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Xelga [282]
3 years ago
14

A study among first-year students at a state university showed that in general students who skipped more classes earned lower gr

ades. Number of classes skipped explained 36% of the variation in grade index among the students. What is the numerical value of the correlation between number of classes skipped and grade index?
Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer:

The numerical value of the correlation between number of classes skipped and grade index is 0.60.

Step-by-step explanation:

In statistics R² is a measure that is used to determine the proportion of variation in the dependent variable that can be explained by the independent variable. The value of R² is compute by squaring the correlation coefficient (<em>r</em>) between the dependent and independent variable.

                                                  R^{2}=(r)^{2}

In this case the dependent variable is the grades and the independent variable is the number of classes skipped.

The R² between the grades and the number of classes skipped is 36% or 0.36.

Compute the value of <em>r</em> as follows:

       R^{2}=(r)^{2}\\r=\sqrt{R^{2}}\\ =\sqrt{0.36} \\=\pm0.60

Thus, the correlation between number of classes skipped and grade index is ±0.60.

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gogolik [260]
X= 2 1/15 or 31/15.
4 0
3 years ago
If 4 Maths books are selected from 6 different Maths different English books, how many ways can the seven om Maths books and 3 E
alexgriva [62]

Answer:

Please see the answer below

Step-by-step explanation:

a. Since there’s no restrictions .Therefore , the number of ways = 7!*150 = 756000

b. The number of ways such that the 4 math books remain together

The pattern is as follows:  MMMMEEE, EMMMMEE, EEMMMME, and EEEMMMM

Where M = Math’s Book and E= English Book.  

Number of ways = 4!*8!*4*150= 86400 ways.

c. The number of ways such that  math book is at the beginning of the shelf

The number of ways = 6!*4*150 = 432000

d. The number of ways such that  math and English books alternate

The number of ways = 150*4!*3! =2160 ways

e.  The number of ways such that math is at the beginning and an English book is in the middle of the shelf. The number of ways = 4*3*5!*150 =216000 ways.

6 0
3 years ago
Both students made a mistake.
Musya8 [376]
I’m so sorry! I hope you find the answer soon! I’m stressing out as well
5 0
2 years ago
Find the Slope of lines passing through the points: (4,5) and (6,7)​
kupik [55]

the answer is 0.6 you gotta divide and multiply

4 0
2 years ago
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
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