Logistic regression is used when you want to: Answer choices A. Predict a dichotomous variable from continuous or dichotomous va
1 answer:
Answer:
A. Predict a dichotomous variable from continuous or dichotomous variables.
Step-by-step explanation:
Logistic regression is used when you want to predict a dichotomous variable from continuous or dichotomous variables.
Mathematically, it is given by the expression;
Logistic regression with
,
........
Where;
y represents the dichotomous dependent variable.
,
........
represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.
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The quadratic equation 
can be written in the form:
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
Answer:
Impossible. t=30 minutes.
Step-by-step explanation:
We have the function:
Where v(t) represents the amount of gallons remaining after t minutes.
We want to find at what time t is the <em>instanteous </em>rate of change from the tank 1000 gallons per minute.
In order to determine the instantaneous rate of change, let's find the derivative of our function. So, take the derivative of both sides with respect to our time t:
On the right, let's move the coefficient outside:
To differentiate, let's use the chain rule, which is:
Our u(x) is x² and v(x) is (1-t/20). So, u'(x) is 2x and v'(x) is -1/20. Therefore:
Simplify:
Simplify:
Distribute:
So, the instantaneous rate of change after time t is given by the above function.
To find when the instantaneous rate of change of the water is 1000 gallons per minute, substitute 100 for v'(t) and solve for t. So:
Solve for t. Add 2000 to both sides:
Divide both sides by 100:
So, after 30 minutes, the instantaneous rate of change will be 1000 gallons per minute.
However, if we go back to our original function, our domain t is only defined between 0 and 20 minutes.
So, it is impossible for our instantaneous rate of change to ever reach 1000 gallons per minute.