Gráfico de dispersão no Excel

FM2S Educação e Consultoria
30 May 202207:33

Summary

TLDRThe video script introduces viewers to the power of Excel's built-in functions for analyzing relationships between variables, specifically focusing on scatter plots and regression analysis. It demonstrates how to use Excel to plot data points, adjust chart designs, and interpret the results, such as the equation of a regression line and the R-squared value. The script also mentions advanced features for multiple linear regression and hypothesis testing, suggesting a dedicated Excel statistics course for deeper understanding. The example used is family income versus food expenditure to show the correlation and predict spending habits.

Takeaways

  • 📊 The script introduces a method for using Excel to create scatter plots and regression lines to analyze relationships between variables.
  • 🛠️ Excel's built-in functions are highlighted as user-friendly tools for creating scatter plots, including the addition of regression lines.
  • 🔍 The importance of understanding how to use Excel for statistical analysis in the context of Six Sigma projects is emphasized.
  • 📈 The script provides a practical example of using Excel to analyze the relationship between family income and food expenditure.
  • 🔢 Data is presented in a table format with families' income and food expenditure, illustrating how to select and plot data points.
  • 🔄 The process of selecting variables and plotting them in Excel is described, including how to invert the order for X and Y axis if needed.
  • 🎨 Customization options for the scatter plot design are mentioned, such as adding axis labels and choosing different chart styles.
  • 📊 The script explains how the regression line and R-squared value can be used to interpret the correlation and predict outcomes.
  • 🤔 The discussion touches on the limitations of regression analysis, noting that individual differences can lead to variations not explained by the model.
  • 📚 A reference is made to a more advanced Excel statistics course for those interested in deepening their knowledge and skills.
  • 🚀 The script concludes by suggesting that in a future session, the application of these tools within project improvements will be explored.

Q & A

  • What is the main purpose of using scatter plots in the context discussed in the transcript?

    -The main purpose of using scatter plots in the discussed context is to help visualize associations between variables, which can aid in identifying improvements or insights for projects such as Six Sigma. The scatter plot with a regression line illustrates how variables correlate with each other, which is crucial for data analysis in process improvement projects.

  • How does Excel facilitate the creation of scatter plots?

    -Excel facilitates the creation of scatter plots through its native graphing functions, which are simple to use. Users can easily select variables to be plotted and insert a scatter plot directly from the 'Insert' menu. Excel also allows adding regression lines automatically to scatter plots, which helps in understanding the relationship between the variables.

  • What is a regression line, and why is it useful in scatter plots?

    -A regression line is a line of best fit through the data points in a scatter plot, used to model the relationship between two quantitative variables. It is useful because it provides a visual representation of the correlation between the variables, and can be used to make predictions about one variable based on the other, indicating the strength and direction of their relationship.

  • What is the function of the additional plugin mentioned for Excel, and what is its previous name?

    -The additional plugin mentioned for Excel, previously known as 'Stitch Know Where This Way,' is designed to handle more complex statistical analyses like multiple linear regression, hypothesis testing, and analysis of variance. This plugin offers advanced functionality that extends beyond Excel's native features, making it easier to perform sophisticated data analysis.

  • What is R-squared, and how is it interpreted in the context of regression analysis?

    -R-squared is a statistical measure that represents the proportion of variance in the dependent variable that is predictable from the independent variable(s). In the context of regression analysis, a higher R-squared value indicates a better fit of the model to the data. For example, an R-squared value of 0.91 suggests that 91% of the variance in the dependent variable can be explained by the independent variable.

  • How can one modify the variables displayed on the X and Y axes in an Excel scatter plot?

    -In Excel, to modify the variables displayed on the X and Y axes of a scatter plot, one can either switch the order of the columns in the data table or use the 'Select Data' option in the chart tools. This allows the user to edit the data series and specify which column should represent the X or Y variable.

  • What additional information can be obtained directly from a scatter plot in Excel?

    -From a scatter plot in Excel, additional information such as the equation of the regression line and the R-squared value can be displayed. This information is useful for understanding the exact relationship between variables and assessing the predictive accuracy of the regression model.

  • What does the coefficient in the regression equation indicate in practical terms?

