Using Graphs to Analyze Data Unit Review
Match the equation for the line of best fit with the scatterplot graph.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y = 20/3 x + 50
y = -11/3 x + 95
y = x
+ 70
Graph of data points with a positive correlation: y = _____________
Response: y = 20/3 x + 50
(This equation represents a line with a positive slope, which is characteristic of a positive correlation in a scatterplot.)
Graph of data points with a negative correlation: y = _____________
Response: y = -11/3 x + 95
(This equation represents a line with a negative slope, which is characteristic of a negative correlation in a scatterplot.)
Graph of data points with no correlation: y = _____________
Response: y = x
(This equation represents a line with a slope of 1, which is characteristic of a scatterplot with no discernible correlation between the data points.)
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To match the equation for the line of best fit with the scatterplot graph, you would need to examine the slope (m) and y-intercept (b) of the equation.
The equation for a line can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
To analyze the scatterplot graph, you should observe the general trend of the data points. If the points seem to form a straight line going upwards from left to right, the line of best fit should have a positive slope. If the points go downwards, the slope should be negative. The y-intercept represents the point where the line crosses the y-axis.
By comparing the slopes and y-intercepts of the equations given, you can determine which equation matches the trend of the scatterplot graph.