"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"analytics.plot_correlation()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"# What is the distribution of each column?\n",
"\n",
"- They are not normal distributed, however, data with strong correlation shows similar distribution"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"analytics.plot_distributions()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# What is the initial multi regression model?\n",
"- P > |t| column says the chance of a model that built without this variable is same as the model built with this variable\n",
"- If the P value is big, means the variable have minor affect on the model (because the model likely will not change even when remove this column)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"train_multiple_regression\n"
]
},
{
"data": {
"text/html": [
"
\n",
"
OLS Regression Results
\n",
"
\n",
"
Dep. Variable:
y
R-squared:
0.908
\n",
"
\n",
"
\n",
"
Model:
OLS
Adj. R-squared:
0.906
\n",
"
\n",
"
\n",
"
Method:
Least Squares
F-statistic:
530.2
\n",
"
\n",
"
\n",
"
Date:
Sat, 25 Nov 2023
Prob (F-statistic):
2.55e-137
\n",
"
\n",
"
\n",
"
Time:
00:32:56
Log-Likelihood:
-881.16
\n",
"
\n",
"
\n",
"
No. Observations:
276
AIC:
1774.
\n",
"
\n",
"
\n",
"
Df Residuals:
270
BIC:
1796.
\n",
"
\n",
"
\n",
"
Df Model:
5
\n",
"
\n",
"
\n",
"
Covariance Type:
nonrobust
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
coef
std err
t
P>|t|
[0.025
0.975]
\n",
"
\n",
"
\n",
"
const
11.2549
1.864
6.037
0.000
7.584
14.925
\n",
"
\n",
"
\n",
"
gas_regm
-8.4979
2.283
-3.722
0.000
-12.993
-4.003
\n",
"
\n",
"
\n",
"
m_coil_brent_eu
0.5358
0.055
9.727
0.000
0.427
0.644
\n",
"
\n",
"
\n",
"
ppi_plastic_resins
0.2139
0.017
12.627
0.000
0.181
0.247
\n",
"
\n",
"
\n",
"
global_proce_of_rubber
-0.0004
0.014
-0.025
0.980
-0.029
0.028
\n",
"
\n",
"
\n",
"
ppi_nonpackaging_plastic
0.0027
0.006
0.421
0.674
-0.010
0.015
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
Omnibus:
22.574
Durbin-Watson:
0.408
\n",
"
\n",
"
\n",
"
Prob(Omnibus):
0.000
Jarque-Bera (JB):
57.291
\n",
"
\n",
"
\n",
"
Skew:
-0.336
Prob(JB):
3.63e-13
\n",
"
\n",
"
\n",
"
Kurtosis:
5.129
Cond. No.
2.11e+03
\n",
"
\n",
"
Notes: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. [2] The condition number is large, 2.11e+03. This might indicate that there are strong multicollinearity or other numerical problems."
],
"text/latex": [
"\\begin{center}\n",
"\\begin{tabular}{lclc}\n",
"\\toprule\n",
"\\textbf{Dep. Variable:} & y & \\textbf{ R-squared: } & 0.908 \\\\\n",
"\\textbf{Model:} & OLS & \\textbf{ Adj. R-squared: } & 0.906 \\\\\n",
"\\textbf{Method:} & Least Squares & \\textbf{ F-statistic: } & 530.2 \\\\\n",
"\\textbf{Date:} & Sat, 25 Nov 2023 & \\textbf{ Prob (F-statistic):} & 2.55e-137 \\\\\n",
"\\textbf{Time:} & 00:32:56 & \\textbf{ Log-Likelihood: } & -881.16 \\\\\n",
"\\textbf{No. Observations:} & 276 & \\textbf{ AIC: } & 1774. \\\\\n",
"\\textbf{Df Residuals:} & 270 & \\textbf{ BIC: } & 1796. \\\\\n",
"\\textbf{Df Model:} & 5 & \\textbf{ } & \\\\\n",
"\\textbf{Covariance Type:} & nonrobust & \\textbf{ } & \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"\\begin{tabular}{lcccccc}\n",
" & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n",
"\\midrule\n",
"\\textbf{const} & 11.2549 & 1.864 & 6.037 & 0.000 & 7.584 & 14.925 \\\\\n",
"\\textbf{gas\\_regm} & -8.4979 & 2.283 & -3.722 & 0.000 & -12.993 & -4.003 \\\\\n",
"\\textbf{m\\_coil\\_brent\\_eu} & 0.5358 & 0.055 & 9.727 & 0.000 & 0.427 & 0.644 \\\\\n",
"\\textbf{ppi\\_plastic\\_resins} & 0.2139 & 0.017 & 12.627 & 0.000 & 0.181 & 0.247 \\\\\n",
