Professional basketball teams have 11 players per team. Salary is dependent upon their scoring average, measured in points per game. A least-squares regression line that describes the relationship between scoring average and salary for one professional basketball team is ŷ = 2,671,134.68 + 684,663.08x, where x is the player’s scoring average and y is the player’s salary. The residuals for this regression are given in the graph below.

a) Is a line an appropriate model to use for these data? What information tells you this?

b) What is the value of the slope of the least-squares regression line? Interpret the slope in the context of this problem.

c) What is the predicted salary of the basketball player with 10.9 points per game?

d) Approximate the actual salary of the basketball player with 10.9 points per game.

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Step-by-step explanation:

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

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