The following information regarding a dependent variable (y) and an independent variable (x) is provided. $$\begin{array} { l l }
y & x \
4 & 2 \
3 & 1 \
4 & 4 \
6 & 3 \
8 & 5
\end{array}$$
SSE = 6
SST = 16

The least squares estimate of the slope is
A) 1.
B) 2.
C) 3.
D) 4.

Question

The following information regarding a dependent variable (y) and an independent variable (x) is provided. $$\begin{array} { l l } 
y & x \
4 & 2 \
3 & 1 \
4 & 4 \
6 & 3 \
8 & 5
\end{array}$$ 
SSE = 6
SST = 16
 
The least squares estimate of the slope is
A) 1.
B) 2.
C) 3.
D) 4.

Quizplus · Accepted Answer

The slope of the least squares regression line is calculated as (SST - SSE) / SST. Here, (16 - 6) / 16 = 10 / 16 = 0.625. However, the slope is calculated using the formula: slope = Σ((x - x̄)(y - ȳ)) / Σ((x - x̄)²). Calculating this gives a slope of 1.

The Following Information Regarding a Dependent Variable (Y) and an Independent