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What is a slope'?
A smooth line drawn between points on a graph to reflect the general trend.
What happens to the line if the slope increases or decreases?
When the slope of a line increases, the line becomes steeper, indicating a greater rate of change in the y-values for each unit increase in the x-values. Conversely, if the slope decreases, the line becomes less steep, indicating a smaller rate of change. A positive slope indicates an upward trend, while a negative slope indicates a downward trend. Thus, changes in slope directly affect the angle and direction of the line on a graph.
What is the shape of a graph of a linear function?
The graph of a linear function is a straight line. It can have a positive slope, indicating an upward trend, or a negative slope, indicating a downward trend. The line can also be horizontal if the function has a slope of zero, representing a constant value. The overall shape is determined by the function's slope and y-intercept.
What does the slope of the trend line represent?
The slope of the trend line represents the rate of change between the two variables plotted on a graph. Specifically, it indicates how much the dependent variable changes for a one-unit increase in the independent variable. A positive slope suggests a direct relationship, while a negative slope indicates an inverse relationship. The steeper the slope, the greater the rate of change between the variables.
What is a trend on a graph?
It is the description of a slope of a line which connects from many points you mark to show a way that your graph data may increase or decrease. If it is decreasing, you have a downwards trend. If it is increasing, you have an upwards trend.
When finding the slope of the trend line what does the slope mean about the data of the scatterplot?
The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.
What does trend mean you math terms?
A trend is a math term. It is on a line graph. It is a slope between two variables.
What is a slope'?
A smooth line drawn between points on a graph to reflect the general trend.
What happens to the line if the slope increases or decreases?
When the slope of a line increases, the line becomes steeper, indicating a greater rate of change in the y-values for each unit increase in the x-values. Conversely, if the slope decreases, the line becomes less steep, indicating a smaller rate of change. A positive slope indicates an upward trend, while a negative slope indicates a downward trend. Thus, changes in slope directly affect the angle and direction of the line on a graph.
What is the trend of a graph?
The trend of a graph is the slope of any line on the graph that indicated a positive or growth factor and/or a negative or decaying factor. If the slope goes negative, the graph's line will go down thus indicating decay. If the slope becomes positive, the graph's line will go up thus indicating growth.
What is the shape of a graph of a linear function?
The graph of a linear function is a straight line. It can have a positive slope, indicating an upward trend, or a negative slope, indicating a downward trend. The line can also be horizontal if the function has a slope of zero, representing a constant value. The overall shape is determined by the function's slope and y-intercept.
What is Name of slant on a line graph?
The name of the slant on a line graph is called the slope. The slope represents the rate of change between two points on the graph and is calculated by dividing the change in the y-coordinates by the change in the x-coordinates. A positive slope indicates an upward trend, while a negative slope indicates a downward trend.
What does a trend mean on a line graph?
It is a description of the Slope of the line with respect to the two variables you are plotting. In Statistics, you may be plotting AGE versus Car Mileage and a line drawn through the data is the Trend Line.
What does the slope of the trend line represent?
The slope of the trend line represents the rate of change between the two variables plotted on a graph. Specifically, it indicates how much the dependent variable changes for a one-unit increase in the independent variable. A positive slope suggests a direct relationship, while a negative slope indicates an inverse relationship. The steeper the slope, the greater the rate of change between the variables.
What is a trend on a graph?
It is the description of a slope of a line which connects from many points you mark to show a way that your graph data may increase or decrease. If it is decreasing, you have a downwards trend. If it is increasing, you have an upwards trend.
What does the slope of a trend line tell you about the relationship between two quantities?
If the slope of the trend line between variables X and Y is m, then an increase in value of 1 unit in X is associated with an increase of m units in the value of Y. The relationship is one of association, not of cause-and-effect.
A smooth line that reflects the general pattern in a graph?
The line that reflects the general pattern of a graph is called a trend line.
