From 129f37d1396afff31823dc851947ca473014e650 Mon Sep 17 00:00:00 2001 From: Ceres Date: Mon, 23 Feb 2026 13:51:08 +0000 Subject: [PATCH] Finish Exercise 3 --- Exercise 3/.chktexrc | 4 + Exercise 3/Images/TimeVHeightMag.png | Bin 0 -> 121504 bytes Exercise 3/Images/correlation.png | Bin 0 -> 62100 bytes Exercise 3/Images/residuals.png | Bin 0 -> 28024 bytes Exercise 3/Images/trueVpred.png | Bin 0 -> 91046 bytes Exercise 3/exercise3.py | 67 ++++++++++ Exercise 3/main.pdf | Bin 0 -> 323662 bytes Exercise 3/main.tex | 179 +++++++++++++++++++++++++++ 8 files changed, 250 insertions(+) create mode 100644 Exercise 3/.chktexrc create mode 100644 Exercise 3/Images/TimeVHeightMag.png create mode 100644 Exercise 3/Images/correlation.png create mode 100644 Exercise 3/Images/residuals.png create mode 100644 Exercise 3/Images/trueVpred.png create mode 100644 Exercise 3/main.pdf create mode 100644 Exercise 3/main.tex diff --git a/Exercise 3/.chktexrc b/Exercise 3/.chktexrc new file mode 100644 index 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z68#JT{a$?jn-PPa_?skzPWWpa)eHIg`!>`Qe}OmE>XSXj9$IXV=b;;M+q}PGcm$pK EH(p^rlK=n! literal 0 HcmV?d00001 diff --git a/Exercise 3/exercise3.py b/Exercise 3/exercise3.py index bedca73..f985a9f 100644 --- a/Exercise 3/exercise3.py +++ b/Exercise 3/exercise3.py @@ -8,12 +8,25 @@ from sklearn.model_selection import train_test_split from sklearn.linear_model import SGDRegressor from sklearn.preprocessing import StandardScaler +""" +The below section establishes some initial variables which will remain consistent throughout the program, +such as the columns in the csv, the units for each, all the materials tested and the different radii tested +""" + columns = ["Material", "Density", "Radius", "Mass", "Temperature", "Pressure", "Height", "Time"] columnsNoMaterial = ["Density", "Radius", "Mass", "Temperature", "Pressure", "Height", "Time"] units = ["", "kg/m^3", "m", "kg", "K", "Pa", "m", "s"] materials = ["magnesium", "polycarbonate", "silica", "zinc_oxide", "silicon_carbide", "titanium", "iron"] radii = [0.005, 0.01, 0.015, 0.02, 0.025] +""" +This function reads the csv file and imports is into a pandas dataframe, with the correct names for each column +it then applies some corrections to the data, first making sure all the data that should be numeric is numeric +which converts any non numerical data to NaN, which can be filtered out +the function then deletes any lines which have a material not in the 'materials' list, and then converts any negative values to be positive +finally, the function removes any rows containing NaN, then returns the cleaned dataframe +""" + def getData(file): columns = ["Material", "Density", "Radius", "Mass", "Temperature", "Pressure", "Height", "Time"] data = pd.read_csv(file, sep=',', names=columns, skiprows=9, on_bad_lines='skip') @@ -35,6 +48,11 @@ def getData(file): data.dropna(inplace=True) return data +""" +This function takes the column name aand its units as input, then outputs statistics of the column, including min, max, mean ans standard deviation, +and then prints them with the relvant units. +""" + def columnStats(column, units): min = df[column].min() max = df[column].max() @@ -52,6 +70,14 @@ df = getData('exercise3data.csv') ####Part 1 +""" +This function performs all the operations for part 1 +First, it iterates through the columns, skkipping over material, and then uses the previous columnStats function to output the statistics for each column +Then, it iterates through the list of materials, and for each one, filters the data frame to just the rows with that material. +For each material, it then iterates through the list of radii, again filtering the dataframe to contain just rows with that radius, and then plots the remaining rows. +Once every radius has been plotted, the plot is then shown, with the correct labels, title and legend. +""" + def part1(): for i in range(len(columns)): if columns[i] == "Material": @@ -73,6 +99,14 @@ def part1(): ####Part 2 +""" +This function performs all the operations for part 2. +First, it removes the Material column from the dataframe, as this interferes with the subsequent operations +It then uses the .corr() function to calculate thye correlations between the various parameters, and assigns this to a variable +A plot is then made of this matrix, with bounds set to -1 to 1, and then the function iterates through earch tile on the plot and labels it with the relevant value +Finally, a colour bar legend is added to the plot and the plot is given a title, and is then shown +""" + def part2(): dfNoMaterial = df.drop("Material", axis=1) corrMatrix = dfNoMaterial.corr(method='pearson') @@ -90,10 +124,34 @@ def part2(): fig.colorbar(im) fig.tight_layout() + fig.suptitle("Correlation between each parameter") plt.show() ####Part 3 +""" +This function performs all the operations for section 3 +First, filtered dataframes are made, one with only the features affecting drop time, and one with just the drop time +A linear regression of these values is then calculated using the sklearn function, and the coefficients are printed with their relevant units +The dataframe is then filtered to contain only a single material, iron +A function is then defined that takes values for density, radius, mass, temp, pressure and height as input, and then uses the coefficiients calculated by the linear fit +to calculate and return a value for fall time. +A function to predict the fall times using the linear fit is then defined. +It first filters the dataframe by radius, then plots the ex,perimental, or 'true' data as a scatter plot +The .predict function is then used, taking the dataframe of features as an input, to plot the predictions of each drop time based on fall distance. +The fitByMeans function is then used, by passing the mean of each column and two values of drop height, and this data is used to plot a straigfht line of best fit +The axis are given labels, and the plot is then shown. + +The data is then split randomly into 90% fo training data and 10% for test data. +Again, the LinearRegression function is used to calculate a linear regression based thi time of the random smple of test data. +For each radius, the dataframe is first filtered, and the true values of fall time are plotted, and their R^2 value is calculated. +The .predict function is again used to calculate the predicted values for fall time based off the training set, and this is plotted on the same graph, and its R^2 value is also calculated +The R^2 values are then printed, and the plot is shown. + +Finaly, a function to plot the residuals between the true and predicted data is defined. +It finds the differnce between each true value for time and its predicted one, and then plots these residuals against radius. +""" + def part3(): features = df[["Density", "Radius", "Mass", "Temperature", "Pressure", "Height"]] targets = df["Time"] @@ -158,6 +216,15 @@ def part3(): calcResiduals() +""" +This function performs all the operations for section 4 +First, the dataframe is again split up into the columns for the features affecting drop time and drop time. +The SDG regressor function is then used to calculate an unscaled linear fit of the data, and its R^2 value is calculated and printed. +The data is then scaled using the StandardScaler function, and the scaled features are saved to a variable. +The linear regression is then calculated again, its R^2 value is calculated and prnted, and the coefficients for each fearture are listed along with their relevant units +This process is then repeated again using the huber loss function rather than the least squares function. +""" + def part4(): reg = SGDRegressor() diff --git a/Exercise 3/main.pdf b/Exercise 3/main.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e5aa2ca4f79935f09c7bb295ec8b46c9aa7791b1 GIT binary patch literal 323662 zcmeFYby$_{_a};?@(KbfAP7h(p`?OHvuQ=TkrV;x?gk}9BqXJk?vk#JARr(hAl=>F zeb(mn{r!o{qV$9wr|jrnQZg 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