Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
regression line (each value to two decimal places).
y = x +
x | y |
---|---|
2 | 19.56 |
3 | 20.25 |
4 | 17.14 |
5 | 18.13 |
6 | 16.82 |
7 | 15.11 |
8 | 10.2 |
From the data,
Slope, b1 = SSxy / SSxx = -38.68 / 28 = -1.381429
Intercept, b0 = = 16.74429 - (-1.381429) * 5 = 23.65143
The regression line is,
y = -1.38 x + 23.65
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