Use the following information for questions:
A representative sample of n = 12 male college students is used to find a regression equation for y = weight (lbs) and x = height (inches). The least squares regression equation is $\hat{y}$ = 30 + 2 x. The standard error of the estimated slope is 1. The following hypotheses will be tested:
H 0 : $β_1 = 0$
H a :$β_1 ≠ 0$
-What is the value of the t-statistic for testing these hypotheses?
A) 1.0
B) 1.5
C) 2.0
D) 30

Question

Use the following information for questions:
 A representative sample of n = 12 male college students is used to find a regression equation for y = weight (lbs) and x = height (inches). The least squares regression equation is $\hat{y}$ = 30 + 2 x. The standard error of the estimated slope is 1. The following hypotheses will be tested:
H 0 : $β_1 = 0$
H a :$β_1 ≠ 0$
-What is the value of the t-statistic for testing these hypotheses?
A) 1.0
B) 1.5
C) 2.0
D) 30

Quizplus · Accepted Answer

The t-statistic is calculated as the estimated slope (2) divided by the standard error of the slope (1), which equals 2.0.

Use the Following Information for Questions: a Representative Sample y^\hat{y}y^​

Use the Following Information for Questions:
a Representative Sample $\hat{y}$