Altitude vs Atmpospere vs temp Purpose statement: I am going to investigate the relationship between Mean pressure and Tempurature (degrees C)

Mean pressure Temp (C )

Interpretation (A) My Graph show a very strong positive correlation. For every Pa (pascal) of pressure increased, the temp increases by degrees (C ).

Comparing correlations (M) When I choose the Altitude as my predictor variable I found that I had a stronger (in fact perfect) relationship. So the altitude is a better predictor than the pressure. I think that it is likely that both pressure and temperature are dependant on Altitude

Discuss appropriateness My linear model does fit the data well And has a high R-squared value. It would give reasonably accurate results when Calculating predictions. It does appear that a curved line may give a more accurate fit.

For a location that has a pressure of 1000 Pa I expect: – 18 degrees For a location that has a pressure of 100 Pa I would expect: – -59 degrees I believe that my first prediction is reliable although it possible that it would be a little lower (since trend appears to bend downwards a little) My second prediction is not very reliable as it is outside the range of data (extrapolation) and it seem like my trend could bend at lot lower than this.

My residuals graph shows a clear trend in how the actual data is spread from the trend line. The pattern of below the trend line to above to below again, supports the idea of using a curved trend line

Other models

Causality? I believe it is very likely that there is a causal relationship between the variables: altitude and air temp. My investigation has shown a strong correlation between pressure and air temp but I actually believe that it is the altitude that is causing the pressure to change and the temperature at the same time. The near perfect relationships that have been shown strongly support my statement.