Question

(b) Calculate the correlation of the two variables (by hand, show steps) Temperature(C) 17 35 19 37 21 55 29 Percent heat los
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Answer #1
Temperature (X) Heat loss (Y) X * Y X2 Y2
15 32 480 225 1024
17 35 595 289 1225
19 37 703 361 1369
21 55 1155 441 3025
23 43 989 529 1849
25 45 1125 625 2025
27 58 1566 729 3364
29 62 1798 841 3844
Total 176 367 8411 4040 17725

Correlation

η = ((N + ΣΧΥ) - ΣΧΣΥ)/ (ΝΣ(Χ2) - (ΣΧ)2) (ΝΣ(Y2) - (ΣΥ)2)
r = ((8 * 8411) - 176 * 367)/((8 * 4040) - (176)2)(8 * 17725) – (367)2)
r = 0.872

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