chapter 4 summary scatter diagrams of data pairs (x, y) are useful in helping us determine visually...

3

Chapter 4 Summary Scatter diagrams of data pairs (x , y) are useful in helping us determine visually if there is any relation between x and y values and, if so, how strong the relation might be. We call x the explanatory variable and y the response variable. Chapter 4 Summary / 1

Upload: roderick-moore

Post on 13-Dec-2015

218 views

Category:

Documents

4 download

Report

Download

Embed Size (px):

TRANSCRIPT

Page 1: Chapter 4 Summary Scatter diagrams of data pairs (x, y) are useful in helping us determine visually if there is any relation between x and y values and,

Chapter 4 Summary

Scatter diagrams of data pairs (x , y) are useful in helping us determine visually if there is any relation between x and y values and, if so, how strong the relation might be.

We call x the explanatory variable and y the response variable.

Chapter 4 Summary / 1

Page 2: Chapter 4 Summary Scatter diagrams of data pairs (x, y) are useful in helping us determine visually if there is any relation between x and y values and,

Summary cont.

The correlation coefficient r gives a numerical measurement assessing the strength of a linear relationship between two variables x and y based on a random sample of data pairs (x , y).

The value of r ranges from -1 to 1, with 1 indicating perfect positive linear correlation,

-1 indicating perfect negative linear correlation and 0 indicating no linear correlation.

The closer the sample statistic r is to 1 or -1, the stronger the linear correlation.

Chapter 4 Summary / 2

Page 3: Chapter 4 Summary Scatter diagrams of data pairs (x, y) are useful in helping us determine visually if there is any relation between x and y values and,

Summary cont.If the scatter diagram and the correlation coefficient r

indicate a linear relationship, then we use the least-squares criterion to develop the equation of the

least-squares line between the explanatory variable x and the response variable y

Where is the value of y predicted by the least-squares line, a is the y-intercept and

b is the slope.The coefficient of determination is a value that

measures the proportion of variation in y explained by the least-squares line.

Chapter 4 Summary / 3

y a bx y

2r

11.2 Scatter Plots. Scatter Plots Example: What is the relationship here? Is the data on the x-axis…

Algebra Days 1-10 · a2 a x a y³ ÷ y 4 = y³ = y x y x y = 1 = y −1 y4 y x y x y x y y 1 (y³)² = (y x y x y )² = y x y x y x y x y x y = y 6 y0 = 1 Recognising and collecting

HEAD-SCATTER MEASUREMENT · 2019. 6. 27. · © 2010 Standard Imaging, Inc. 1211-21, 2/10 • HEAD-SCATTER MEASUREMENT Measure head-scatter factors down to a 3 cm x 3 cm field size

K x x y x - WordPress.com · 2018. 6. 10. · 6 Q | x | y a x { x y | | y | | : ^ x x x | x { x x x x x | | x x y | x , x { x x x ~

R Z Y X Wx X Y X R X Z Y X Y X Y X Y X Y X Y X Y X ΩY ΩY X ...pages.cs.wisc.edu/~jerryzhu/pub/NIPS10_MC_poster.pdf · Transduction with Matrix Completion: Three Birds with One Stone

Wisteria 2016 - julie lewis agency · PDF filesahara 3 seater sofa natural (scatter cushions not included) u037-3-2 | w252cm x d104cm x h80cm mojo 3 seater sofa natural (scatter cushions

7.1: Systems of Linear Equations (2 Variables) y x y x y x y = ½ x –3 y = (-2/3)x + 2 One Solution (x, y) y = ½ x - 3 y = ½ x + 2 No Solutions y = ½ x

Beer's law scatter plot and trend line (linear regression)site.iugaza.edu.ps/hsbaihi/files/s-law-scatter-plot-and-trend-line.pdf · y = mx + C y = dependent variable x = independent

NeuralContextualCodeSearch - WordPress.com...3.plt.imshow@cmap (1%) make a scatter plot of x vs y where x and y are sequence like objects of the same length the alpha blending value

Warm Up 1. Find the x- and y-intercepts of 2x – 5y = 20. Describe the correlation shown by the scatter plot. 2. x-int.: 10; y-int.: –4 negative

Two-Variable Analysis: Simple Linear Regression/ …meonline.engin.umich.edu/mcourses/modules/Blackbelt/… · · 2010-01-092 Topics I. Scatter Plot (X-Y Graph) II. Simple Linear

3D Scatter Plots - NCSS · 2020-02-10 · 3D Scatter Plots Introduction The 3D scatter plot displays trivariate points plotted in an X-Y-Z grid. It is particularly useful for investigating

