Grade 10 Regression Analysis Worksheet
A worksheet for Grade 10 students covering basic concepts of regression analysis, including scatter plots, correlation, and linear regression.
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Grade 10 Regression Analysis
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following describes a strong positive correlation?
As x increases, y decreases significantly.
As x increases, y increases significantly.
There is no clear relationship between x and y.
As x increases, y stays constant.
2. What is the purpose of a scatter plot?
To show the frequency of data points.
To display the distribution of a single variable.
To visualize the relationship between two quantitative variables.
To compare parts of a whole.
3. The strength and direction of a linear relationship between two variables is measured by the coefficient.
4. In a linear regression equation, y = mx + b, 'm' represents the and 'b' represents the .
5. A researcher collected data on the number of hours students spent studying for a test and their scores. The data is as follows:
Hours Studied (x): 2, 4, 3, 5, 1
Test Score (y): 60, 80, 70, 90, 50
Plot these points on the graph below and draw a line of best fit. Describe the correlation.
6. Explain the difference between correlation and causation in your own words.
7. A correlation coefficient of -0.9 indicates a weak negative linear relationship.
True
False
8. The line of best fit always passes through all the data points in a scatter plot.
True
False