Which table shows negative correlation

Here's why:

A correlation is a measurement used in experimental settings to link two or more things together without using it to prove a scenario. For instance, researchers can use a correlation to show a relationship between eating hot dogs and cancer. Or, researchers can use correlations to show that staying up late is linked to worsened mood and/or worsened attention span.

There are POSITIVE correlations and NEGATIVE correlations. Your dependent variable is placed on the y-axis, or the one going upwards. The independent variable is placed on the x-axis, or the "horizon" of the graph.

Returning to the hot dogs and cancer example, we can actually confirm that it is a positive correlation. This can be proven by simply plotting this data on a scatterplot. A scatterplot is the placing of data points based on the independent and dependent variables on the graph and then placing a line of average reference so you can see the strength of the graph. For example, if someone ate 84 hot dogs in a month and their chance of getting cancer increased by 33%, we would place a dot at 84 on the y-axis and at 33 on the x-axis (assuming scales of zero to two hundred).

So, hot dogs would be the independent variable and the contractions of cancer would be the dependent variable because it is dependent on the consumption of hot dogs.

A negative correlation would mean that the line MUST go downwards on the graph. Therefore, it has a negative slope.

Now, let's look at the table values. If we plotted the first table through the Desmos Graphing Calculator, we would see that the first table does NOT graph a downwards set of points (You can view my reference attachment below titled "Table 1.").

Table 2 goes downwards for the most part and only has one point where it goes upwards and then immediately goes downwards  (You can view my reference attachment below titled "Table 2.").

Finally, Table 3 is basically a zig-zag and goes downwards, then upwards, and then downwards again (You can view my reference attachment below titled "Table 3.").

Therefore, it should be proven that Table 2/Table B is the table that shows negative correlation.

14

step-by-step explanation:

14 x 3 = 42

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b