Exhibit 14-2.A statistics student is asked to estimate .She calculates the following values. Refer to Exhibit 14-2.What is the sample regression equation?

Question

Exhibit 14-2.A statistics student is asked to estimate  .She calculates the following values.  Refer to Exhibit 14-2.What is the sample regression equation?

Quizplus · Accepted Answer

The sample regression equation is in the form y = a + bx. Using the values calculated by the student, we have:
b = r*(Sy/Sx) = 0.808*(2.101/1.132) = 1.494
a = ybar - b*xbar = 11.9 - 1.494*5.5 = 3.524
Therefore, the sample regression equation is y = 3.524 + 1.494x, or in the format given in the answer choices, 11eaa4ae_7a94_5e63_9180_cfafb4962c51_TB2339_11.