Answer:
7 units
Step-by-step explanation:
These points lie on the same horizontal line.
No vertical distance
Only horizontal distance of:
15-8 = 7 units
(-4,-3)(12,1)
slope(m) = (1 - (-3) / (12 - (-4)
slope(m) = (1 + 3) / (12 + 4)
slope(m) = 4/16 = 1/4
y - y1 = m(x - x1)...using (12,1)
y - 1 = 1/4(x - 12)
y - 1 = 1/4x - 3
y = 1/4x - 3 + 1
y = 1/4x - 2
-1/4x + y = -2...multiply by -4
x - 4y = 8 <=== here it is
Answer:
a. correlation
b. inverse linear correlation exists If the higher the population of students lead to a decrease in test score,
c. yes
Step-by-step explanation:
a. Correlation is a measure of the amount of association existing between two variables.
b. For linear correlation, if points are plotted on a graph and all the points lie on a straight line, then perfect linear correlation is said to exist. When a straight line having a positive gradient can reasonably be drawn through points on a graph positive or direct linear correlation exists,
Similarly,when a straight line having a negative gradient can reasonably be drawn through points on a graph, negative or inverse linear correlation exists,
The results of this determination give values of r lying between +1 and −1, where +1 indicates perfect direct Positive linear correlation and −1 indicates perfect inverse correlation or Negative linear correlation and 0 indicates that no correlation exists.
If the higher the population of students lead to a decrease in test score, there will definitely be a negative correlation between class size and test score. i.e low class size result in high test score which consequently lead to high performance.
c. YES
A negative correlation means low class size result in high test score which consequently lead to better performance.
