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 50 inches. Is the result close to the actual weight of 407 pounds? Use a significance level of 0.05.

Kindly go through the explanation for the answer.

Step-by-step explanation:

From the above calculated value we get the value are as:

n 6

sum (XY) 137925.00

sum (X) 278.00

sum (Y) 2954.00

sum (X^2) 12974.00

sum (Y^2) 1467334.00

b 11.3179

a - 32.0607

Formula for regression equation are as:

y = - 32.1 + 11.3x

when actual weight = 50

y = - 32.1 + 11.3 X 50

= 532.9

The difference between the result and the 407 is 532.9 - 407 = 125.9, hence the result is very much different.