Question

Given four different data sets, a student calculates the quadratic regression as well as the R^2 value for each using a TI-83...?

Answer 1

Given four different data sets, a student calculates the quadratic regression as well as the R^2 value for each using a TI-83. Which of these result models its respective data the best?

Set A:

a = 1.23
b = -3.27
c = 7.83
R^2 = 0.87394

Set B:

a = -3.745
b = 9.524
c = 12.105
R^2=0.1420

Set C:

a = 142.3629
b = 204.2284
c = -428.2079
R^2 = 0.9328

Set D:

a = 35.29
b = 29.94
c = -10.23
R^2 = 0.0139

Please explain. Thank you!

Answer 2

R^2 indicates how well the regression equation fits the data

R^2 = 1 means it perfectly fits the data
R^2 = 0 means it doesn't fit the data at all