Sagot :
Answer:
(a) (i) y-intercept = 3
(ii) Represents that the team won 3 matches without any practice.
(b) (i) Equation: y = 1.8x + 3,
(ii) 26 matches won
The approximate y-intercept can be determined by seeing when the best fit line crosses the y axis.
Part A
Here the best line crosses the y-axis when y = 3. So coordinates: (0, 3)
Part B
Take two best points touching the line: (0,3), (5, 12)
[tex]\sf slope \ (m) = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{12-3}{5-0} = 1.8[/tex]
Equation:
y - y₁ = m(x - x₁)
y - 3 = 1.8(x - 0)
y = 1.8x + 3
So, after 13 months of practice: y = 1.8(13) + 3 = 26.4 ≈ 26 matches won.
#1
The y intercept should represent how much matches the team won without practice
Here its 3
- (0,3)
#2
- (0,3)
- (5,12)
Slope
- m=12-3/5
- m=9/5
Equation in point slope form
- y-3=9/5x
- y=9/5x+3
After 13 months
- y=9/5(13)+3=117/5+3
Approximately 26matches