Use the following information for questions:
A representative sample of 190 students resulted in a regression equation between y = left hand spans (cm) and x = right hand spans (cm). The least squares regression equation is $\hat{y}$ = 1.46 + 0.938 x. The error sum of squares (SSE) was 76.67, and total sum of squares (SSTO) was 784.8.
-For a student with a right hand span of 26 cm, what is the estimated left hand span?
A) 24.39
B) 25.85
C) 29.60
D) None of the above

Question

Use the following information for questions:
 A representative sample of 190 students resulted in a regression equation between y = left hand spans (cm) and x = right hand spans (cm). The least squares regression equation is $\hat{y}$ = 1.46 + 0.938 x. The error sum of squares (SSE) was 76.67, and total sum of squares (SSTO) was 784.8.
-For a student with a right hand span of 26 cm, what is the estimated left hand span?
A) 24.39
B) 25.85
C) 29.60
D) None of the above

Quizplus · Accepted Answer

To estimate the left hand span for a student with a right hand span of 26 cm, we use the regression equation $\hat{y} = 1.46 + 0.938x$. Substituting $x = 26$, we get $\hat{y} = 1.46 + 0.938(26) = 1.46 + 24.388 = 25.848$. Rounding to two decimal places, the estimated left hand span is 25.85 cm.

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

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