boston_stats.ipynb

{"metadata":{"kernelspec":{"name":"python","display_name":"Python (Pyodide)","language":"python"},"language_info":{"codemirror_mode":{"name":"python","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.8"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"<p style=\"text-align:center\">\n    <a href=\"https://skills.network/?utm_medium=Exinfluencer&utm_source=Exinfluencer&utm_content=000026UJ&utm_term=10006555&utm_id=NA-SkillsNetwork-Channel-SkillsNetworkCoursesIBMDeveloperSkillsNetworkST0151ENSkillsNetwork20531532-2022-01-01\" target=\"_blank\">\n    <img src=\"https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/assets/logos/SN_web_lightmode.png\" width=\"200\" alt=\"Skills Network Logo\"  />\n    </a>\n</p>\n\n","metadata":{}},{"cell_type":"markdown","source":"#### Import the required libraries we need for the lab.\n","metadata":{}},{"cell_type":"code","source":"import piplite\nawait piplite.install(['numpy'],['pandas'])\nawait piplite.install(['seaborn'])","metadata":{"trusted":true},"outputs":[],"execution_count":62},{"cell_type":"code","source":"import pandas as pd\nimport pandas as pd\nimport seaborn as sns\nimport matplotlib.pyplot as pyplot\nimport scipy.stats\nimport statsmodels.api as sm\nfrom statsmodels.formula.api import ols","metadata":{"trusted":true},"outputs":[],"execution_count":63},{"cell_type":"markdown","source":"#### Read the dataset in the csv file from the URL\n","metadata":{}},{"cell_type":"code","source":"from js import fetch\nimport io\n\nURL = 'https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/IBMDeveloperSkillsNetwork-ST0151EN-SkillsNetwork/labs/boston_housing.csv'\nresp = await fetch(URL)\nboston_url = io.BytesIO((await resp.arrayBuffer()).to_py())","metadata":{"trusted":true},"outputs":[],"execution_count":64},{"cell_type":"code","source":"boston_df=pd.read_csv(boston_url)","metadata":{"trusted":true},"outputs":[],"execution_count":65},{"cell_type":"markdown","source":"#### Add your code below following the instructions given in the course to complete the peer graded assignment\n","metadata":{}},{"cell_type":"markdown","source":"Dataset Variables\n\n - CRIM : per capita crime rate by town\n - ZN : proportion of residential land zoned for lots over 25,000 sq.ft.\n - INDUS : proportion of non-retail business acres per town.\n - CHAS : Charles River dummy variable (1 if tract bounds river; 0 otherwise)\n - NOX : nitric oxides concentration (parts per 10 million)\n - RM : average number of rooms per dwelling\n - AGE : proportion of owner-occupied units built prior to 1940\n - DIS : weighted distances to five Boston employment centres\n - RAD : index of accessibility to radial highways\n - TAX : full-value property-tax rate per 10,000 dollars\n - PTRATIO : pupil-teacher ratio by town \n - LSTAT : % lower status of the population \n - MEDV : Median value of owner-occupied homes in 1000's dollars\n","metadata":{}},{"cell_type":"code","source":"boston_df.head()","metadata":{"trusted":true},"outputs":[{"execution_count":66,"output_type":"execute_result","data":{"text/plain":"   Unnamed: 0     CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  \\\n0           0  0.00632  18.0   2.31   0.0  0.538  6.575  65.2  4.0900  1.0   \n1           1  0.02731   0.0   7.07   0.0  0.469  6.421  78.9  4.9671  2.0   \n2           2  0.02729   0.0   7.07   0.0  0.469  7.185  61.1  4.9671  2.0   \n3           3  0.03237   0.0   2.18   0.0  0.458  6.998  45.8  6.0622  3.0   \n4           4  0.06905   0.0   2.18   0.0  0.458  7.147  54.2  6.0622  3.0   \n\n     TAX  PTRATIO  LSTAT  MEDV  \n0  296.0     15.3   4.98  24.0  \n1  242.0     17.8   9.14  21.6  \n2  242.0     17.8   4.03  34.7  \n3  222.0     18.7   2.94  33.4  \n4  222.0     18.7   5.33  36.2  ","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Unnamed: 0</th>\n      <th>CRIM</th>\n      <th>ZN</th>\n      <th>INDUS</th>\n      <th>CHAS</th>\n      <th>NOX</th>\n      <th>RM</th>\n      <th>AGE</th>\n      <th>DIS</th>\n      <th>RAD</th>\n      <th>TAX</th>\n      <th>PTRATIO</th>\n      <th>LSTAT</th>\n      <th>MEDV</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>0.00632</td>\n      <td>18.0</td>\n      <td>2.31</td>\n      <td>0.0</td>\n      <td>0.538</td>\n      <td>6.575</td>\n      <td>65.2</td>\n      <td>4.0900</td>\n      <td>1.0</td>\n      <td>296.0</td>\n      <td>15.3</td>\n      <td>4.98</td>\n      <td>24.0</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>1</td>\n      <td>0.02731</td>\n      <td>0.0</td>\n      <td>7.07</td>\n      <td>0.0</td>\n      <td>0.469</td>\n      <td>6.421</td>\n      <td>78.9</td>\n      <td>4.9671</td>\n      <td>2.0</td>\n      <td>242.0</td>\n      <td>17.8</td>\n      <td>9.14</td>\n      <td>21.6</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2</td>\n      <td>0.02729</td>\n      <td>0.0</td>\n      <td>7.07</td>\n      <td>0.0</td>\n      <td>0.469</td>\n      <td>7.185</td>\n      <td>61.1</td>\n      <td>4.9671</td>\n      <td>2.0</td>\n      <td>242.0</td>\n      <td>17.8</td>\n      <td>4.03</td>\n      <td>34.7</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>3</td>\n      <td>0.03237</td>\n      <td>0.0</td>\n      <td>2.18</td>\n      <td>0.0</td>\n      <td>0.458</td>\n      <td>6.998</td>\n      <td>45.8</td>\n      <td>6.0622</td>\n      <td>3.0</td>\n      <td>222.0</td>\n      <td>18.7</td>\n      <td>2.94</td>\n      <td>33.4</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>4</td>\n      <td>0.06905</td>\n      <td>0.0</td>\n      <td>2.18</td>\n      <td>0.0</td>\n      <td>0.458</td>\n      <td>7.147</td>\n      <td>54.2</td>\n      <td>6.0622</td>\n      <td>3.0</td>\n      <td>222.0</td>\n      <td>18.7</td>\n      <td>5.33</td>\n      <td>36.2</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}],"execution_count":66},{"cell_type":"markdown","source":"### Descriptive Statistics and Visualizations","metadata":{}},{"cell_type":"markdown","source":"#### Box plot of House Median Value","metadata":{}},{"cell_type":"markdown","source":"First let's create a box plot of Median Value","metadata":{}},{"cell_type":"code","source":"import seaborn as sns\nimport matplotlib.pyplot as plt\n\nplt.figure(figsize=(6, 4))\nsns.boxplot(y=boston_df['MEDV'])\nplt.ylabel('Median Value (MEDV) - $1,000')\nplt.title(\"Distribution of Median Values owner-occupied homes in $1,000's\")\nplt.show()","metadata":{"trusted":true},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 600x400 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":67},{"cell_type":"markdown","source":"- Half of the homes have a median value of about \\\\$22,000.\n- The middle 50% of homes have median values between roughly \\\\$18,000 and \\\\$25,000.\n- The median values of the other homes are spread out between about \\\\$5,000 and \\\\$50,000","metadata":{}},{"cell_type":"markdown","source":"#### Distribution of the number of houses bordering the Charles River","metadata":{}},{"cell_type":"markdown","source":"Next, let's look at the distribution of the number of houses bordering the Charles River","metadata":{}},{"cell_type":"code","source":"chas_counts = boston_df['CHAS'].value_counts()\nplt.figure(figsize=(6,4))\nsns.barplot(x=chas_counts.index, y=chas_counts.values)\nplt.xlabel('CHAS (Bordering Charles River)')\nplt.ylabel('Number of Houses')\nplt.title('Distribution of the number of houses bordering the Charles River')\nplt.xticks([0, 1], ['No', 'Yes'])\nplt.show()","metadata":{"trusted":true},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 600x400 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":68},{"cell_type":"markdown","source":"#### MEDV variable vs the AGE variable","metadata":{}},{"cell_type":"code","source":"bins = [0, 35, 70, float('inf')]\nlabels = ['35 or younger', '35-70', '70 or older']\nboston_df['AGE_group'] = pd.cut(boston_df['AGE'], bins=bins, labels=labels)\n\nplt.figure(figsize=(6, 4))\nsns.boxplot(x='AGE_group', y='MEDV', data=boston_df)\nplt.title('Median Home Value vs. Age Group (Boston)')\nplt.ylabel('Median Home Value ($1000s)')\nplt.xlabel('Age