Determine the amplitude of the following graph. 4 3 2 सोजयेषीन 1 47 3 -27 27 3 3 6. -1 3 6. -2 -3 -4 -5
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![**Determine the amplitude of the following graph.**
This image presents a graph of a periodic function. The horizontal axis (x-axis) is marked with values representing multiples of π, ranging from \(- \frac{4π}{3}\) to \(\frac{4π}{3}\). The vertical axis (y-axis) is labeled from -5 to 5.
The function plotted on the graph oscillates above and below the x-axis, indicating the characteristic pattern of a trigonometric function like sine or cosine.
### Detailed Analysis:
1. **X-Axis Units:**
- The x-axis includes specific points marked as \(- \frac{4π}{3}\), \(- π\), \(- \frac{π}{2} \), 0, \( \frac{π}{2} \), \( π \), \(\frac{3π}{2}\), \(2π\).
2. **Y-Axis Units:**
- The y-axis ranges from -5 to 5 in increments of 1.
3. **Wave Characteristics:**
- The peaks and valleys of the wave are key to determining the amplitude.
- The highest points (peaks) of the wave reach a value of 1 on the y-axis.
- The lowest points (valleys) of the wave dip down to -1 on the y-axis.
### Amplitude Calculation:
The amplitude of a wave is the distance from the center line (equilibrium position) to a peak or a valley. In this graph:
- The center line is at y = 0.
- The peak is at y = 1.
- The valley is at y = -1.
Hence, the amplitude (A) is:
\[ A = \text{Peak} - \text{Center Line} = 1 - 0 = 1 \]
\[ A = \text{Valley} - \text{Center Line} = -1 - 0 = 1 \]
Therefore, the amplitude of the given graph is 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50c0bed8-eaac-43f6-8015-36280daedfed%2Feda55ce6-0711-417a-89fc-ce3c85524961%2F0ae32zr_processed.jpeg&w=3840&q=75)
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