    -The coefficient in the regression equation indicates the rate of change in the dependent variable for every one-unit increase in the independent variable. For example, a coefficient of 0.25 means that for every unit increase in income, there is a 25% increase in spending on food, demonstrating the direct impact of one variable on another in quantifiable terms.

  • How can Excel be used to handle more complex statistical analyses?

    -Excel can handle more complex statistical analyses by utilizing additional plugins that enhance its native capabilities, such as the one mentioned in the script for multiple linear regression and variance analysis. These tools integrate with Excel to allow for more detailed and sophisticated data analysis, suitable for advanced statistical needs.

  • What options are available in Excel for customizing the appearance of a scatter plot?

    -Excel offers various options for customizing scatter plots, including changing the design and layout of the chart, adding chart elements like axes titles and labels, and selecting from predefined styles and colors to enhance visual appeal and clarity. Users can access these options through the 'Chart Design' and 'Format' tabs in Excel.

Outlines

00:00

📊 Introduction to Scatter Plots and Regression Analysis in Excel

This paragraph introduces the audience to the use of Excel for creating scatter plots and performing regression analysis. It emphasizes the native functions of Excel and how they can be utilized to trace these graphs easily. The speaker mentions a specific function that can generate a scatter plot, including a regression line, which is a simple yet effective tool. The paragraph also alludes to more advanced features and techniques, such as multiple linear regression and hypothesis testing, which are covered in-depth in a dedicated Excel statistics course. The main theme is to familiarize the audience with the basic tools for seeking improvements in a Six Sigma project through statistical analysis.

05:02

📈 Interpreting the Scatter Plot and Regression Analysis Results

In this paragraph, the speaker dives into the interpretation of the scatter plot and regression analysis results using the example of family income versus food expenditure. The speaker explains how the scatter plot reveals a strong correlation between the two variables, with an increase in family income leading to an increase in food expenditure. The paragraph also discusses the R-squared value, which indicates the proportion of the variance for the dependent variable that's explained by the independent variables. Additionally, the speaker points out that while income is a significant factor, there are other influences at play, such as culture or proximity to expensive restaurants, which may cause variations in expenditure among families with similar incomes. The summary underscores the importance of understanding these nuances for accurate prediction and decision-making.

Mindmap

Keywords

💡Scatter plot

A scatter plot is a graphical representation used to display values for two variables for a set of data. It shows the relationship between two quantitative variables, typically with one variable on each axis. In the script, the speaker uses a scatter plot to illustrate the relationship between family income and spending on food, where each point represents a family's data.

💡Excel

Excel is a widely used spreadsheet application developed by Microsoft. It is known for its powerful data analysis, charting, and calculation capabilities. In the context of the video, Excel is utilized to create scatter plots and perform regression analysis, showcasing its native functions for data visualization and statistical analysis.

💡Regression line

A regression line, also known as the line of best fit, is a straight line that best represents the data on a scatter plot. It is used to summarize the relationship between two variables and make predictions. The equation of the line can be derived using the method of least squares. In the script, the regression line is automatically included in the scatter plot to show the trend of the data points.

💡Multiple regression

Multiple regression is a statistical method that analyzes the relationship between one dependent variable and two or more independent variables. It allows researchers to understand how the value of the dependent variable changes when any of the independent variables are varied, while the other independent variables are held fixed. In the script, the speaker mentions multiple regression as a more advanced technique for analyzing data with multiple predictors.

💡Stitch Know Where

Stitch Know Where, also known as 'Stitch', is a term mentioned in the script that seems to be a reference to a feature or tool within Excel. However, it is not a standard term or feature in Excel as known up to the knowledge cutoff date. It might be a colloquial or regional term for a specific function or add-in that the speaker is familiar with.

💡Hypothesis testing

Hypothesis testing is a statistical method that is used to make decisions based on data. It involves formulating a null hypothesis and an alternative hypothesis, collecting data, and using statistical tests to determine if there is enough evidence to reject the null hypothesis. In the context of the video, hypothesis testing is mentioned as a part of the advanced statistical analysis that can be performed using Excel or other specialized tools.

