Linear Equations: Forms, Graphs, and Systems
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Equation of a Line in Slope Y-Intercept Form
Recall: Slope y-intercept form
Write the equation of the line.
a) m = -5, b = 2 => y = -5x + 2
b) Y-int (b) = -3, slope (m) = 1/2
y = (1/2)x – 3
c) Rate of change (m) = -2/5, initial value (b) = 0
y = (-2/5)x + 0 => y = -2/5x
y = 5/7x + 2
Equation of a Line in Standard Form
To graph a linear equation in standard form, you must rewrite it into slope y-intercept form.
Steps:
- Isolate the term with the dependent variable on one side of
Change Blindness: Impact of Congruency
Change Blindness: The Impact of Congruency on Visual Perception
This experiment used a within-participants design to test if change blindness is altered depending on the type of change made. The independent variable had three conditions: congruent change, incongruent change, and within-category change. The dependent variable was measured by the time (in seconds) students took to detect changes in each condition. A control measure, where one-quarter of the images did not include any change, was used
Read MoreUnderstanding Statistics: Types, Variables, and Sampling Methods
Understanding Statistics
Statistics is a branch of mathematics that deals with the study of a given feature in a population, data collection, organizing them into tables and illustrations, and analyzing them to draw conclusions about that population.
Types of Statistics
Descriptive Statistics: This involves studying the entire population, noting a feature of the same, and calculating parameters that give global information about the entire population.
Statistical Inference: This is a descriptive study
Read MoreUnderstanding Parallax in Photogrammetry: Principles and Methods
Parallax in Photogrammetry
Parallax: Displacement apparent at the position of an object with respect to a reference system, due to a change in the point of observation. This is a change in the position of an object in an image due to motion. For example, the change in position of a point in a picture due to the motion of an aircraft. Parallax exists because images taken from different locations will show longitudinal overlap.
Parallax Formula
[pa / B = f / (H-ha)]
[pa = (Bf) / (H-ha)]
Where:
- B = Distance
Car Prices and Sales Trends in Spain (2018-2023)
Car Price Increases: 2018 vs. 2023
Here, we can see a bar chart comparing the prices of different car models in the years 2018 and 2023. The car models included are Hyundai Tucson, Opel Corsa, Volkswagen Tiguan, Ford Kuga, Dacia Sandero, and Peugeot 208. There are more car brands and models, but this small selection is enough to show the price trend. The green bars represent prices in 2018, and the blue bars represent prices in 2023.
Price Increase Calculation Example: Volkswagen Tiguan
Let’s take
Read MoreUnderstanding Measures of Dispersion, Data Types, and Estimation
Understanding Measures of Dispersion
Measures of dispersion help us understand how spread out or scattered the values in a dataset are. The choice of the appropriate measure of dispersion depends on the nature of the data, the type of variable, and whether the data contains outliers. Here’s a breakdown of the most commonly used measures of dispersion and when they are suitable:
1. Range
Definition: The difference between the highest and lowest values in a dataset.
2. Interquartile Range (IQR)
Definition:
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