Question

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Answer 1

(f) Let y = ax + b, where a and b are constants the normal equations are: sigma^19_i = 1 y_i = a sigma^19_i = 1 xi + 19b implies 1140.7 = a 129.3 + 19b equation (1) and sigma^19_i = 1 x_i y_i = a sigma^19_i = 1 x_i^2 + b sigma^19_i = 1 xi implies 9264 = 1145.59 a + 129.3 b equation (2) solving for 'a' and 'b' we obtain: 16718.49 a - 21766.21 a = 147492.51 - 176016 or a = 28523.48/5047.72 = 5.65 and b = + 21.58 therefore y = 5.65 x + 21.58 equation (3) which is the linear relationship between height (y) and the circumference (s). At x = 6.5: y = 5.65 times 6.5 + 21.58 = 58.305 ft (g) In R^2: y = ax + b with slope (a) = 5.65 and b = 21.58 This is called a linear curve fitting in R^2