💡ANOVA (Analysis of Variance)

ANOVA, or Analysis of Variance, is a statistical technique used to determine if there are any significant differences between the means of three or more groups. It is used to analyze the variability among group means and compare them to the overall variability in the data. The speaker mentions ANOVA as part of the advanced statistical analysis that can be performed using Excel.

💡Excel plugin

An Excel plugin is a software module that adds specific functionality to the Excel application. Plugins can enhance the capabilities of Excel by providing additional tools, features, or functions that are not available in the standard version of the program. In the script, the speaker mentions a plugin for Excel that is used for more advanced statistical analysis.

💡Green Belt

Green Belt is a term often associated with Six Sigma methodologies, referring to individuals who have basic knowledge of Six Sigma principles and tools but may not be as fully trained as a Yellow Belt or Black Belt. In the context of the video, the speaker suggests that someone with a Green Belt might find value in learning to use Excel as a tool for data analysis and improvement projects.

💡Correlation

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. A strong correlation between two variables suggests that as one variable changes, the other variable tends to change as well, although it does not imply causation. In the video, the speaker uses a scatter plot to demonstrate the correlation between family income and spending on food.

💡R-squared

The R-squared, or coefficient of determination, is a statistical measure that represents the proportion of the variance in the dependent variable that is predictable from the independent variables. It provides a good indication of how well the observed outcomes are replicated by the model, with values ranging from 0 to 1. In the script, the R-squared value is mentioned as a metric to evaluate how much of the variation in spending on food can be explained by the variation in family income.

💡Predictor variables

Predictor variables, also known as independent variables, are the variables used to predict the outcome or the dependent variable's behavior in a statistical model. In the context of the video, the predictor variables are the factors that might influence the response variable, such as family income predicting spending on food.

Highlights

Introduction to association tools for variable analysis and their benefits in 100 Sigma project design.

Excel is chosen for its native functions to easily plot scatter graphs, including regression lines.

Explaining the simple use of Excel's scatter plot function for basic predictive analysis.

Mention of more advanced tools like multiple linear regression for complex problem-solving.

Highlighting the ease of use and advanced functionalities of Excel's数据分析工具 (Data Analysis ToolPak).

Teaching how to perform hypothesis testing and variance analysis using Excel's tools.

Reference to an Excel statistics course for deeper understanding and learning.

Demonstration of using a simple scatter plot in the context of family income and food expenditure.

Explanation of how to select variables and plot a basic scatter plot in Excel.

Observation of correlation between family income and food expenditure from the scatter plot.

Customizing the scatter plot with axis labels and additional design elements.

Discussion of regression line and R-squared value for deeper analysis.

Interpretation of the regression equation and its components, such as the intercept and coefficient.

Highlighting the limitations of regression analysis and the influence of other factors.

Mention of using Excel's native functions for practical problem-solving and improvement.

Preview of the next session focusing on implementing these tools within projects.

