8th Scatterplots & Line of BEST fit

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the slope of a line from a scatter plot?

Back

The slope of a line can be determined by selecting two points on the line and using the formula: slope = (change in y) / (change in x).

Front

What does a positive correlation in a scatter plot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

How can you predict a value using a trend line in a scatter plot?

Back

To predict a value, locate the desired x-value on the horizontal axis, then find the corresponding y-value on the trend line.

Front

What is the formula for calculating the slope from a table of values?

Back

The slope can be calculated using the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, indicating where the line crosses the y-axis.

Front

What does it mean if a scatter plot has no correlation?

Back

No correlation means there is no discernible relationship between the two variables; the data points do not follow any trend.

Front

How do you identify the line of best fit on a scatter plot?

Back

The line of best fit can be identified as the line that minimizes the distance between itself and all the data points.