11.94 Low temperatures on winter nights in Florida have caused extensive damage to the state’s agriculture.Thus, it is important to be able to predict freezes quite accurately. In an attempt to use satellite data for this purpose, a study was done to compare the surface temperatures detected by the infrared sensors of HCMM and GOESEast satellites. GOES temperature data compared to HCMM sample means are given in the table below. Find an appropriate model relating the mean HCMM reading to the GOES temperature.
What would happen to the R2 value if the actual HCMM data points were used rather than their means?

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HCMM Temp. (K) GOES Range Temp. (K) Mean S.D. Min. Max. 275.5 274.5 1.01 272.8 281.2 275.5 275.2 1.25 273.2 281.6 277.5 277.6 2.72 273.6 284.2 276.5 277.3 3.06 273.2 283.9 277.5 277.8 3.53 273.6 283.9 281.0 278.9 0.80 276.9 280.8 277.5 277.9 3.56 273.6 283.5 278.0 279.2 3.49 273.2 283.9 280.0 280.6 3.01 277.3 287.5 285.0 290.9 3.28 281.6 294.2 278.0 276.9 2.07 274.5 283.1 284.5 284.4 2.78 277.3 287.2 284.5 291.5 2.75 282.0 294.2 283.5 285.5 1.87 277.3 287.2 280.0 279.8 2.36 278.9 287.5 Source: E. Chen and H. Allen, Remote Sensing of the Environment, vol. 21, 1987, pp. 341-353.