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inysia [295]
2 years ago
14

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict

income. Income Education Job Age Income 1.000 Education 0.677 1.000 Job 0.173 −0.181 1.000 Age 0.369 0.073 0.689 1.000 Which independent variable has the weakest association with the dependent variable?
Mathematics
1 answer:
erma4kov [3.2K]2 years ago
8 0

Answer:

Job has the weakest association with the dependent variable income.

Step-by-step explanation:

The correlation coefficient is used to determine the the strength and direction of the relationship between two variables.

It is denoted by <em>r</em> and the value of <em>r</em> ranges from -1.00 to 1.00.

The correlation data provided is as follows:

                    Income    Education    Job     Age

Income         1.000      

Education     0.677        1.000

Job                0.173         -0.181        1.000

Age               0.369        0.073        0.689   1.000

The dependent variable is the income.

And the variables Education, Job and Age are independent variables.

The correlation between Income and Job is 0.173.

This is the lowest correlation coefficient between the dependent and independent variable.

Thus, Job has the weakest association with the dependent variable income.

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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
2 years ago
For the problem, use the discriminant to determine the number of real solutions for the equation. Then, find the solutions and c
Ksivusya [100]

Answer:

Discriminant = 55.2 > 0 -> 2 real solutions

Solutions: t1 = -1.1663 s and t2 = 0.35 s

The solution t1 doesn't make sense for this problem, as we can't have a negative value for the time.

So the solution is t2 = 0.35 s

Step-by-step explanation:

To find the time when the ball will reach the height of 2 meters, we just need to use the value of h = 2 in the equation given. So, we have that:

−4.9t^2 − 4t + 4 = 2

−4.9t^2 − 4t + 2 = 0

For this equation, we have the constants a = -4.9, b = -4 and c = 2. So the discriminant Delta is:

Delta = b^2 - 4ac = 16 + 39.2 = 55.2

sqrt(Delta) = 7.4297

As Delta > 0, we have 2 real solutions

t1 = (-b + sqrt(Delta)) / 2a = (4 + 7.4297) / (-9.8)  = -1.1663 s

t2 = (-b - sqrt(Delta)) / 2a = (4 - 7.4297) / (-9.8)  = 0.35 s

Number of real solutions: 2

Solutions: t1 = -1.1663 s and t2 = 0.35 s

The solution t1 doesn't make sense for this problem, as we can't have a negative value for the time.

So the solution is t2 = 0.35 s

8 0
2 years ago
longitud del radio de la circunferencia circunscrita a un heptágono regular si su diagonal de menor longitud mide 42 cm
oksano4ka [1.4K]

Answer:

The answer is easy.

Step-by-step explanation:

6 0
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