Question

Fill in the boxes to create a set of six points that has the strongest possible linear association. 9 (−1, -3) (–9, -6)​

Answer 1

Explanation:

It seems like you want to create a set of six points with the strongest possible linear association using the given points (−1, -3) and (–9, -6). To create a strong linear association, you can use these two points and calculate additional points along the line that passes through them. Here's how you can do it:The given points are:

(−1, -3) and (–9, -6)The slope of the line passing through these points is:

m=y2−y1x2−x1m=x2​−x1​y2​−y1​​Substitute the values:

m=−6−(−3)−9−(−1)=−38m=−9−(−1)−6−(−3)​=−83​So, the equation of the line is:

y=−38x+by=−83​x+bNow, plug in one of the given points to solve for the y-intercept bb:

−3=−38⋅(−1)+b−3=−83​⋅(−1)+b

−3=38+b−3=83​+b

b=−278b=−827​Now you have the equation of the line:

y=−38x−278y=−83​x−827​Now you can calculate additional points along this line. Choose various x-values and calculate the corresponding y-values using the equation. For example:Let's choose x = 0:

y=−38⋅0−278=−278y=−83​⋅0−827​=−827​So, one additional point is (0, -27/8).Repeat this process to get a set of six points that lie on the line and have a strong linear association.