The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university.
No. of absences 0 1 2 3 4 5 6 7 8 9
Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2
a) Which variable is the explanatory variable?
b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form).
c) Compute the correlation coefficient
d) Does a linear relation exist between the number of absences and the final grade? Justify your answer.
e) Write out the least-squares regression line equation.
f) Compute and draw the residual (on your scatter plot) for a student who misses 5 class meetings.
g) Explain the slope in context.
h) Is the y-intercept meaningful in this situation? Explain.
i) Compute and interpret the coefficient of determination.
j) Construct a residual plot to verify the requirements of the least-squares regression model.

Answer:

x = 16

y = 5

Step-by-step explanation:

The three sides of an equilateral triangle are equal. Therefore:

3x + 1 = 49

Solve for x.

3x + 1 - 1 = 49 - 1

3x = 48

3x/3 = 48/3

x = 16

Also

18y - 41 = 49

Solve for y.

18y - 41 + 41 = 49 + 41

18y = 90

18y/18 = 90/18

y = 5

Step-by-step explanation:

The length of the original cube is 5 inches.

Answer:

6 kwh

Step-by-step explanation:

(51 - 21.9)/4.66 = 6.24 => 6 kwh

Answer:

4/1440 or 1/360

Step-by-step explanation:

A day has 24 hours and 60 minutes in each hour.

24 × 60 = 1440

I hope this helps.

Answer:

4/1440 or 1/360

Step-by-step explanation:

one day have 24hr .when we convert it to minutes,it becomes 1440minutes. so fraction of 4 min in a day us 4/1440 or in equavalent fraction 1/360.

Answer:

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

Answer:

L = 295ft

W = 95ft

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

If the length is 200 ft more than the width, then:

L = 200+W

Substitute

P = 2(200+W+W)

780 = 2(200+2W)

780 = 400+4W

4W = 780-400

4w = 380

W = 380/4

W = 95ft

Since L = 200+w

L = 200+95

L = 295ft

Answer:

a.) 15 feet

b.) 3.25 seconds

c.) 17.1125 feet

d.) 12.5 seconds

Step-by-step explanation:

a

This is just asking for the y intercept

to get this just do h(0)= 15

b

This is asking for the x value of the vertex

solve that through -b/2a

-1.3/(2*-.2)= 3.25

c

This is asking for the y value of the vertex

to solve this plug in the x value from b

-.2*3.25²+1.3*3.25+15= 17.1125

d

This is asking for an x intercept

using the quadratic formula...

[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]

*note the (+-) before the radical is ± *

logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5

[tex]w - (14) < 8 \\ = w < 8 + 14 \\ \\ w = < 22[/tex]

Step by Step Explanation:

#CarryOnLearning

A. 13

Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.

(notes: as a father is not within the problem, there is no reason to be in the answer)

Answer:

B)8

A mother has 6 sons.  If there is only one sister, than each son has a sister.  Don't forget to add the mother.  6 + 1 + 1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

C. f(x)=|x|

Step-by-step explanation

Two straight lines denotes the mod which is a type of function which means it will always gives us a positive value (output) even on Nagative input, shown in the table, -2 2, -1 1, 0 0

For example,

|2|=2, |-2|=2

|1|=1

|-1|=1

Answer:

12[tex]x^{3}[/tex]y[tex]x^{4}[/tex]

Step-by-step explanation:

When you multiply numbers with variable terms, each term has to be multiplied by like terms.

3[tex]x^{2}[/tex]y× 4×y[tex]x^{3}[/tex]

Separate the terms.

3 · [tex]x^{2}[/tex] · y × 4 · x · [tex]y^{3}[/tex]

Group the like terms and then multiply them.

( 3 x 4 ) ([tex]x^{2}[/tex] x [tex]x[/tex]) ( [tex]y[/tex] x [tex]y^{3}[/tex])

12 · [tex]x^{3}[/tex] · [tex]y^{4}[/tex]

12[tex]x^{3}[/tex][tex]yx^{4}[/tex]

Hoped this helped :)

Answer:

El individuo poseía treinta millones.

