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3 years ago

If the r-value, or correlation coefficient, of a data set is 0.934, what is the

Mathematics

1 answer:

Andreas93 [3]3 years ago

6 0

.872

To find the coefficient of determination, simply square the r-value (r^2).

(.934)^2 = .872356

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Is a || b? Explain using angle measurements. Your response should contain at least 3 full sentences describing how you determine

aliya0001 [1]

9514 1404 393

Answer:

Step-by-step explanation:

Angles 6 and 9 are alternate interior angles where transversal 'a' crosses parallel lines p and q. As such, they are congruent. This means the measure of angle 6 is the same as that of angle 9, 110°.

Angles 6 and 8 are <em>corresponding</em> angles. If lines 'a' and 'b' were parallel, those angles would be congruent. We know angle 6 has a measure of 110° and angle 8 has a measure of 70°, so the angles are not congruent. Hence, lines 'a' and 'b' are not parallel.

<em>Alternate solutions</em>

Since you are not allowed to plagiarize my answer, you may be interested in other ways to show the same thing. The basic idea is to use angle relationships where transversals cross parallel lines. Ones that can be useful here are ...

corresponding angles are congruent
vertical angles are congruent*
alternate interior (or exterior) angles are congruent
sequential interior (or exterior) angles are supplementary.
angles of a linear pair are supplementary*

The relations marked with an asterisk (*) apply where <em>any</em> lines cross, and have no specific relationship to parallel lines. The remaining relationships only occur if the lines are parallel. Showing one of those is not true will show that the lines are not parallel.

8 0

3 years ago

1. How long does it take running at a rate of 12m/s over a distance of 360m?

dedylja [7]

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

8 0

3 years ago

Using the logarithm, solve the following equation for x.<br> 6400 = (8) (2^4x)

expeople1 [14]

Answer:

x = 2.411

Step-by-step explanation:

6400 = (8) (2^(4x))

Divide both sides by 8 to get;

6400/8 = (2^(4x))

800 = (2^(4x))

Using logarithms, we can solve as;

Log 800 = 4xLog 2

4x = Log800/Log2

4x = 2.9031/0.3010

4x = 9.6449

x = 9.6449/4

x ≈ 2.411

8 0

3 years ago

These are the values in Irwin’s data set.

grin007 [14]

The residual points include the difference between the value in Irwin's dataset and the predicted values

<h3>How to plot the residuals?</h3>

The residual is calculated using:

Residual = Actual points - Predicted points

The actual points are:

(1,43), (3, 36), (5,22), (6, 25), (8,14)

The predicted points are:

(1,44), (3, 35), (5,26), (6, 22), (8,13)

Using the residual formula above, we have the residuals to be:

(x,y) = (1,-1), (3, 1), (5,-4), (6, 3), (8,1)

See attachment for the residual plot