Question

The data show the chest size and weight of several bears. Find the regression​ equation, letting chest size be the independent​ (x) variable. Then find the best predicted weight of a bear with a chest size of 51 inches. Is the result close to the actual weight of 585 ​pounds? Use a significance level of 0.05.

Chest size​ (inches) 47 46 49 50 38 48

Weight​ (pounds) 487 496 546 518 397 510

a) what is the regression equation?

b) what is the best predicted weight for the bear with chest size 51 inches?

Answer 1

Solution :

Given that, Chest size​ (inches) x as 47 46 49 50 38 48

Weight​ (pounds) y as 487 496 546 518 397 510

a)
=> The equation of the regression line is y^ = -32.0610 + 11.3180*x

b)
=> The best predicted weight for the bear with chest size 51 inches is

=> y^(51) = -32.061 + 11.318*51

= 545.1570