A. A set of nine data pairs with a correlation coefficient r = -0.4
Step-by-step explanation:
In statistical analysis, it is important to make use of an adequate sample size in order to arrive at a valid result. An analysis with a very small sample size can provide misleading results
When performing regression analysis it is generally accepted by researchers that each variable should have at least 10 observations.
Therefore, the data set having nine data pairs with a negative correlation of -0.4 will provide the most valid result that can then be used for generalization about the larger statistical population.
{(-1,3),(-1,4),(-1,5),(-1,6)} is the set from the given question which is a set of ordered pairs representing a function.
<h3>What is ordered pair?</h3>
An ordered pair (a, b) in mathematics is a group of two things. The pair's order of objects matters because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b. (By contrast, an unordered pair of a and b equals an unordered pair of b and a.)
Ordered pairs are also known as 2-tuples, or sequences (or, in computer science, occasionally, lists) of length 2. Sometimes referred to as 2-dimensional vectors, ordered pairs of scalars. Technically speaking, this is a misuse of the term because an ordered pair need not be a component of a vector space. An ordered pair's entries may be other ordered pairs, allowing for the recursive definition of ordered n-tuples (ordered lists of n objects).
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below. Who had a head start, and how many miles was the head start?
A) Rita had a 28-mile head start.
B) Roger had a 26-mile head start.
C) Roger had a 25-mile head start.
D) Rita had a 22-mile head start.
Answer:
A) Rita had a 28-mile head start.
Step-by-step explanation:
Let's assume that Roger travelled a distance of 60 miles
And that;
Rita travelled a distance of 32 miles
We are told that they travelled between Phoenix and San Diego.
Thus, it means that if they have different distances but covered same section of the trip, it means the one with higher distance started before the section of the trip.
Thus, it means that Rita had a head start of Roger since she covered only 32 miles.
