2.2.3 Graphical Analysis

• Graphical analysis uses visual aids such as graphs
• Match the graph type with its purpose:

  Line Graph ↔️ Shows change over time

  Scatter Plot ↔️ Identifies relationships

  Bar Chart ↔️ Compares values across categories
• What type of graph is used to compare values of a variable across different categories?

  Bar Chart
• What type of graph is used to show the relationship between two continuous variables?

  Scatter Plot
• What does graphical analysis allow researchers to do quickly and effectively?

  Communicate key insights
• Steps to plot data points on a graph

  1️⃣ Set up the axes

  2️⃣ Choose a scale

  3️⃣ Plot the data points
• The slope of a linear graph is calculated as the change in x-value divided by the change in y-value.

  False
• The intercept of a linear graph is the y-value where the line crosses the y-axis, which occurs when x equals zero
• Graphical analysis is the process of representing data visually using graphs
• Steps to plot data points on a graph

  1️⃣ Set up the axes and label them

  2️⃣ Choose appropriate scales for each axis

  3️⃣ Mark each data point based on its coordinates
• Steps to create a best-fit line

  1️⃣ Plot the data points on a scatter plot

  2️⃣ Draw a line representing the general direction of the data

  3️⃣ Adjust the line to minimize distances from data points
• Steps to create a best-fit line in the correct order:

  1️⃣ Plot data points

  2️⃣ Draw initial line

  3️⃣ Adjust line
• What shapes can nonlinear graphs have?

  Curved, exponential, complex
• Match the graph type with its purpose:

  Scatter Plot ↔️ Identifying relationships between variables

  Line Graph ↔️ Showing changes over time

  Bar Chart ↔️ Comparing values across categories

  Histogram ↔️ Displaying distribution of data
• The slope of a linear graph is calculated as the change in x-value divided by the change in y-value.

  False
• What insights can analyzing nonlinear graphs provide?

  Underlying relationships
• Each data point on a graph is defined by its coordinates
• The slope and intercept of a linear graph provide important information about the relationship
• What is the y-value called when the line crosses the y-axis in a linear graph?

  Intercept
• Match the graph type with its purpose:

  Scatter Plot ↔️ Identifying relationships between two continuous variables

  Line Graph ↔️ Showing how a variable changes over time

  Bar Chart ↔️ Comparing values across categories
• Creating a best-fit line involves adjusting it until the distances between the data points and the line are minimized


  True
• What is the first step in creating a best-fit line?

  Plot the data points
• Nonlinear graphs have a constant rate of change between the variables.

  False
• What is the purpose of graphical analysis?

  Identify relationships and trends
• Steps to plot data points on a graph in the correct order:

  1️⃣ Set up the axes

  2️⃣ Choose a scale

  3️⃣ Plot the data points
• Match the nonlinear graph type with its meaning:

  Exponential ↔️ Rapid growth or decay

  Logarithmic ↔️ Proportional relationship

  Polynomial ↔️ Complex, non-linear relationship
• What is the purpose of graphical analysis in data analysis?

  Identify trends and relationships
• What is the primary goal of graphical analysis?

  Identify relationships
• Scatter plots are used to track changes in a variable over time.

  False
• Which variable is plotted on the x-axis of a graph?

  Independent variable
• What is the intercept of a linear graph?

  Y-value when x=0
• The slope of a linear graph is calculated as the change in y-value divided by the change in x-value


  True
• The purpose of graphical analysis is to identify relationships, patterns, and trends in data


  True
• A best-fit line is a straight line drawn on a scatter plot to represent the overall trend
• Unlike linear graphs, nonlinear graphs can have curved, exponential, or other complex shapes
• For more precise results, statistical methods like least squares regression can be used.
• Analyzing nonlinear graphs provides insights into complex, non-linear relationships.
• The intercept of a linear graph is the y-value where the line crosses the y-axis.