Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Practice throws(X) : 4 10 6 15 0 7 11
Free throws(Y) : 8 23 9 34 5 11 27
Using the online linear regression calculator :
ŷ = 2.1559X + 0.3912
2.1559 = slope
0.3912 = intercept
X = independent variable ; y = dependent variable
The Coefficient of determination (R²) = 0.9506² = 0.9036
Quadratic model : y = 0.0961x²+0.7138x+3.8031
Coefficient of determination(R²) = 0.9739² = 0.9485
Exponential model:
a*b^x
Coefficient of determination (R²) = 0.9753² = 0.9512
The exponential model fits the data best.
Answer:
Step-by-step explanation:
If Daniel does 1/9 of the job in one hour
let x = Paul's rate
Paul does 1/x of the job in one hour
They both do the job in 4.95hrs
(1/9)(4.95) + (1/x)(4.95) = job completion
multiply both sides by 9x
(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)
4.95x + 9*4.95 = 9x
4.95x + 44.55 = 9x
9x - 4.95x = 44.55
4.05x = 44.55
x = 44.55/4.05
x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone
