A company launched four new products. The market price, in dollars, of the four products after different number of years is shown below:
The price of which product will eventually exceed all others?

Question

A company launched four new products. The market price, in dollars, of the four products after different number of years is shown below:
The price of which product will eventually exceed all others?

anonymous · Answer

attachment

anonymous · Answer

@ranga

perl · Answer

im not sure, some of those functions are not linear

ranga · Answer

Are you allowed to use any calculator with regression functions?

anonymous · Answer

yes

ranga · Answer

For product 1, the equation is easy to find.  y = 2^x.
We can ignore product 4 because the price goes up and down or remains the same.
We need to find a non-linear regression line for products 2 and 3 and compare it to product 1 to see which one will rise the fastest.

ranga · Answer

But without using any calculators, my guess is it is product-1.  If you take the difference in price of each product from one year to the next, product-1 rises the fastest.

anonymous · Answer

but arent we looking for exponential?

ranga · Answer

Yes.  But without using a calculator to find the exponential equation I am guessing how fast each one is rising by taking the difference, especially between year 4 and year 3:
                 4th - 3rd year prices
Product1        8
Product2        2.40
Product3        7.20
Product4      -0.40

Product-1 seems to be climbing faster.  
If you want you can find the exponential fit for product3 and compare it to 2^x for product1 and see which one will be larger eventually.

anonymous · Answer

oh okay, thank you. do you mind assisting me with another problem?

ranga · Answer

I have to log off in less than two minutes though.

anonymous · Answer

oh okay thanks for your time

ranga · Answer

You are welcome.