Math / Data & Statistics

QuestionA positive (+) correlation is when $\qquad$ A negative (-) correlation is when $\qquad$ $X$ decreases, Y increases; $X$ decreases, Y decreases. $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases. $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases. $X$ decreases, Y decreases: Xincreases, Y decreases.

Studdy Solution

STEP 1

What is this asking? This problem is asking us to figure out which scenarios describe a positive correlation and which describe a negative correlation between two variables, $X$ and $Y$ . Watch out! Don't mix up the definitions of positive and negative correlations!
Remember, positive means they move in the same direction, and negative means they move in opposite directions.

STEP 2

1. Understand positive correlation
2. Understand negative correlation
3. Match scenarios to correlations
4. $X$ decreases, $Y$ decreases; $X$ increases, $Y$ decreases.
#### 2.3.2. For positive correlation, we want both $X$ and $Y$ to move together.
So, option 3 is our winner: $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases.
#### 2.3.3. For negative correlation, we need $X$ and $Y$ to move in opposite directions.
Option 2 fits the bill: $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases.

STEP 3

Alright, let's break it down!
A positive correlation is when both variables move together.
So, if $X$ increases, $Y$ increases too, and if $X$ decreases, $Y$ decreases as well.
They're like best friends, always sticking together!

STEP 4

Now, a negative correlation is when the variables move in opposite directions.
Imagine a seesaw: if $X$ increases, $Y$ decreases, and if $X$ decreases, $Y$ increases.
They're playing a little game of opposites!

STEP 5

Let's look at the options and see which matches our understanding:
1. $X$ decreases, $Y$ increases; $X$ decreases, $Y$ decreases.
2. $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases.
3. $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases.

STEP 6

A positive (+) correlation is when $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases (Option 3).
A negative (-) correlation is when $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases (Option 2).

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Studdy Solution

STEP 1

STEP 2

STEP 3

Alright, let's break it down!
A positive correlation is when both variables move together.
So, if $X$ increases, $Y$ increases too, and if $X$ decreases, $Y$ decreases as well.
They're like best friends, always sticking together!

STEP 4

Now, a negative correlation is when the variables move in opposite directions.
Imagine a seesaw: if $X$ increases, $Y$ decreases, and if $X$ decreases, $Y$ increases.
They're playing a little game of opposites!

STEP 5

Let's look at the options and see which matches our understanding:
1. $X$ decreases, $Y$ increases; $X$ decreases, $Y$ decreases.
2. $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases.
3. $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases.

STEP 6

A positive (+) correlation is when $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases (Option 3).
A negative (-) correlation is when $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases (Option 2).

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Studdy Solution

STEP 1

STEP 2

STEP 3

Alright, let's break it down!A **positive correlation** is when both variables move together.So, if XXX **increases**, YYY **increases** too, and if XXX **decreases**, YYY **decreases** as well.They're like best friends, always sticking together!

STEP 4

Now, a **negative correlation** is when the variables move in opposite directions.Imagine a seesaw: if XXX **increases**, YYY **decreases**, and if XXX **decreases**, YYY **increases**.They're playing a little game of opposites!

STEP 5

Let's look at the options and see which matches our understanding:1. XXX decreases, YYY increases; XXX decreases, YYY decreases.2. XXX decreases, YYY increases; XXX increases, YYY decreases.3. XXX increases, YYY increases; XXX decreases, YYY decreases.

STEP 6

A positive (+) correlation is when XXX **increases**, YYY **increases**; XXX **decreases**, YYY **decreases** (Option 3).A negative (-) correlation is when XXX **decreases**, YYY **increases**; XXX **increases**, YYY **decreases** (Option 2).

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Alright, let's break it down!
A positive correlation is when both variables move together.
So, if $X$ increases, $Y$ increases too, and if $X$ decreases, $Y$ decreases as well.
They're like best friends, always sticking together!

Now, a negative correlation is when the variables move in opposite directions.
Imagine a seesaw: if $X$ increases, $Y$ decreases, and if $X$ decreases, $Y$ increases.
They're playing a little game of opposites!

Let's look at the options and see which matches our understanding:
1. $X$ decreases, $Y$ increases; $X$ decreases, $Y$ decreases.
2. $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases.
3. $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases.

A positive (+) correlation is when $X$ increases, $Y$ increases; $X$ decreases, $Y$ decreases (Option 3).
A negative (-) correlation is when $X$ decreases, $Y$ increases; $X$ increases, $Y$ decreases (Option 2).