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Andreyy89
3 years ago
15

The graph shows a scatterplot, along with the best fit line. The points A, B, C, and D are not part of the set. Adding which poi

nt will most DECREASE the value of the correlation coefficient? A) A B) B C) C D) D

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

A. A

Step-by-step explanation:

In a scatter plot, the value of correlation coefficient is represented by values between -1 to 1. The closer any value of correlation coefficient is to "0", the farther the data points on a scatter plot are from the line of best fit.

Invariably, considering the scatter plot shown in the graph above, the point that will MOST DECREASE the value of correlation coefficient is point A. This is because, if point A is added in the scatter plot, it will cause the value of correlation coefficient to be closer to 0, as point A is the farthest from the line of best fit compared to other points. This will make the data points more spread out and less clustered along the line of best fit.

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Which of the triangles shown are scalene triangles?
sergij07 [2.7K]

The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

<h3>What is a Scalene Triangle?</h3>

A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.

This means that any two sides or two angles of a scalene triangle must not be equal.

Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

Learn more about scalene triangle on:

brainly.com/question/16589630

3 0
1 year ago
Use the data in LAWSCH85 for this exercise. (i) Using the same model as in Problem 4 in Chapter 3, state and test the null hypot
natka813 [3]

Answer:

Step-by-step explanation:

In the model

Log (salary) = B0 + B1LSAT +B2GPA +B3log(libvol) +B4log(cost)+B5 rank+u

The hypothesis that rank has no effect on log (salary) is H0:B5 = 0. The estimated equation (now with standard errors) is

               Log (salary) =    8.34 +    .0047 LSAT +   .248 GPA +   .095 log(libvol)

                                        (0.53)     (.0040)              (.090)            (.033)

                                         +     .038 log(cost)    – .0033 rank

                                              (.032)                    (.0003)

                   n = 136,    R2 = .842.

The t statistic on rank is –11(i.e. 0.0033/0.0003), which is very significant. If rank decreases by 10 (which is a move up for a law school), median starting salary is predicted to increase by about 3.3%.

(ii) LSAT is not statistically significant (t statistic ≈1.18) but GPA is very significance (t statistic  ≈2.76). The test for joint significance is moot given that GPA is so significant, but for completeness the F statistic is about 9.95 (with 2 and 130 df) and p-value ≈.0001.

6 0
3 years ago
The following equation defines f(x)=-3x-5 . If (-5,n) is an ordered pair of the function rule, what is the value of n?
ElenaW [278]

Given:

The function is

f(x)=-3x-5

(-5,n) is an ordered pair of the function rule.

To find:

The value of n.

Solution:

If (-5,n) is an ordered pair of the function rule, then the function must be satisfied by the point (-5,n). It means f(-5)=n.

Substitute x=-5 in the given function.

f(-5)=-3(-5)-5

f(-5)=15-5

f(-5)=10

We know that, f(-5)=n. So,

n=10

Therefore, the value of n is 10.

4 0
3 years ago
Rewrite as a simplified fraction.
Alex17521 [72]
1157/500 is as simple it can be as a fraction .
3 0
3 years ago
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

Step-by-step explanation:

Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

6 0
3 years ago
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