Question

Consider the following data for two variables, x and y. (a) Develop an estimated regression equation for the data of the form ý = bo + 5,x. (Round bo to two decimal places and b, to three decimal places.) Comment on the adequacy of this equation for predicting y. (Use a = 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 ý = bo + 5* + bx (Round bo to two decimal places and b, to three decimal places and b, to four decimal places.) Comment on the adequacy of this equation for predicting y. (Use a = 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.)

Answer 1

from excel: data-data analysis: regression

a)

y^ =8.61+0.470x

The high p-value and low coefficient of determination indicate that the equation is inadequate.

b)

y^ =-12.94+2.930x-0.0593x²

The low p-value and high coefficient of determination indicate that the equation is adequate.

c)

predicted value =-12.94+2.930*20-0.0593*(20^2)=21.94 (please try 21.92 if this comes wrong)