Group')\nplt.show()","metadata":{"trusted":true},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 600x400 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":69},{"cell_type":"markdown","source":"The median home values appear to drop with age.","metadata":{}},{"cell_type":"markdown","source":"#### Nitric oxide concentrations vs proportion of non-retail business acres per town","metadata":{}},{"cell_type":"code","source":"plt.figure(figsize=(6, 4))\nsns.regplot(x='NOX', y='INDUS', data=boston_df)\n\nplt.xlabel('Nitric Oxide Concentration (parts per 10 million)')\nplt.ylabel('Proportion of Non-Retail Business Acres')\nplt.title('Relationship between Nitric Oxide and Non-Retail Business Acres')\n\nplt.show()","metadata":{"trusted":true},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 600x400 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":70},{"cell_type":"markdown","source":"There is a strong positive correlation between nitric oxide concentration and proportion of non-retail business acres","metadata":{}},{"cell_type":"markdown","source":"#### Pupil to teacher ratio","metadata":{}},{"cell_type":"code","source":"plt.figure(figsize=(6, 4))\nsns.histplot(boston_df['PTRATIO'], kde=True, bins=15)\n\nplt.title('Distribution of Pupil-Teacher Ratio in Boston')\nplt.xlabel('Pupil-Teacher Ratio')\nplt.ylabel('Frequency')\n\nplt.show()","metadata":{"trusted":true},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 600x400 with 1 Axes>","image/png":"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"},"metadata":{}}],"execution_count":71},{"cell_type":"markdown","source":"Most schools having a ratio between 19 and 21, and the most frequent ratio being slightly above 20","metadata":{}},{"cell_type":"markdown","source":"---","metadata":{}},{"cell_type":"markdown","source":"### Statistical Tests","metadata":{}},{"cell_type":"markdown","source":"#### Median value of houses bounded by the Charles river\nIs there a significant difference in median value of houses bounded by the Charles river or not? ","metadata":{}},{"cell_type":"markdown","source":"**Hypotheses**\n\n- **H0**: There is no significant difference in median home values between houses bounded by the Charles River and those not bounded by the river.\n- **Ha**: There is a significant difference in median home values between houses bounded by the Charles River and those not bounded by the river.","metadata":{}},{"cell_type":"code","source":"from scipy.stats import ttest_ind\n\nchas_yes = boston_df[boston_df['CHAS'] == 1]['MEDV']\nchas_no = boston_df[boston_df['CHAS'] == 0]['MEDV']\n\nt_statistic, p_value = ttest_ind(chas_yes, chas_no)\n\nprint(p_value)","metadata":{"trusted":true},"outputs":[{"name":"stdout","text":"7.390623170519905e-05\n","output_type":"stream"}],"execution_count":72},{"cell_type":"markdown","source":"Because our p_value is lower than the alpha of 0.05, we can **reject H0** there is sufficient evidence to suggest a significant difference in median house values based on proximity to the Charles River.\n","metadata":{}},{"cell_type":"markdown","source":"#### Median values of houses (MEDV) for each proportion of owner occupied units built prior to 1940\nIs there a difference in Median values of houses (MEDV) for each proportion of owner occupied units built prior to 1940 (AGE)?\n\n**Hypotheses**\n\n- **H0**: There is no significant difference in median house values between age groups.\n- **Ha**: There is significant difference in median house values between age groups.\n","metadata":{}},{"cell_type":"code","source":"from scipy.stats import f_oneway\n\nboston_df['age_group'] = pd.cut(boston_df['AGE'], bins=[0,33,66,100], labels=['young','middle-aged','old']) \nage_groups = boston_df.groupby('age_group')['MEDV'].apply(list)\n\nstatistic, p_value = f_oneway(*age_groups)\n\nprint(p_value)","metadata":{"trusted":true},"outputs":[{"name":"stdout","text":"6.423413089231037e-14\n","output_type":"stream"}],"execution_count":73},{"cell_type":"markdown","source":"Because p_value is 6.42e-14 is smaller than the alpha of 0.05, we **reject the null hypothesis** that there is a significant difference in median house values between age groups.","metadata":{}},{"cell_type":"markdown","source":"#### Nitric oxide concentrations and proportion of non-retail business acres per town\nCan we conclude that there is no relationship between Nitric oxide concentrations and proportion of non-retail business acres per town?","metadata":{}},{"cell_type":"markdown","source":"**Hypotheses**\n\n- **H0**: There is no correlation between nitric oxide concentration (NOX) and proportion of non-retail business acres (INDUS)\n- **Ha**: There is a correlation between NOX and INDUS.