diff --git a/.~lock.Tayko.csv# b/.~lock.Tayko.csv# new file mode 100644 index 0000000..026fb0e --- /dev/null +++ b/.~lock.Tayko.csv# @@ -0,0 +1 @@ +,noah,NovaArchSys,27.02.2023 17:02,file:///home/noah/.config/libreoffice/4; \ No newline at end of file diff --git a/Schrick-Noah_Learning-Practice-5.ipynb b/Schrick-Noah_Learning-Practice-5.ipynb index 7a1f744..0e57b77 100644 --- a/Schrick-Noah_Learning-Practice-5.ipynb +++ b/Schrick-Noah_Learning-Practice-5.ipynb @@ -510,8 +510,7 @@ "metadata": {}, "source": [ "# Problem 6.2\n", - "Tayko Software is a software catalog firm that sells games and educational software. It started out as a software manufacturer and then added third-party titles to its offerings. It recently revised its collection of\n", - "items in a new catalog, which it mailed out to its customers. This mailing yielded 2000 purchases. Based on these data, Tayko wants to devise a model for predicting the spending amount that a purchasing customer will yield. The file Tayko.csv contains information on 2000 purchases. Table 6.12 describes the variables to be used in the problem (the Excel file contains additional variables).\n", + "Tayko Software is a software catalog firm that sells games and educational software. It started out as a software manufacturer and then added third-party titles to its offerings. It recently revised its collection of items in a new catalog, which it mailed out to its customers. This mailing yielded 2000 purchases. Based on these data, Tayko wants to devise a model for predicting the spending amount that a purchasing customer will yield. The file Tayko.csv contains information on 2000 purchases. Table 6.12 describes the variables to be used in the problem (the Excel file contains additional variables).\n", "\n", "TABLE 6.12 DESCRIPTION OF VARIABLES FOR TAYKO SOFTWARE EXAMPLE\n", "FREQ Number of transactions in the preceding year\n", @@ -536,6 +535,140 @@ " vi. Evaluate the predictive accuracy of the model by examining its performance on the validation set.\n", " vii. Create a histogram of the model residuals. Do they appear to follow a normal distribution? How does this affect the predictive performance of the model?" ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " mean std \\\n", + " Address_is_res Gender=male US Web order Address_is_res \n", + "Spending \n", + "0 0.219219 0.535536 0.815816 0.307307 0.413925 \n", + "1 0.000000 0.000000 1.000000 1.000000 NaN \n", + "3 0.666667 0.333333 0.666667 0.333333 0.577350 \n", + "4 0.500000 0.000000 1.000000 0.500000 0.707107 \n", + "6 0.666667 0.666667 1.000000 0.666667 0.577350 \n", + "... ... ... ... ... ... \n", + "1416 0.000000 1.000000 1.000000 0.000000 NaN \n", + "1441 0.000000 1.000000 0.000000 0.000000 NaN \n", + "1443 0.000000 0.000000 1.000000 1.000000 NaN \n", + "1446 0.000000 1.000000 1.000000 0.000000 NaN \n", + "1500 0.000000 1.000000 1.000000 0.000000 NaN \n", + "\n", + " \n", + " Gender=male US Web order \n", + "Spending \n", + "0 0.498985 0.387828 0.461609 \n", + "1 NaN NaN NaN \n", + "3 0.577350 0.577350 0.577350 \n", + "4 0.000000 0.000000 0.707107 \n", + "6 0.577350 0.000000 0.577350 \n", + "... ... ... ... \n", + "1416 NaN NaN NaN \n", + "1441 NaN NaN NaN \n", + "1443 NaN NaN NaN \n", + "1446 NaN NaN NaN \n", + "1500 NaN NaN NaN \n", + "\n", + "[363 rows x 8 columns]\n" + ] + } + ], + "source": [ + "# a\n", + "tayko_df = pd.read_csv('Tayko.csv')\n", + "table = pd.pivot_table(tayko_df, values = ['Web order', 'Gender=male', 'Address_is_res', 'US'],\n", + " index='Spending',\n", + " aggfunc=['mean', 'std'])\n", + "\n", + "print(table)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# b. \n", + "## Scatter plot with pandas\n", + "tayko_df.plot.scatter(x='Spending', y='Freq', legend=False)\n", + "tayko_df.plot.scatter(x='Spending', y='last_update_days_ago', legend=False)\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Linear? \n", + "There does not appear to be a linear relationship between spending and frequency or spending and last update days ago.\n", + "An argument could be made for Frequency and Spending as spending gets larger, but both scatter plots do not seem to indicate a linear relationship." + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [], + "source": [ + "# c. i\n", + "predictors = ['sequence_number', 'US', 'source_a', 'source_c', 'source_b', 'source_d', 'source_e',\n", + " 'source_m', 'source_o', 'source_h', 'source_r', 'source_s', 'source_t',\n", + " 'source_u', 'source_p', 'source_x', 'source_w', 'Freq', 'last_update_days_ago',\n", + " '1st_update_days_ago', 'Web order', 'Gender=male', 'Address_is_res', 'Purchase',\n", + " 'Spending']\n", + "\n", + "outcome = 'Spending'\n", + "X = pd.get_dummies(tayko_df[predictors], drop_first=True)\n", + "y = tayko_df[outcome]\n", + "train_X, valid_X, train_y, valid_y = train_test_split(X, y, test_size=0.4, random_state=1)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# c. ii" + ] } ], "metadata": {