Question

for my stats project, the topic is : exercise vs. weight loss.
population: adult supermarket shoppers.
research variables: weight loss and soft drinks(explanatory).
research question: what factors contribute to weight loss?
hypothesis: Positive correlation
but I don't know if is weak, moderate or strong.
the survey questions are somewhat like: how many times a week u go to the gym or exercise?
or how many times you cook at home per week?

My questions are: can you tell me if my hypothesis has either a moderate or strong correlation? and why?

Answer 1

Question asked:

Can you tell me if my hypothesis has either a moderate or strong correlation?

Answer:

Step !::

From the answers to survey questions: Tabulate the values of X and Y

Step 2:

Calculate the values of:

(i) Mean of X: $\bar{x}$

(ii) Mean of Y: $\bar{y}$

(iii) SD of X: $\sigma _{x}$

(iv) SD of Y: $\sigma _{y}$

Step 3:

Calculate the Correlation Coefficient r using the formula:

$r=\frac{\sum (x-\bar{x})(y-\bar{y})}{n\sigma _{x}\sigma _{y}}$

Step 4:
If the absolute value of r calculated is near 0.5, we infer that our hypothesis has a moderate correlation.

If the absolute value of r calculated is near 1.0, we infer that our hypothesis has a strong correlation.

If the absolute value of r calculated is near 0, we infer that our hypothesis has no correlation.