Solved on Dec 11, 2023

Which $r$ -value is not possible? A) 0.5, B) 1.2, C) -0.1, D) -0.75

STEP 1

Assumptions
1. The variable $r$ represents a value that is subject to certain conditions.
2. The conditions for $r$ are not explicitly stated, but since the options include both positive and negative values, we can assume $r$ could be any real number.
3. However, if $r$ is meant to represent a correlation coefficient, then it must be within the range $-1 \leq r \leq 1$ .

STEP 2

Given that $r$ could be a correlation coefficient, we need to check each option to see if it falls within the acceptable range for correlation coefficients.

STEP 3

Check option A: $r = 0.5$
$-1 \leq 0.5 \leq 1$
This value is within the range, so it is a possible $r$ -value.

STEP 4

Check option B: $r = 1.2$
$-1 \leq 1.2 \leq 1$
This value is not within the range, so it is not a possible $r$ -value.

STEP 5

Check option C: $r = -0.1$
$-1 \leq -0.1 \leq 1$
This value is within the range, so it is a possible $r$ -value.

STEP 6

Check option D: $r = -0.75$
$-1 \leq -0.75 \leq 1$
This value is within the range, so it is a possible $r$ -value.

STEP 7

Based on the checks in the previous steps, option B is not a possible $r$ -value because it does not fall within the range $-1 \leq r \leq 1$ .
The answer is B. 1.2.

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Which $r$ -value is not possible? A) 0.5, B) 1.2, C) -0.1, D) -0.75

STEP 1

STEP 2

Given that $r$ could be a correlation coefficient, we need to check each option to see if it falls within the acceptable range for correlation coefficients.

STEP 3

Check option A: $r = 0.5$
$-1 \leq 0.5 \leq 1$
This value is within the range, so it is a possible $r$ -value.

STEP 4

Check option B: $r = 1.2$
$-1 \leq 1.2 \leq 1$
This value is not within the range, so it is not a possible $r$ -value.

STEP 5

Check option C: $r = -0.1$
$-1 \leq -0.1 \leq 1$
This value is within the range, so it is a possible $r$ -value.

STEP 6

Check option D: $r = -0.75$
$-1 \leq -0.75 \leq 1$
This value is within the range, so it is a possible $r$ -value.

STEP 7

Based on the checks in the previous steps, option B is not a possible $r$ -value because it does not fall within the range $-1 \leq r \leq 1$ .
The answer is B. 1.2.

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Which rrr-value is not possible? A) 0.5, B) 1.2, C) -0.1, D) -0.75

STEP 1

STEP 2

Given that rrr could be a correlation coefficient, we need to check each option to see if it falls within the acceptable range for correlation coefficients.

STEP 3

Check option A: r=0.5r = 0.5r=0.5−1≤0.5≤1-1 \leq 0.5 \leq 1−1≤0.5≤1This value is within the range, so it is a possible rrr-value.

STEP 4

Check option B: r=1.2r = 1.2r=1.2−1≤1.2≤1-1 \leq 1.2 \leq 1−1≤1.2≤1This value is not within the range, so it is not a possible rrr-value.

STEP 5

Check option C: r=−0.1r = -0.1r=−0.1−1≤−0.1≤1-1 \leq -0.1 \leq 1−1≤−0.1≤1This value is within the range, so it is a possible rrr-value.

STEP 6

Check option D: r=−0.75r = -0.75r=−0.75−1≤−0.75≤1-1 \leq -0.75 \leq 1−1≤−0.75≤1This value is within the range, so it is a possible rrr-value.

STEP 7

Based on the checks in the previous steps, option B is not a possible rrr-value because it does not fall within the range −1≤r≤1-1 \leq r \leq 1−1≤r≤1.The answer is B. 1.2.

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Which $r$ -value is not possible? A) 0.5, B) 1.2, C) -0.1, D) -0.75

Given that $r$ could be a correlation coefficient, we need to check each option to see if it falls within the acceptable range for correlation coefficients.

Check option A: $r = 0.5$
$-1 \leq 0.5 \leq 1$
This value is within the range, so it is a possible $r$ -value.

Check option B: $r = 1.2$
$-1 \leq 1.2 \leq 1$
This value is not within the range, so it is not a possible $r$ -value.

Check option C: $r = -0.1$
$-1 \leq -0.1 \leq 1$
This value is within the range, so it is a possible $r$ -value.

Check option D: $r = -0.75$
$-1 \leq -0.75 \leq 1$
This value is within the range, so it is a possible $r$ -value.

Based on the checks in the previous steps, option B is not a possible $r$ -value because it does not fall within the range $-1 \leq r \leq 1$ .
The answer is B. 1.2.