use the column gameplay for the amount of practice t and column score for the performance y. 1 pts If you need help with the code, there is some skeleton code in Python and Matlab provided here. Note that this example code currently loads the wrong data file. Use your code to create a figure that shows the predicted scores from the exponential model (based on the best fitting model) as well as the observed data for user 30222. For this question, you should upload the figure Upload Choose a File →/nwww Question 2 Upload the code that produced the figure above. Upload Choose a File 1 pts/nD Question 3 For the exponential learning model in the previous exercise, what is the predicted asymptotic performance level? In other words, what does the model predict for the score after an infinite amount of practice? O<55.25 1.5 pts O55.25-55.75 O 55.75-56.25 O 56.25-56.75 O 56.75-57.25 O 57.25-57.75 O >57.75/nD Question 4 1 pts At the end of training, user 30222 has practiced for 40 gameplays. How many additional gameplays would be required according to the best fitting exponential model to achieve a score of at least 70? O 1-10 O 11-100 O 101-1000 O 1001-10,000 O > 10,000 Impossible, this score will never be reached/nQuestion 5 Now let's consider a slightly different descriptive model based on a power-law: y=a (a-u)t. Apply the power-law model to the data from user (30222). What is the predicted asymptotic performance level for this model? O <55.25 O 55.25-55.75 O 55.75-56.25 56.25-56.75 O 56.75-57.25 O 57.25-57.75 1.5 pts O>57.75/nD Question 6 Which model provides the best fit in terms of MSE? Exponential learning model Power-law learning model 1 pts O No answer text provided. No answer text provided.

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