Depending on your dependent/outcome variable, a negative value for your constant/intercept should not be a cause for concern. This simply means that the expected value on your dependent variable will be less than 0 when all independent/predictor variables are set to 0. For some dependent variables, this would be expected. For example, if the mean value of your dependent variable is negative, it would be no surprise whatsoever that the constant is negative; in fact, if you got a positive value for the constant in this situation, it might be cause for concern (depending on your independent variables).Even if your dependent variable is typically/always positive (i.e., has a positive mean value), it wouldn't necessarily be surprising to have a negative constant. For example, consider an independent variable that has a strongly positive relationship to a dependent variable. The values of the dependent variable are positive and have a range from 1-5, and the values of the independent variable are positive and have a range from 100-110. In this case, it would not be surprising if the regression line crossed the x-axis somewhere between x=0 and x=100 (i.e., from the first quadrant to the fourth quadrant), which would result in a negative value for the constant.The bottom line is that you need to have a good sense of your model and the variables within it, and a negative value on the constant should not generally be a cause for concern. Typically, it is the overall relationships between the variables that will be of the most importance in a linear regression model, not the value of the constant.
Answer:
B.
Step-by-step explanation:
The values for g(x) divert after the point -1.
So, the values are going to be equal or greater than -1.
Okay, through simple division I'll give you the long side of the work. Known as Long Division: [This may turn out unaligned correctly, but hopefully it works.]
Question 1:
~~~ [][]816.82 ~ Answer. ~ Estimate to 816.8 or 817.
73 / 59628
~~~ 596
~~~ 584 ~ 73 goes into 596 8 times, giving us 584. Subtract and carry.
~~~~ 122
~~~~ []73 ~ 73 goes into 122 1 time, giving us 73. Subtract and carry.
~~~~~ 498
~~~~~ 438 ~ 73 goes into 498 6 times, giving us 438. Subtract and add a 0.
~~~~~~ 600
~~~~~~ 584 ~ 73 goes into 600 8 times, giving us 584. Subtract and add a 0.
~~~~~~~ 160
~~~~~~~ 146 ~ 73 goes into 160 2 times, giving us 146. Finalize the answer.
Question 2:
~~~ [][]6228.35 ~ Answer. Estimate to 6,228.4 or 6,228.
58 / 361245
~~~ 361
~~~ 348 ~ 58 goes into 361 6 times, giving us 348. Subtract and carry.
~~~~ 132
~~~~ 116 ~ 58 goes into 132 2 times, giving us 116. Subtract and carry.
~~~~~ 164
~~~~~ 116 ~ 58 goes into 164 2 times, giving us 116. Subtract and carry.
~~~~~~ 485
~~~~~~ 464 ~ 58 goes into 485 8 times, giving us 464. Subtract and add 0.
~~~~~~~ 210
~~~~~~~ 174 ~ 58 goes into 210 3 times, giving us 174. Subtract and add 0.
~~~~~~~~ 340
~~~~~~~~ 290 ~ 58 goes into 340 5 times, giving us 290. Finalize the answer.
Question 3:
~~~ [][]1631.12 ~ Answer. Estimate to 1,631.1 or 1,631.
64 / 104392
~~~ 104
~~~~ 64 ~ 64 goes into 104 1 time, giving us 64. Subtract and carry.
~~~~ 403
~~~~ 384 ~ 64 goes into 403 6 times, giving us 384. Subtract and carry.
~~~~~ 199
~~~~~ 192 ~ 64 goes into 199 3 times, giving us 192. Subtract and carry.
~~~~~~~ 72
~~~~~~~ 64 ~ 64 goes into 72 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 80
~~~~~~~~ 64 ~ 64 goes into 80 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 160
~~~~~~~~ 128 ~ 64 goes into 160 2 times, giving us 128. Finalize the answer.
I hope that helps, have a great rest of your day! ^ ^
{-Ghostgate-}
Using the median concept, it is found that it suffered a 11.16% decrease.
<h3>What is the median of a data-set?</h3>
It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.
In this problem, the ordered data-set, in thousands of £, is given by:
{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}
It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:
M = (42.5 + 45.1)/2 = £43800.
It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:
P = (49300 - 43800)/49300 x 100% = 11.16%.
More can be learned about the median concept at brainly.com/question/25215461
Answer:
x = 0 and x = -12 are the two zeroes
Step-by-step explanation:
"Zeroes" of a function are also called the solutions, roots or x intercepts.
The zeroes are the numbers that give the function a values of 0, so find what value for 'x' yields F(x) = 0 as a result.
With quadratic equations (equations with x² as the largest exponent), you factor the equation.
Step 1: Set the equation equal to zero
x² + 12x = 0
Depending on the equation, there are several methods you can use to factor, for this one we can factor out an 'x' since both terms have an 'x' in them. We get...
x(x + 12) = 0
So now, using the "zero product property" which means that if two things are multiplied together, and the result is zero, then either the first term is zero, the second term is zero, or they are both zero. So we set each term equal to zero and solve.
So
either x = 0 or x + 12 = 0
Solve each for x to get your two anwers.
x= 0 is already solved, so 0 is our first zero
Now solve
x + 12 = 0
x = -12 (subtract 12 from both sides to isolate x)
