Answer:
1) Top-right graph (see attachment)
2) K = -2J + 24
Step-by-step explanation:
Question 1
The line of best fit in a scatter plot is a straight line that represents the general trend or pattern of the data. It should pass as close as possible to the majority of the data points, minimizing the overall distance between the line and the points.
From observation of the given scatter plots, the linear model for the data corresponds to the line in the top-right graph. This line of best fit minimizes the overall distance between the line and the data points.
Question 2
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the independent variable is J and the dependent variable is K, so the equation is K = mJ + b.
To find the slope (m), substitute two points on the line into the slope formula. Let's use points (12, 0) and (0, 24):
[tex]\textsf{Slope}\;(m)=\dfrac{K_2-K_1}{J_2-J_1}=\dfrac{24-0}{0-12}=-\dfrac{24}{12}=-2[/tex]
The y-intercept is the value of K when J = 0. Therefore, the y-intercept is b = 24.
Substitute m = -2 and b = 24 into K = mJ + b to create the equation of the trend line:
[tex]K=-2J+24[/tex]
