The following table lists the National Basketball Association's leading scorers, their average points per game (PPG), and their average minutes per game (MPG) for 2008. [You may find it useful to reference the t table.] PPG MPG D. Wade 30.1 36.1 L. James 27.1 35.3 K. Bryant D. Nowitzki 33.8 35.0 25.5 24.5 D. Granger K. Durant C. Paul C. Anthony C. Bosh B. Roy 24.4 33.9 23.8 36.8 21.5 36.3 21.5 32.5 21.4 36.1 21.3 35.3 B Click here for the Excel Data File a-1. Calculate the sample correlation coefficient between PPG and MPG. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Sample correlation coefficient a-2. Interpret the sample correlation coefficient between PPG and MPG. The correlation coefficient indicates a positive linear relationship. The correlation coefficient indicates a negative linear relationship. The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation between PPG and MPG is positive. OHo: Pxy = 0; HA: Pxy * 0 Ho: Pxy s 0; HA: Pxy > 0 Ho: Pxy 2 0; HA: Pxy < 0 c-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
![The following table lists the National Basketball Association's leading scorers, their
average points per game (PPG), and their average minutes per game (MPG) for 2008.
[You may find it useful to reference the t table.]
PPG
MPG
D. Wade
30.1
36.1
L. James
27.1
35.3
33.8
K. Bryant
D. Nowitzki
25.5
24.5
35.0
24.4
D. Granger
K. Durant
C. Paul
C. Anthony
C. Bosh
B. Roy
33.9
23.8
36.8
21.5
36.3
21.5
32.5
21.4
36.1
21.3
35.3
BClick here for the Excel Data File
a-1. Calculate the sample correlation coefficient between PPG and MPG. (Round
intermediate calculations to at least 4 decimal places and final answer to 4 decimal
places.)
Sample correlation coefficient
a-2. Interpret the sample correlation coefficient between PPG and MPG.
The correlation coefficient indicates a positive linear relationship.
The correlation coefficient indicates a negative linear relationship.
The correlation coefficient indicates no linear relationship.
b. Specify the competing hypotheses in order to determine whether the population
correlation between PPG and MPG is positive.
Ho: Pxy = 0; HA: Pxy * 0
Ho: Pxy s 0; HA: Pxy
Ho: Pxy 2 0; HA: Pxy < 0
c-1. Calculate the value of the test statistic. (Round intermediate calculations to at
least 4 decimal places and final answer to 3 decimal places.)
Test statistic](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9141896-001f-4e78-8572-207ee29bce3c%2F38551951-a2c1-40d0-ae07-e47f40862ef7%2Faukwbie_processed.jpeg&w=3840&q=75)
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