Answer:
1.)2240
2.)1173.33334
3) soda = 3, calcium chloride = 2.625
Step-by-step explanation:
Baking soda (spoons)
1 - 1 - 1 - 2 - 2 -2 - 3
Calcium chloride (spoons)
1 - 2 - 3 - 1 - 2 - 3 - 1
Carbon dioxide (milliliters)
800 - 1600 - 1600 - 800 - 1600 - 2400 - 800
Modeling the above using a multiple regression technique:
ŷ = ax1 + bx2 + c
Where ŷ is the predicted value
x1 and x2 are the first and second predictor variable.
ŷ = 106.66667X1 + 640X2 - 0
1.) How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride?
ŷ = 106.66667(3)+ 640(3) - 0
320.00001 + 1920 - 0 = 2240
2.) How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride?
ŷ = 106.66667(2)+ 640(1.5) - 0
213.33334 + 960 + 0 = 1173.33334
C.) To produce 2000mL of gas
It could be achieves a a number of ways
ŷ = 106.66667X1 + 640X2 - 0
For instance if she opts to use 3 spoons of soda
2000 = 106.66667(3) + 640x2
2000 = 320.00001 + 640x2
2000 - 320 = 640x2
x2 = 1680/640
x2 = 2.625 spoons
