Answer:
y = 0.28X - 0.77
Step-by-step explanation:
Given the data :
X:
40
32
38
21
у:
10
8
10
5
Equation of regression line is in the form:
y = mx + c
Where y = predicted variable ;
c = intercept ; m = slope or gradient ; x = predictor variable
Using The correlation Coefficient calculator :
The regression equation obtained is :
ŷ = 0.2754X - 0.77028
Rounding values in our regression output to 2 decimal places :
y = 0.28X - 0.77
Hence best model to make prediction :
y = 0.28X - 0.77
The other half of the coordinate is -1. Just plug 3 in for y and solve.
Since we know that Tanya scored 9,879 fewer points than Juan, we have to subtract 101,473 from 9,879.
101,473-9,879=91,954.
91,954 represents Tanya's points. Now, we'd have to add that to 9,835 points because Will scored more than her.
91,954+9,835=101,429.
Will scored 101,429 points in this game.
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
