For the multiple regression model Y with hat on top equals 40 plus 15 X subscript 1 minus 10 X subscript 2 plus 5 X subscript 3,
1 answer:
Answer:
When x1 and x2 decrease 4 units, y decreases by 20 units
Step-by-step explanation:
The regression model is
We have to calculate y for a decrease of 4 units in x1 and x2. For this we have to calculate the variation of y in function of x1 and x2.
As it is a linear regression model, we have:
For a variation in 4 units of x1 and x2, we have
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The value of x, y and z from the system of equation are -1, -8 and 5 respectively.
Data;
- -2x + 6y + 3z = -31
- -3y + 7z = 59
- 2z = 10
To solve this problem, we have to solve the system of equation using substitution method.
From equation (iii)
let us substitute the value of z into equation (ii)
Let's substitute the value of x and y into equation (i)
From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.
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