Transcripts

play00:00

o Olá pessoal então antes da gente

play00:02

entrar mesmo não case de gráfico de

play00:04

dispersão para mostrar para você como

play00:06

que essas ferramentas de associação

play00:08

entre variáveis podem te ajudar a buscar

play00:10

uma melhoria ou no projeto de 100 Sigma

play00:13

eu queria mostrar para vocês uma

play00:15

ferramenta que vão ajudar que vai ajudar

play00:17

você a traçar esses gráficos né é e como

play00:20

a gente vem fazendo aqui no aí aluguel a

play00:22

gente escolheu Excel para fazer isso não

play00:23

é precisamente as funções nativas do

play00:25

Excel ele tem uma função bem legal que

play00:27

Improta muito fácil o gráfico de

play00:30

dispersão inclusive com uma linha de

play00:32

regressão que dá conta daquele das

play00:36

nossas armas mais simples né quando eu

play00:37

tenho um preditor continue uma variável

play00:40

de resposta com Tina se você quiser ir

play00:43

mais punk né e resolver problemas por

play00:45

exemplo de regressão linear múltipla

play00:46

onde eu tenho é várias variáveis

play00:49

preditoras quero saber que influencia

play00:51

que não influencia em uma variável é

play00:54

continuar de resposta também dá para

play00:56

fazer só que você vai ter que puxar um

play00:58

pudinzinho

play01:00

o exército gente gosta muito de um pudim

play01:02

chama o Stitch know Where This Way como

play01:05

era o nome antigo dele ele é um pulinho

play01:08

muito fácil de mexer que tem um

play01:10

algumas funcionalidades muito avançadas

play01:13

e muito muito fácil de trabalhar é que

play01:16

vão ajudar você fazer a regressão linear

play01:17

múltipla Vou ensinar você a fazer teste

play01:21

de hipóteses análise de variância então

play01:24

ele cobre bem aí essa parte estatística

play01:26

mais ferrada tá mais aqui não é lugar

play01:29

gente vai passar porque a ideia é nós

play01:32

ficarmos mesmo sabendo usar a ferramenta

play01:35

né como é que eu uso um gráfico é mesmo

play01:37

simples no contexto para procurar

play01:40

aquelas pequenas melhorias Mas se você

play01:41

quiser se aprofundar dentro assinatura

play01:44

gente tem um curso lá que é o

play01:47

estatística Excel então a gente ensina

play01:49

usar esse plugin todas as

play01:50

funcionalidades ele faz pede normalidade

play01:52

nós faz um milhão de teste temos um

play01:54

exercício então dá para você aprofundar

play01:57

lá a gente tem recomenda se você tiver

play01:59

fazendo Green Belt e me deu uma olhada

play02:00

naquele curso para ter o Excel como uma

play02:03

alternativa mas aqui a gente vai ver

play02:05

Essas funções mais simples que também

play02:07

ajudam a gente muito na hora de resolver

play02:09

esse problema vamos dar uma olhadinha

play02:11

então para isso Preparei um banco de

play02:13

dados é avenida que o nosso banco de

play02:16

dados então eu tenho esse problema aqui

play02:19

então tenho dado lá é com dois

play02:21

preditores continuar então tenho a renda

play02:23

familiar e eu tenho o gasto com

play02:26

alimentação e cada linha é uma família

play02:29

então você vê aqui 25 famílias anotei

play02:33

quanto que ela ganhava em unidades

play02:35

monetárias padronizados e quanto que ela

play02:38

gastava ali que a renda familiar tá para

play02:41

fazer o gráfico ele depressão é muito

play02:42

muito simples basta selecionar essas

play02:46

duas variáveis aqui vou lá em inserir

play02:48

vem aqui em gráfico de dispersão né é

play02:51

essas bolinhas e seleciona aqui direto o

play02:54

gráfico de dispersão na que eu mais

play02:56

simples então ele já me dá esse cara

play02:59

aqui né ou se ele pegar sempre a segunda

play03:01

coluna como sendo variável Y então aqui

play03:03

eu tenho é esse cara que Y né que é a

play03:07

renda da família ao gasto com

play03:08

alimentação EA renda familiar em x que a

play03:11

gente gostaria se você quiser mudar você

play03:13

pode inverter a ordem das colunas aqui

play03:15

na sua tabela ou e ou Iraque né em aqui

play03:20

no mais né é perdão aquele que o botão

play03:23

direita e você vem em selecionar e dados

play03:27

daqui em selecionar idades tem lá o

play03:29

gasto com alimentação se você clicar em

play03:31

editar sem seleciona qual é a série que

play03:34

você tem valor de x e qual que é série

play03:36

de valor de y no caso de tá usando a

play03:38

