The given data suggests an association between fuel efficiency and engine displacement. The regression model defined is: Mpg = 36.25 – 3.867 Engine size. Residuals are determined by the difference between actual and predicted values. Residual = y - ŷ, where y signifies the actual value and ŷ denotes the predicted value. A positive residual indicates the vehicle's true mileage surpasses what was anticipated.
To start with,
Let x signify the balance in the first savings account.
Let y signify the balance in the second savings account.
The combined total in the accounts is $9,000, leading to the equation:
x + y = 9000 (1)
Zack withdrew 10% from account x and 60% from account y, totaling $2,175.
Thus,
0.1x + 0.6y = 2175
or
x + 6y = 21750 (2)
To find y, subtract equation (1) from (2):
x + 6y - (x + y) = 21750 - 9000
5y = 12750
y = 2550
Next, from (1), compute:
x = 9000 - 2550 = 6450
Consequently, the balance in the first account is
0.9*x = 0.9*6450 = $5,805, while the balance remaining in the second account is
0.4*y = 0.4*2550 = $1,020.
Final answer:
The balance in the first account is $5,805 and the balance in the second account is $1,020.