"\\textbf{global\\_proce\\_of\\_rubber} & -0.0004 & 0.014 & -0.025 & 0.980 & -0.029 & 0.028 \\\\\n",
"\\textbf{ppi\\_nonpackaging\\_plastic} & 0.0027 & 0.006 & 0.421 & 0.674 & -0.010 & 0.015 \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"\\begin{tabular}{lclc}\n",
"\\textbf{Omnibus:} & 22.574 & \\textbf{ Durbin-Watson: } & 0.408 \\\\\n",
"\\textbf{Prob(Omnibus):} & 0.000 & \\textbf{ Jarque-Bera (JB): } & 57.291 \\\\\n",
"\\textbf{Skew:} & -0.336 & \\textbf{ Prob(JB): } & 3.63e-13 \\\\\n",
"\\textbf{Kurtosis:} & 5.129 & \\textbf{ Cond. No. } & 2.11e+03 \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"%\\caption{OLS Regression Results}\n",
"\\end{center}\n",
"\n",
"Notes: \\newline\n",
" [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
" [2] The condition number is large, 2.11e+03. This might indicate that there are \\newline\n",
" strong multicollinearity or other numerical problems."
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.908\n",
"Model: OLS Adj. R-squared: 0.906\n",
"Method: Least Squares F-statistic: 530.2\n",
"Date: Sat, 25 Nov 2023 Prob (F-statistic): 2.55e-137\n",
"Time: 00:32:56 Log-Likelihood: -881.16\n",
"No. Observations: 276 AIC: 1774.\n",
"Df Residuals: 270 BIC: 1796.\n",
"Df Model: 5 \n",
"Covariance Type: nonrobust \n",
"============================================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"--------------------------------------------------------------------------------------------\n",
"const 11.2549 1.864 6.037 0.000 7.584 14.925\n",
"gas_regm -8.4979 2.283 -3.722 0.000 -12.993 -4.003\n",
"m_coil_brent_eu 0.5358 0.055 9.727 0.000 0.427 0.644\n",
"ppi_plastic_resins 0.2139 0.017 12.627 0.000 0.181 0.247\n",
"global_proce_of_rubber -0.0004 0.014 -0.025 0.980 -0.029 0.028\n",
"ppi_nonpackaging_plastic 0.0027 0.006 0.421 0.674 -0.010 0.015\n",
"==============================================================================\n",
"Omnibus: 22.574 Durbin-Watson: 0.408\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 57.291\n",
"Skew: -0.336 Prob(JB): 3.63e-13\n",
"Kurtosis: 5.129 Cond. No. 2.11e+03\n",
"==============================================================================\n",
"\n",
"Notes:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"[2] The condition number is large, 2.11e+03. This might indicate that there are\n",
"strong multicollinearity or other numerical problems.\n",
"\"\"\""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"analytics.train_multiple_regression()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# What is the effect size of each columns? How to perform ANOVA ?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# What is the ordinal least squared regression model formula? "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'11.25487003334793 + gas_regm * -8.498 + m_coil_brent_eu * 0.536 + ppi_plastic_resins * 0.214 + global_proce_of_rubber * -0.0 + ppi_nonpackaging_plastic * 0.003'"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"analytics.multiple_regression_formula"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# What is the coefficient of determination (r-squared) for each independent variable?\n",
"- Meaning, in what percentage each independent variable can explain the target columns?"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/qiaozhang/Desktop/sentient-dev/snr_demand-forecasting/notebooks/../src/analytics/ts_analytics.py:173: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n",
" beta_plot.set_xticklabels(beta_plot.get_xticklabels(), rotation=45)\n"
]
},
{
"data": {
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",
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