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Regression Line plot


By : BlackfyreBastard
Date : July 30 2020, 11:00 AM
I hope this helps . The problem is you are doing multiple linear regression. You should expect a straight line if Engine size is the only factor affecting CO2 emissions. But there are other factors too. If you have 2 independent variables, you will get a plane in 3D. If you have n variables, you should expect a linear shape in the n-dimensional metric space.
code :


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ggplot2: Logistic Regression - plot probabilities and regression line


By : MZ4Frost
Date : March 29 2020, 07:55 AM
I wish this help you I have a data.frame containing a continuous predictor and a dichotomous response variable. , There are basically three solutions:
Merging the data.frames
code :
mydf <- merge( mydf, probs, by="position")
ggplot( mydf, aes(x=position, y=prob)) +
  geom_point() +
  geom_smooth(method = "glm", 
    method.args = list(family = "binomial"), 
    se = FALSE) 
librayr(plyr)
mydf <- ddply( mydf, "position", mutate, prob = mean(response)  )
ggplot( probs, aes(x=position, y=prob)) +
  geom_point() +
  geom_smooth(data = mydf, aes(x = position, y = response),
    method = "glm", method.args = list(family = "binomial"), 
    se = FALSE)

Getting the regression line to plot from a Pandas regression


By : Marina
Date : March 29 2020, 07:55 AM
Any of those help Check what values you have in your arrays and variables.
My guess is that your x is just nans, because you use Python's min and max. At least that happens with the version of Pandas that I have currently open.
code :
>>> x = pd.Series([np.nan,2], index=['const','slope'])
>>> x
const   NaN
slope     2
dtype: float64

>>> min(x)
nan
>>> max(x)
nan

>>> x.min()
2.0
>>> x.max()
2.0

scatter plot with single regression line instead of multiple regression lines


By : Zane
Date : March 29 2020, 07:55 AM
this one helps. In geom_smooth add color="black" (or whatever color you want) outside of aes. This will override the color aesthetic specified in the call to ggplot and result in a single regression line.
code :
geom_smooth(color="black", method="lm", se=FALSE, linetype="solid", fullrange=TRUE) +  
annotate(x=20, y=5, label=paste("R = ", round(cor(df$x1, df$value),2)), geom="text", size=4)

Unable to plot regression line correctly with scatter plot in Python


By : Gan Dul
Date : March 29 2020, 07:55 AM
seems to work fine In you drawLine function I changed ax.scatter to plt.scatter. I also changed roomBoard and accStudent to numpy arrays instead of pandas.Series. Finally I changed how you were updating the "private" column to
code :
X.loc[:, "Private"] = X.Private.map({'Yes':1, 'No':0})
import pandas as pd
import numpy as np
import matplotlib
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from sklearn import linear_model
from sklearn.model_selection import train_test_split

matplotlib.style.use('ggplot') # Look Pretty

# Reading in data
X = pd.read_csv('College.csv', index_col=0)

# Wrangling data
X.loc[:, "Private"] = X.Private.map({'Yes':1, 'No':0})

# Splitting data
roomBoard = X.loc[:, 'Room.Board'].values.reshape((len(X),1))
accStudent = X.loc[:, 'Accept'].values.reshape((len(X),1))
X_train, X_test, y_train, y_test = train_test_split(roomBoard, accStudent, test_size=0.3, random_state=7)

# Training model
model = linear_model.LinearRegression()
model.fit(X_train, y_train)
score = model.score(X_test, y_test)

# Visualise results
def drawLine(model, X_test, y_test, title, R2):
    fig = plt.figure()
    ax = fig.add_subplot(111)
    plt.scatter(X_test, y_test, c='g', marker='o')
    y_pred =  model.predict(X_test)
    plt.plot(X_test, y_pred, color='orange', linewidth=1, alpha=0.7)

    title += " R2: " + str(R2)
    ax.set_title(title)
    print(title)
    print("Intercept(s): ", model.intercept_)

    plt.xticks(())
    plt.yticks(())

    plt.show()

drawLine(model, X_test, y_test, "Accept(Room&Board)", score)

Plot regression line on a scatter plot from regression coefficients


By : John Buckingham
Date : March 29 2020, 07:55 AM
wish helps you Looks like the library is built so that you can pass its return res to a d3.line generator:
code :
...
let line = d3.line()
  .x((d) => x(d[0]))
  .y((d) => y(d[1]));

svg.append("path")
  .datum(res)
  .attr("d", line)
...
<!DOCTYPE html>
<html>

<head>
  <script src="https://d3js.org/d3.v5.min.js"></script>
  <script src="https://cdn.jsdelivr.net/gh/HarryStevens/d3-regression@master/dist/d3-regression.min.js"></script>

