3. The table provides information on hours studied and corresponding test scores. Hours 1 2 3 3.5 4 5.5 Studied Test 65 80 73 82 81 87 90 88 92 Score a. Using your calculator, calculate the correlation coefficient. b. Use part a to describe the relationship between the variables.
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.
3 D,E,F,G,H,I
![1. A relationship between height (in inches) and arm length (in inches) was found to have a
correlation coefficient of r = 0.985. Describe the relationship between the variables.
2. The scatterplot shows a relationship between the TVs purchased and price. Which best
describes the relationship between the variables? (Circle the letter of choice.)
A. Strong, positive, linear correlation
Best Buy
B. Weak, positive, linear correlation
1500
1250
1000
C. Strong, negative, linear correlation
750
500
D. Weak, negative, linear correlation
250
10
20 30 40
Number of TVs
3. The table provides information on hours studied and corresponding test scores.
Hours
1
2
3
3.5
4
4
5
5.5
Studied
Test
65
80
73
82
81
87
90
88
92
Score
a. Using your calculator, calculate the correlation coefficient.
b. Use part a to describe the relationship between the variables.
Prices per TV](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93b427c0-e1bb-413a-8e63-29bbe2e71a65%2F3ad3611c-310d-4a8a-b169-d4f8416c5f9b%2F94b0m5b_processed.png&w=3840&q=75)
![3. CONTINUED:
c. Using your calculator, determine the regression equation.
d. What is the rate of change AND interpret it in terms of the context of the problem.
e. What is the y-intercept AND interpret it in terms of the context of the problem.
f. Predict a student’s test score if they were to study for 2.5 hours.
g. In part f, was this interpolation or extrapolation. Explain your answer.
h. Predict a student’s test score if they were to study for 8 hours.
i. In part h, was this interpolation or extrapolation. Explain your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93b427c0-e1bb-413a-8e63-29bbe2e71a65%2F3ad3611c-310d-4a8a-b169-d4f8416c5f9b%2Fcj59_processed.png&w=3840&q=75)
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