Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below.

Years in which a recession occurred.

Ordinal

Step-by-step explanation:

Let's assume recession happens in the following years:

==> 1950, 1979, 1990 and 2002.

We say, recession happens in 1950 and after 29 years, another recession happens... etc.

Therefore, as we can see, it is a categorical observation in terms of year that it happens. Then, since it can be ranked. That is, it can take position or movement (changes), then we say it is ordered.

Or simple terms, lets see it as year of birth. A recession born in 1950 is older than the one born in 1979. Since the interest is particularly on the year in which it occurred.

Or we can give position instead. By saying, the 1st recession occurred in 1950, the 2nd recession occurred in 1979, the 3rd recession occurred in 1990 and the last recession occurred in 2002.

Thus;

1950 - 1st year recession occurred

1979 - 2nd year recession occurred

1990 - 3rd year recession occurred

2002 - 4th year recession occurred.

NB: The year is not necessarily the global year of recession, it is only meant for explanation.

y -5 = (-1/4)(x + 8)

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for