</head>

<body>
  <script>
    let dataLinear = [{
      x: 8,
      y: 3
    }, {
      x: 2,
      y: 10
    }, {
      x: 11,
      y: 3
    }, {
      x: 6,
      y: 6
    }, {
      x: 5,
      y: 8
    }, {
      x: 4,
      y: 12
    }, {
      x: 12,
      y: 1
    }, {
      x: 9,
      y: 4
    }, {
      x: 6,
      y: 9
    }, {
      x: 1,
      y: 14
    }]

    let linearRegression = d3.regressionLinear()
      .x(d => d.x)
      .y(d => d.y)
      .domain([-1.7, 16]);
    let res = linearRegression(dataLinear)

    let margin = {
        top: 30,
        right: 20,
        bottom: 30,
        left: 50
      },
      width = 600 - margin.left - margin.right,
      height = 270 - margin.top - margin.bottom;

    let x = d3.scaleLinear().range([0, width]);
    let y = d3.scaleLinear().range([height, 0]);

    let svg = d3.select("body")
      .append("svg")
      .attr("width", width + margin.left + margin.right)
      .attr("height", height + margin.top + margin.bottom)
      .append("g")
      .attr("transform",
        "translate(" + margin.left + "," + margin.top + ")");

    x.domain(d3.extent(dataLinear, (d) => d.x));
    y.domain(d3.extent(dataLinear, (d) => d.y));

    // Add the valueline path.
    svg.selectAll("circle")
      .data(dataLinear)
      .enter()
      .append("circle")
      .attr("r", 5)
      .style("fill", "steelblue")
      .attr("cx", (d) => x(d.x))
      .attr("cy", (d) => y(d.y));

    let line = d3.line()
      .x((d) => x(d[0]))
      .y((d) => y(d[1]));

    svg.append("path")
      .datum(res)
      .attr("d", line)
      .style("stroke", "steelblue")
      .style("stroke-width", "2px");

    svg.append("g")
      .attr("transform", "translate(0," + height + ")")
      .call(d3.axisBottom(x));

    svg.append("g")
      .call(d3.axisLeft(y));
  </script>
</body>

</html>
<!DOCTYPE html>
<html>

<head>
  <script src="https://d3js.org/d3.v5.min.js"></script>
  <script src="https://cdn.jsdelivr.net/gh/HarryStevens/d3-regression@master/dist/d3-regression.min.js"></script>

</head>

<body>
  <script>
    let dataLinear = [{
      x: 8,
      y: 3
    }, {
      x: 2,
      y: 10
    }, {
      x: 11,
      y: 3
    }, {
      x: 6,
      y: 2
    }, {
      x: 5,
      y: 2
    }, {
      x: 4,
      y: 12
    }, {
      x: 12,
      y: 1
    }, {
      x: 9,
      y: 4
    }, {
      x: 6,
      y: 9
    }, {
      x: 1,
      y: 14
    }]

    let quadRegression = d3.regressionQuad()
      .x(d => d.x)
      .y(d => d.y)
      .domain([-1.7, 16]);
    let res = quadRegression(dataLinear)

    let margin = {
        top: 30,
        right: 20,
        bottom: 30,
        left: 50
      },
      width = 600 - margin.left - margin.right,
      height = 270 - margin.top - margin.bottom;

    let x = d3.scaleLinear().range([0, width]);
    let y = d3.scaleLinear().range([height, 0]);

    let svg = d3.select("body")
      .append("svg")
      .attr("width", width + margin.left + margin.right)
      .attr("height", height + margin.top + margin.bottom)
      .append("g")
      .attr("transform",
        "translate(" + margin.left + "," + margin.top + ")");

    x.domain(d3.extent(dataLinear, (d) => d.x));
    y.domain(d3.extent(dataLinear, (d) => d.y));

    // Add the valueline path.
    svg.selectAll("circle")
      .data(dataLinear)
      .enter()
      .append("circle")
      .attr("r", 5)
      .style("fill", "steelblue")
      .attr("cx", (d) => x(d.x))
      .attr("cy", (d) => y(d.y));

    let line = d3.line()
      .x((d) => x(d[0]))
      .y((d) => y(d[1]));

    svg.append("path")
      .datum(res)
      .attr("d", line)
      .style("fill", "none")
      .style("stroke", "steelblue")
      .style("stroke-width", "2px");

    svg.append("g")
      .attr("transform", "translate(0," + height + ")")
      .call(d3.axisBottom(x));

    svg.append("g")
      .call(d3.axisLeft(y));
  </script>
</body>

</html>
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