Assuming all other environmental variables are identical I wanted to use I wanted to predict my mpg for the next 6 months as a function of average temperatures. Lets just assume these to be the operational average temperatures Jan-Jun Avg temp: 50.4 - Jul-Dec Avg temp: 60.3 If we knew the mpg from Jan-June (say 50.5mpg) would we be able to estimate the July to Dec mpg and what sort of relationship would we use? I guess it would not be a linear one? Thanks
With two data points the function could be anything: linear, stepwise discontinuous, exponential... you need a lot more data for anything useful. Tom
If the environment (like: weather, traffic lights, cars ahead of you slowing to turn, etc) variables are identical (as you stated) and only the average temperature changes (as you stated), then you seem to have all the data you need. If you can figure the first equation successfully (you did), then there is nothing beyond a calculator to figure out the 2nd equation since you provided the mising data, ie. the Jul-Dec Avg temperature. In other words, all things being equal, if you gave a final MPG for Jan-June based on an average temperature, why then could you not substitute the Jul-Dec temperature (that YOU provided) and arrive at a similarly appropriate MPG? If I'm not misreading the question, this is almost a circular reasoning question. Finally, see if this fits your question; Old equation: Environmental variable x average temperature = predicted mpg New equation: Same environmental variable x new (and stated) temperature = new predicted mpg. I see hardly nothing that needs figuring out in this question. ZC1