\n","metadata":{}},{"cell_type":"code","source":"from scipy.stats import pearsonr\n\ncorrelation_coefficient, p_value = pearsonr(boston_df['NOX'], boston_df['INDUS'])\n\nprint(p_value)","metadata":{"trusted":true},"outputs":[{"name":"stdout","text":"7.913361061210442e-98\n","output_type":"stream"}],"execution_count":74},{"cell_type":"markdown","source":"Because p_value 7.91e-98 is smaller than the alpha of 0.05, we **reject the null hypothesis** that there is no correlation between nitric oxide concentration (NOX) and proportion of non-retail business","metadata":{}},{"cell_type":"markdown","source":"#### Impact of an additional weighted distance to the five Boston employment centres on the median value of owner occupied homes\n What is the impact of an additional weighted distance  to the five Boston employment centres on the median value of owner occupied homes?","metadata":{}},{"cell_type":"markdown","source":"**Hypotheses**\n\n- **H0**: There is no relationship between DIS and MEDV\n- **Ha**: There is a relationship between DIS and MEDV\n","metadata":{}},{"cell_type":"code","source":"import statsmodels.api as sm\n\nX = boston_df['DIS']\ny = boston_df['MEDV']\n\nX = sm.add_constant(X)\nmodel = sm.OLS(y, X).fit()\nprint(model.summary())","metadata":{"trusted":true},"outputs":[{"name":"stdout","text":"                            OLS Regression Results                            \n==============================================================================\nDep. Variable:                   MEDV   R-squared:                       0.062\nModel:                            OLS   Adj. R-squared:                  0.061\nMethod:                 Least Squares   F-statistic:                     33.58\nDate:                Sat, 13 Jul 2024   Prob (F-statistic):           1.21e-08\nTime:                        22:59:10   Log-Likelihood:                -1823.9\nNo. Observations:                 506   AIC:                             3652.\nDf Residuals:                     504   BIC:                             3660.\nDf Model:                           1                                         \nCovariance Type:            nonrobust                                         \n==============================================================================\n                 coef    std err          t      P>|t|      [0.025      0.975]\n------------------------------------------------------------------------------\nconst         18.3901      0.817     22.499      0.000      16.784      19.996\nDIS            1.0916      0.188      5.795      0.000       0.722       1.462\n==============================================================================\nOmnibus:                      139.779   Durbin-Watson:                   0.570\nProb(Omnibus):                  0.000   Jarque-Bera (JB):              305.104\nSkew:                           1.466   Prob(JB):                     5.59e-67\nKurtosis:                       5.424   Cond. No.                         9.32\n==============================================================================\n\nNotes:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n","output_type":"stream"}],"execution_count":75},{"cell_type":"markdown","source":"Because p_value 0.000 is smaller than the alpha of 0.05, we **reject the null hypothesis** that there is no relationship between DIS and MEDV","metadata":{}},{"cell_type":"code","source":"","metadata":{"trusted":true},"outputs":[],"execution_count":null}]}