The correlation coefficient for poor health and not exercising in a group of people is 0.67. Analyze the following statement:

Poor health is caused by not exercising.

Is this a reasonable conclusion?

Yes; everyone who doesn't exercise is by definition unhealthy
Yes; the correlation coefficient is above 0.5, so that implies causation
No; the data are only weakly correlated, and many people are healthy who don't exercise
No; poor health and not exercising are completely unrelated

im thinking c am i right pls help

Yes, c.

thank you so much

You're very welcome.

The price of a gym membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function y = 10x + 15, where x is the number of months.

What is the y-intercept, and what does it represent?

10; it represents the monthly fee
10; it represents the one-time sign-up fee
15; it represents the monthly fee
15; it represents the one-time sign-up fee

You are correct, option C is the correct answer. The statement "No; the data are only weakly correlated, and many people are healthy who don't exercise" is the reasonable conclusion based on the given information.

A correlation coefficient is a statistical measurement that indicates the extent to which two variables are related. In this case, the correlation coefficient of 0.67 indicates a moderate positive relationship between poor health and not exercising. However, a correlation coefficient alone cannot establish causation.

Causation implies that one variable directly causes the other to occur. While there is a correlation between poor health and not exercising, it does not necessarily mean that not exercising directly causes poor health. Other factors, such as diet, genetics, stress levels, and underlying health conditions, could also contribute to poor health.

Additionally, it is important to consider that many people may be healthy despite not exercising regularly. The correlation coefficient of 0.67 suggests a relationship but does not account for all possible outcomes. Therefore, it is not a reasonable conclusion to say that poor health is solely caused by not exercising, as there are likely multiple factors at play.