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Scatter Plots and Correlation ANSWERS Algebra 1Name: Date: Period: Draw the line of best fit for each graph, if possible. State the type of correlation. 1. 2. 4422555522Correlation:4Very Strong positiveCorrelation:
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How to fill out scatter plots and correlation
01
To fill out a scatter plot, follow these steps:
1. Determine the variables you want to analyze. One variable will be plotted on the x-axis and the other variable on the y-axis.
02
Gather the data for these variables. Make sure you have a set of paired data points, each representing the value of the x-variable and its corresponding value of the y-variable.
03
Label the x-axis and y-axis accordingly. Use clear and concise labels that represent the variables being plotted.
04
Choose a scale for each axis. Divide the range of each variable into equal intervals and mark them on the axes.
05
Plot each data point on the graph by identifying its x-coordinate and y-coordinate. Use dots or symbols to represent the data points.
06
Once all the data points are plotted, look for any patterns, trends, or relationships between the variables.
07
To calculate the correlation coefficient (r) between the two variables, follow these steps:
1. Calculate the mean (average) of both variables.
08
For each data point, subtract the mean of both variables and multiply these differences together. Sum up these products.
09
Calculate the standard deviation of both variables.
10
Divide the sum of the products by the product of the standard deviations of both variables.
11
The result is the correlation coefficient (r), which ranges from -1 to 1. A value close to 1 indicates a strong positive correlation, close to -1 indicates a strong negative correlation, and close to 0 indicates no correlation.
Who needs scatter plots and correlation?
01
Scatter plots and correlation are commonly used by:
02
- Statisticians and data analysts who want to visually explore the relationship between two variables.
03
- Researchers who are interested in understanding the strength and direction of the relationship between two variables.
04
- Scientists and engineers who need to analyze data to identify patterns and make predictions.
05
- Social scientists who want to study the correlation between different factors.
06
- Business analysts who want to understand the relationship between sales and marketing efforts.
07
- Students who are learning statistics and want to visualize and measure the relationship between variables.
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What is scatter plots and correlation?
Scatter plots are graphical representations of the relationship between two variables. Correlation measures the strength of the relationship between two variables.
Who is required to file scatter plots and correlation?
Researchers, statisticians, and analysts are typically required to file scatter plots and correlation.
How to fill out scatter plots and correlation?
To fill out scatter plots and correlation, you need to plot the data points on a graph and calculate the correlation coefficient.
What is the purpose of scatter plots and correlation?
The purpose of scatter plots and correlation is to visualize and quantify the relationship between two variables.
What information must be reported on scatter plots and correlation?
The data points for each variable, the plotted graph, and the correlation coefficient must be reported on scatter plots and correlation.
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