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ELEN [110]
3 years ago
8

Which of the following is true about multi-collinearity? Group of answer choices The P-value reduces significantly, leading to r

ejection of the null hypothesis. The effect of an independent variable on the dependent variable becomes difficult to isolate. It is measured using a measure called variance inflation factor (VIF). The regression coefficients become clearer and are easier to interpret.
Mathematics
1 answer:
julsineya [31]3 years ago
6 0

Answer:

It is measured using a measure called variance inflation factor (VIF).

Step-by-step explanation:

This is the statement that is true about multi-collinearity. Multi-collinearity is a situation that can sometimes arise when dealing with a multiple regression model. Multicollinearity refers to the occurrence of high intercorrelations among various independent variables. This can often lead to results that are skewed or misleading. The main way in which multi-collinearity can be measured is by using the variance inflation factor (IVF). This allows us to quantify the severity of multi-collinearity.

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A tank contains 240 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
Novosadov [1.4K]

Answer:

A(t)=240-220e^{-\frac{t}{40}}

Step-by-step explanation:

A tank contains 240 liters of fluid in which 20 grams of salt is dissolved.

  • Volume of the tank = 240 liters
  • Initial Amount of Salt in the tank, A(0)=20 grams

Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min

R_{in}=(concentration of salt in inflow)(input rate of fluid)

R_{in}=(1\frac{gram}{liter})( 6\frac{Liter}{min})=6\frac{gram}{min}

R_{out}=(concentration of salt in outflow)(output rate of fluid)

R_{out}=(\frac{A(t)}{240})( 6\frac{Liter}{min})\\R_{out}=\frac{A}{40}

Rate of change of the amount of salt in the tank:

\dfrac{dA}{dt}=R_{in}-R_{out}

\dfrac{dA}{dt}=6-\dfrac{A}{40}

We then solve the resulting differential equation by separation of variables.

\dfrac{dA}{dt}+\dfrac{A}{40}=6\\$The integrating factor: e^{\int \frac{1}{40}dt} =e^{\frac{t}{40}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{40}}+\dfrac{A}{40}e^{\frac{t}{40}}=6e^{\frac{t}{40}}\\(Ae^{\frac{t}{40}})'=6e^{\frac{t}{40}}

Taking the integral of both sides

\int(Ae^{\frac{t}{40}})'=\int 6e^{\frac{t}{40}} dt\\Ae^{\frac{t}{40}}=6*40e^{\frac{t}{40}}+C, $(C a constant of integration)\\Ae^{\frac{t}{40}}=240e^{\frac{t}{40}}+C\\$Divide all through by e^{\frac{t}{40}}\\A(t)=240+Ce^{-\frac{t}{40}}

Recall that when t=0, A(t)=20 (our initial condition)

20=240+Ce^{-\frac{0}{40}}\\20-240=C\\C=-220\\$Therefore, the number A(t) of grams of salt in the tank at time t\\A(t)=240-220e^{-\frac{t}{40}}

3 0
3 years ago
Suppose a number is rounded to the nearest hundred thousand. What is a number greater than 700,000 that rounds to 700,000?
tatiyna
Any number greater than 700,000 with ten-thousands digit 1 through 4 will round down to 700,000.  For example, 748,235 will round to 700,000.
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Stacey and Jeremy sent out 380 invitations They have received 127 responses. What does q represent in the equation 380-q = 127
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Order decimals from least to greatest .. 1.09, 1.901,1.9,1.19
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The easiest way to do this is to write the decimals with equal amount of places after the dot and you'll see it more clearly:

1.09 = 1.090
1.901 = 1.901
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So from the least to the greatest:

1.090
1.190
1.900
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In a form you gave at the beginning:

1.09 < 1.19 < 1.9 < 1.901
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Answer:

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