Modeling of scatter radiation during interventional X-ray ...826933/FULLTEXT01.pdf · Modeling of scatter radiation during interventional X-ray procedures Emelie Rehn 2015-06-24 Linköping,

Programmazione Orientata agli Oggetti e Scripting in Python · Matplotlib extra concepts scatter(x, y, c = colors, cmap = colormap) Make a scatter plot of x vs y x,y: sequence like

MSML 605 - Lecture 5nayeem/courses/MSML605/files/05_Least... · 2020-04-03 · SCATTER PLOT Plot all (X i, Y i) pairs, and plot your learned model 4 0 20 40 60 0 20 40 60 X Y [WF]

Scatter Correction in X-Ray CT by Physics-Inspired Deep

X-Y Scatter graphs (Excel) - University of Minnesota...X-Y Scatter graphs (Excel) The spreadsheet ... Changing the default graph to a well-labeled, clear X-Y Scatter of only the Beta

Scatter Plots and Line of Best Fit. DETERMINING THE CORRELATION OF X AND Y In this scatter plot, x and y have a positive correlation, which means that

>> x=rand(2,10000); %uniform in square >> ix=find(x(1,:)> x=x(:,ix); >> plot(x(1,:),x(2,:),'*'); %scatter plot

Figure S1: Scatter plots of DNA methylation determined by Illumina (X-axis) and pyrosequencing (Y-axis) at overlapping CpG sites. Grey diamonds are cases

PART III : CORRELATION AND REGRESSIONpeople.math.binghamton.edu/jbrennan/home/S13MAT148/...Scatter Diagram The type of relationship (if any) between x and y may be established from

Rayleigh scatter in kilovoltage x-ray imaging: is the …epubs.surrey.ac.uk/739073/1/Rayleigh.pdf · Rayleigh scatter in kilovoltage x-ray imaging: is the Independent Atom Approximation

Town of MinocquaTRL Voting Wards · 2018. 1. 3. · xy xy xy xy xy xy xy xy xy xy xy xy xy xy xy xy xy xy x y x y x y x y x y x y x x x x y x y x y x y x y x y x y x y x y x y x y

Experimental measurement of x-ray scatter at stacks.iop.org/PMB/55/2269 Abstract Compton scatter poses a signiﬁcant threat to volumetric x-ray computed tomography, bringing cupping

Scatterplots: Basics, enhancements, problems and solutions · i t y (p e r X X X) InfantM ortality Loess Loess, S m ooth= 0.2 R egression Figure 3: Scatter plot with loess lines That

City of Athens Official Zoning Map August 21, 2014 MAP LEGEND of Athens Official Zoning … · x y x y xy x x y x y x y x y x y x y x y x y x y x y x y x y x y x y x y x y x y x y

Lecture 23 - stat.purdue.eduxuanyaoh/stat350/xyApr6Lec26.pdf · Review 1. Scatter plots –Used to plot sample data points for bivariate data (x, y) –Plot the (x,y) pairs directly

NMHC Internship Manual 2019-2020 Final NMHC Psychology... · ï 7deoh ri &rqwhqwv :hofrph dqg 2xu 0lvvlrq y y y y y y y y y y y y x x x x x x x x x x x x x x x x x x x x x x x x x

ö - Echo360€¦ · - /$)"x )x #*÷ûôx1$ *x ..$")( )/x$)x/# x ** ' x x + " xõx*!xö yyyyy y # y1$ *y ..$")( )/y! /0- y ''*2.y./0 )/.y/*y - / y $/y( ) " y ) y.0 ($/y1$ *y *)/ )/y!*-

Pencil beam coded aperture x-ray scatter imaging

Scatter Attenuation Tomography (SAT): A Novel X-Ray ......Scatter Attenuation Tomography (SAT): A Novel X-Ray Technique for Material Identification Peter Rothschild, Paul Bradshaw,

Chapter 161 Scatter Plots - ncss.com · Scatter Plots Introduction The x-y scatter plot is one of the most powerful tools for analyzing data. NCSS includes a host of features to enhance

Investigating Scatter Plots. Scatter plots are similar to line graphs in that each graph uses the horizontal ( x ) axis and vertical ( y ) axis to plot

Linear and affine functions - Slope-intercept form...-3-65) x y 66) x y 67) x y 68) y 69) x y 70) x y 71) x y 72) x y 73) x y 74) y 75) x y 76) x y 77) x y 78) x y 79) x y 80 ) x y

Section #6 November 13 th 2009 Regression. First, Review Scatter Plots A scatter plot (x, y) x y A scatter plot is a graph of the ordered pairs (x, y)