The correlation coefficient for the scatterplot above is r = 0.41. the point (18, 78) appears to be an outlier since it doesn't follow the general pattern of the data, so we want to determine how much it influences the value of r. to do this, we remove the outlier from the data set and recalculate r.

110

step-by-step explanation:

based on the question i am guessing that it is a typo for abc

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²