Scatterplots and data analysis unit test use the image answer the question animal longevity years write an equation in slope intercept form of the trend line
To write an equation in slope-intercept form of the trend line on the scatterplot, we need to find the equation of the line that best fits the data points.
Looking at the scatterplot, we can see that the data points have a positive linear trend. This means that as animal longevity years increase, there is also an increase in the number of animals with that longevity.
To find the equation of the trend line, we need to calculate the slope and y-intercept. We can use the given data points to find the values for these parameters.
Let's assume the slope is given by m and the y-intercept is given by b. We can then use the formula for the slope of a line:
m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)
Where:
n = number of data points
Σ = sum of
x = animal longevity years
y = number of animals
After calculating the sum of xy, x, y, and x^2, we can substitute these values into the formula to find the slope. Once we have the slope, we can find the y-intercept using the formula:
b = (Σy - mΣx) / n
Substitute the calculated values for m, Σy, and Σx into the formula to find the y-intercept.
Finally, we can write the equation of the trend line in slope-intercept form as:
y = mx + b
Where m is the calculated slope and b is the calculated y-intercept.