Which of the following statements are true? select all that apply.
1)the correlation coefficient gives us information as to how strong the linear association is between two quantitative variables
2) the correlation coefficient has units of measurement and does always lie between -1.0 and +1.0
3) the closer the absolute value of r is to 1, the stronger the relationship is between the two variables.
4) a correlation coefficient of r=0 indicates a strong linear relationship between two variables.
5) a correlation coefficient of r=-0.9 indicates a weak linear relationship between two variables
6) two variables can be correlated without one causing the other

1, 3 and 6

Step-by-step explanation:

Correlation coefficient denoted as r tells us about the Linear Relationship between two quantitative variables. The value of r always lies between -1 and 1. It is a unit-less quantity.

If the absolute value of correlation coefficient is closer to 1 it indicates a strong Linear relationship between two variables. If the absolute value of r is closer to 0 it indicates a weak Linear Relationship between two variables.

Therefore,

Statement 1 is true.

Statement 2 is False as correlation coefficient has no units.

Statement 3 is true.

Statement 4 is false. As r = 0 indicates no linear relationship at all.

Statement 5 is false. The absolute value of r is close to 1 so it indicates a strong linear relationship

Statement 6 is true. Correlation does not imply causation. This means the two variable may or may not be causing each other but still be co-related.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

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step-by-step explanation: