Consider the following data for two variables, x and y.
x 22 24 26 30 35 40
y 13 20 34 35 39 37
A. Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to one decimal place and b1 to three decimal places.)
ŷ=
B. Use the results from part (a) to test for a significant relationship between x and y. Use = 0.05.
Find the value of the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
p-value =
(c) Develop a scatter diagram for the data. Does the scatter diagram suggast an estimated regression equation of the form y~=b0+b1x+b2x2z2 Explain. No, the scatter diagram suggests that a linear relationship may be appropriate. Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate. Yes, the scatter diaaran suapests that a linear relationstip may be appropriate. Fo, tha scatter diagram suggests that a curvilinear relationship may be appropriato. (d) Develop an estimated regression equation for the date of the form y=bu+b1x+b2x2. (Round bu to one decimal pl y= (a) Wse the resulte from part (d) to test for a significant relationship hatween x,x2, and y. Use a=0.0.5. Is the relational Find the value of the test statistic. (Round rour answer to two decimal places.) Find the p-value. (Hound your answer to three decimal ploces.) p-value - Is tha ralationship between x,x2, and y significant? Yes, the relationahip is significant. Tvo, the relationstip is not significant. (f) Usa the model from part (d) to praclet the value of y when x=25. (Round your answar to three dacimal places.)