is known that the Tomato crop (in ton) in some farm are Sampled for 10 years.
the Standard deviation of the crop was 2 ton.
the Income (Y) from the Tomato Depends on the crop (X)
according to following connection Y=3X-2. the Variance Income from the Tomato in this Sampled is ?

if I know that the Standard deviation is 2 so I just need to do 2^2 to get the Variance yes?

and 1 more Question: the Value of Pearson product-moment correlation coefficient between the crop and the Income is?
how I can solve it?

thanks for help.

I would say that you're right, variance = (standard deviation)^2.

For the Pearson product-moment correlation coefficient, sorry, I'm not sure about this. Wikipedia has a nice article about it, but I rather not suggest anything just in case I'm telling something completely wrong.

Pearson product-moment correlation coefficient - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient#Definition)

OK so I can say that the variance here is 4?

Thank you.

Yes, that's what I meant :)

Cool thanks again.

I just realised that the question was asking for the variance of income Y when given the standard deviation of crop X. Sorry for that >.<

That is OK.
We all do mistake sometime. :)
But still thank you.
You one of the most helper here.