coluna A como sendo X EA coluna B como

play03:41

você não dá para você inverter esse

play03:43

daqui eu não quero fazer isso aqui tudo

play03:45

bem olhando para esse gráfico a gente

play03:47

percebe que tem uma boa correlação né

play03:50

então quanto mais você aumenta a renda

play03:53

familiar mais você aumenta o gasto com

play03:56

alimentação na frente mas quanto mais

play03:58

você ganha mais sossegado a unha você

play04:02

dorme com poder selecionar alguns

play04:03

layouts né aqui dentro de design do

play04:06

gráfico e se você clica no gráfico de

play04:08

habilita isso vendo essa opção design do

play04:10

gráfico tem alguns designs que mostram a

play04:15

tenha nenhum eixo né para

play04:17

para nossa para o nosso eixo mas tem um

play04:20

rótulo para vocês então aqui você pode

play04:23

vir escrever

play04:24

renda né então aqui a renda familiar EA

play04:28

que você pode escrever lá o gasto né

play04:31

gasto com alimentação né então aqui a

play04:34

gente tem esse gasto bem delimitado né

play04:36

ele até deu uma linha ali trás você já

play04:38

certo aí ele também dá uma curva de

play04:41

regressão então se você entrar aqui né

play04:43

out Rápido foi nesse nesse negócio que

play04:46

tem um f de x aqui também FX que ele da

play04:49

função uzinha hora que eu clico aqui ele

play04:51

me dá a equação da reta e o r quadrado

play04:54

né ficção você quiser análise de

play04:56

regressão né o r quadrado ele fala para

play04:59

gente ou o centro de avaliação do gasto

play05:01

é explicado pela variação da renda Norte

play05:04

a gente tem 91 na é por cento sendo

play05:08

explicado do gás da versão do gás em

play05:10

explicado pela variação da Reno seja é

play05:13

sabendo só renda eu tenho uma predição

play05:16

ali muito boa a gente estimar o nosso

play05:19

gás né

play05:20

Lógico que tem famílias que têm rendas

play05:23

parecidas Mas elas têm gastos diferentes

play05:25

para gente pegar essas três famílias

play05:26

aqui aí ou essas duas famílias de renda

play05:29

alta tem outras coisas que influenciam

play05:32

né nisso né não é só arrendar pode ser a

play05:34

cultura o lugar que eles moram ou fato

play05:37

de um restaurante caro e bom perto da

play05:40

casa deles que faz ele ser esse cara e

play05:42

não ser reciclado né mas é todas essas

play05:44

diferenças individuais dos homens assim

play05:46

mesma renda correspondem só mas menos

play05:49

nove porcento da variação total que você

play05:51

pode ter essa variável beleza a outra

play05:53

coisa que me da equação da reta né Y = 1

play05:58

[Música]

play06:00

Aí sim né então 0,25 x né mais 5,4 né

play06:05

que significa isso bom os 5,4 ele é o

play06:08

valor de y quando x 0 né então é onde a

play06:12

reta toca o Y tem uma família que não

play06:15

ganha nada que tem zero renda quanto que

play06:18

ele ganha o perdão quanto que ele vai

play06:19

gastar com alimento ele vai gastar 5,4

play06:22

unidades monetárias e esse coeficiente é

play06:25

que significa o quanto o quanto por

play06:27

cento né de cada unidade Nova de renda é

play06:29

existe de alimentação então aqui a gente

play06:31

tem lá 25 por cento e vinte e seis por

play06:33

cento né então a cada uma unidade

play06:35

monetária que você ganha mais na renda é

play06:38

provável que você gaste ali 26 named

play06:41

você vai gastar

play06:43

26 centavos né o 26 por cento daquela

play06:47

nova unidade e monetária em alimentação

play06:51

então aqui a gente tem essa visão muito

play06:54

legal Dá pra gente aprender muita coisa

play06:55

boa Só usando nessa função Nativa do

play06:58

Excel beleza gente então isso é como a

play07:01

gente se implementa né de novo se você

play07:02

quiser aprofundar mas nessas análise dá

play07:05

para você usar gráficos estratificados o

play07:09

militar meu dá para você também usar o r

play07:11

Sul e para fazer ótimas mais mais por

play07:14

várias vezes o velho e bom Excel vai

play07:17

resolver nosso problema Ok então na

play07:19

próxima aula vamos dar uma olhadinha num

play07:21

queijo de como que a gente pega isso que

play07:22

a gente vendeu agora implementa dentro

play07:25

dos nossos projetos e melhorias até mais

Rate This

5.0 / 5 (0 votes)

Related Tags
DataVisualizationExcelTipsRegressionAnalysisSigmaProjectsStatisticalToolsEconomicAnalysisFoodExpenditureIncomeCorrelationMultipleRegressionStatisticalLearning