Consider the linear equation y=b0+b1x.a. Identify and give the geometric interpretation of b0 .b. Identify and give the geometric interpretation of b1 .

Q. 4.3 - Elementary Statistics

Consider the linear equation y=b₀+b₁x.

a. Identify and give the geometric interpretation of b₀ .

b. Identify and give the geometric interpretation of b₁ .

Verified

Answer

a. $b_{0}$ represents the value of intersection of line and $y$ axis.

b. $b_{1}$ represents the steepness of line.

1Part(a) Step 1: Given information

We need to find the geometric interpretation of $b_{0}$ _.

2Part(a) Step 2: Explanation

The $y$ -value of the point of intersection of the line and the $y$ -axis is given by the integer $b_{0}$ .

3Part(b) Step 1: Given information

We need to find the geometric interpretation of $b_{1}$ ._.

4Part(b) Step 2: Explanation

The value $b_{1}$ represents the line's steepness. It calculates how much the $y$ -value shifts when the $x$ -value shifts by one unit.