) 1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
2. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
3. Test the residuals of two other points to determine how well the line of best fit models the data.
4. Use the line of best fit to help you to describe the data correlation.

Explained below.

Step-by-step explanation:

The data from the scatter plot is as follows:

Arm Span      Height

   19.5               25

   35.5              35

   37.0              39

   40.5             40

   44.5             45

   45.5             50

   49.0             49

    51.0             55

   52.5             47

   59.0             60

   61.0              58

(1)

Compute the value of slope and intercept as follows:

The equation of the line of best fit is, y = 0.857·x + 7.174.

(2)

The slope of the line represent the rate of change in y caused by one unit change in x.

In this case the slope of m = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.

(3)

To perform the Residual Test, simply take two values from the table and interchange the x and y values.

Consider the values: (37, 39) and (51, 55)

Compute the value of y if x = 39:

The new value of y (40.6) is close to the original value (39.0)

Compute the value of y if x = 55:

The new value of y (54) is close to the original value (55)

Thus, it can be said that the line of best fit models the data provided.

(4)

The line of best fit is:

y = 0.857·x + 7.174

The slope of the line is positive.

This implies that there is a positive relationship between the two variables.

The formula of slope in terms of correlation coefficient is:

The correlation coefficient is directly proportional to the slope.

This implies that the correlation coefficient is also positive.

Thus, the variables Arm span and Height are positively correlated.

step-by-step explanation:

this is not a question

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!