Step-by-step explanation:                              

Podemos expresar la repartición del individuo como sigue:

[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]

Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).

Resolviendo la ecuación de arriba para "x" tenemos:

[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]

[tex] x = 30000000 [/tex]

Por lo tanto, el individuo poseía treinta millones.

Espero que te sea de utilidad!                  

Answer:

Probability call the likelihood of the occurrence of an event.

Step-by-step explanation:

No C

Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

= (1/2-3/4)×(-5/6+13/8)

= -1/4×19/24

= -19/96

Answer:

I hope this helps you quickly

Step-by-step explanation:

dwvrbrhrbrnk Frankenstein's 4h5wmye

Answer:

the first diagram

Step-by-step explanation:

first one

Answer:

3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27

Step-by-step explanation:

Answer:3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27

Step-by-step explanation:

Answer:

denominator of 12 (first blank) making the numerator 9. equivalent fraction 9/12 (second blank)

Step-by-step explanation:

lowest common denominator is 12. make sure what you do to the denominator (4times3)= 12, you do to the numerator (3times3)=9

Answer:

The first blank is the denominator of 12 so the numerator is 9. Which makes the answer 9/12

Step-by-step explanation:

Hope this helps! :)>

Answer:

The correct answer is - 768.

Step-by-step explanation:

The given question is based on a specific pattern present in between the numbers in the given series -

Series = 25 50 99 196 388

to find - next number in series

let us find the relation between the initial two number:

25 - 50, here number 50 is two times of 25 or (x*2-0)

relation between 2nd and 3rd number:

50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)

relation between 3rd and 4th number:

99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)

relation between 4th and 5th number:

196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)

So on this pattern, the next number would be = x*2-8

388*2-8

= 768

Answer:

b. 11% is a statistic and is represented symbolically as p = 0.11

Step-by-step explanation:

A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;

Hence, 11% is a statistic and can be represented symbolically as p = 0.11

Answer:

True

Step-by-step explanation:

Given that X,Y and Z are jointly continuous random variables

For : E [g(Y) | Y= x] = ∫g(y) fY| X ( y|x ) dy

For all choices of g the function is true given that g(y) = a random variable

A random variable is a variable with an unknown value it can be said to assign values to an experimental outcome.

Answer:

Step-by-step explanation:

The angle must be less than 180º

m∠FIE < 180

5x - 15 < 180

add 15 to both sides

5x < 195

Divide both sides by 5

x < 39

Therefor the first three choices are physically impossible

x = 21

Answer:29.16 ml  was left

Step-by-step explanation:

2/3-3/8=

16/23-9/24=

7/24x100/1=

then divide

Answer:

y*y*y*y*y*y*y*y

Step-by-step explanation:

(y^4)^2  =  y*y*y*y*y*y*y*y

Here the base (y) shows up as a multiplicand 8 times.  (y*y*y*y)(y*y*y*y) is equivalent.

Answer:

[tex](y^{4} )^{2}[/tex]

[tex]y^{8}[/tex]

seems like a strange question to make it

harder to read... but with no exponents it would look like this

y*y*y*y*y*y*y*y

Step-by-step explanation:

Answer:

repeating due to the denominator

Step-by-step explanation:

11/15 = (11/5)×(1/3)

11/5 terminates after 1 place.

but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.

Answer: on the outside its 2y^3z^4 with the inside being 2

Step-by-step explanation:

The expression equals 2y^3z^4sqrt2

Answer:

2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)

Step-by-step explanation:

Simplify the radical expression

2 square root 2 y^3 z^4

reduce the index of the radicel and expondent with 2

2 square root 2 y^3 z^4

Answer:

c) IS THE ANSWER

Step-by-step explanation: