Consider the following data for two variables, x and y.
x 9 32 18 15 26
y 11 19 20 16 22
(a)
Develop an estimated regression equation for the data of the form
ŷ = b0 + b1x.
(Round b0 to two decimal places and b1 to three decimal places.)ŷ =
10.39+0.361·x
Comment on the adequacy of this equation for predicting y. (Use α = 0.05.)
The high p-value and low coefficient of determination indicate that the equation is inadequate.The high p-value and high coefficient of determination indicate that the equation is adequate. The low p-value and low coefficient of determination indicate that the equation is inadequate.The low p-value and high coefficient of determination indicate that the equation is adequate.
(b)
Develop an estimated regression equation for the data of the form
ŷ = b0 + b1x + b2x2.
(Round b0 to two decimal places and b1 to three decimal places and b2 to four decimal places.)ŷ = _____________
Comment on the adequacy of this equation for predicting y. (Use α = 0.05.)
The high p-value and low coefficient of determination indicate that the equation is inadequate.The high p-value and high coefficient of determination indicate that the equation is adequate. The low p-value and low coefficient of determination indicate that the equation is inadequate.The low p-value and high coefficient of determination indicate that the equation is adequate.
(c)
Use the model from part (b) to predict the value of y when
x = 20. (Round your answer to two decimal places.) ____________