The data below are the temperatures on randomly chosen days during a summer class and the number of absences on those days: Temperature, x | 72 85 91 90 88 98 75 100 80 No. of absences, y | 3 7 10 10 8 15 4 15 5 a) Find the equation of the regression line for the data. b) Assuming that the variables x and y have a significant correlation, what is the predicted number of absences when the temperature is 91? c) Calculate the correlation coefficient. d) Calculate the standard error for the model.

Answers

Answer 1

The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589

See table for sum of values.

The regression equation is:

y=α+βx

β = [tex]\frac{Sxx}{Syy}[/tex]=6995-97799779[tex]\frac{6995-9\times\frac{779}{9}\times\frac{77}{9}}{68613-9(\frac{779}{9} )2}[/tex]= 0.449

α=y-βx= 779-(0.449)7799 = =-30.27

The equation is y=-30.27+0.449x

Where y = predicted variable; x = independent variable = 0.449; - 30.27 = intercept/ slope

Constructing a 91% prediction interval for y:

x = 910

Inputting x = 91 into the regression equation : y = 0.449(91) - 30.27

y = 40.859 - 30.27 = 10.589

Prediction interval = y pm error margin

To save computing time, error margin (E) can be obtained using the online error margin calculator.

Obtained error margin (E) value = 2.3398

(10.589- 2.3398, 10.589+ 2.3398)

(8.2492, 12.9288)

(8, 13)

The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589

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in the diagram, AB=18. find AC and BC

Answers

Answer:

b

Step-by-step explanation:

In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.

The hypotenuse is AB and is 18.

The short leg is BC and is 9.

The only choice with BC = 9 is b.

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Hello!

We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.

We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.

According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.

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Answer:

14.53 is less than 16.3

Step-by-step explanation:

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Step-by-step explanation:

Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.

Answers

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

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Surface area of square pyramid is 95 square yard.

What is surface area of square pyramid?

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

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S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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As part of a holf-marathon route, Charlie
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Answer:

He is 9.9 miles far from his starting point.

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Answers

Answer:

(c) 90°

Step-by-step explanation:

Given

[tex]xy = 0[/tex]

Required

The angle between the line

First, solve for x and y

[tex]xy = 0[/tex]

[tex]x = 0[/tex] or [tex]y=0[/tex]

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The angle between the two axes is 90 degrees

Hence: (c) is correct

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Answers

Answer:

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Step-by-step explanation:

I used a calculator

A population numbers 10,000 organisms initially and decreases by 4.1% each year.
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Answer:

[tex]y = 10000 * 0.959^t[/tex]

Step-by-step explanation:

Given

[tex]a = 10000[/tex]

[tex]r = 4.1\%[/tex]

Required

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[tex]b = 1- 4.1\%[/tex]

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[tex]y =ab^t[/tex] becomes

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Answer:

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Answer:

<E, <F, <G

Step-by-step explanation:

Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?

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22 divided by 1.1 which is 20

Answer:

20

Step-by-step explanation:

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DO NOT SEND ANY LINKS.

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

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All we have to do now, is simplify. Parenthesis first...

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Answer:

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The correct answer is (B). The best statistic is unbiased, with the lowest variability.  

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Answers

Answer:

-2(4 - 1)

Step-by-step explanation:

Choice A: ❌

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Choice B: ❌

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-2(3)

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Answer:

- 2(4 - 1)

Step-by-step explanation:

9 - (- 17)

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Answer:

No, the 10% condition is not met.

Step-by-step explanation:

got it right on edge

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Consider the equation below.



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H0: u ≥ 9.5

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Step-by-step explanation:

The null hypothesis and the alternate hypothesis are reverse of each other.

The claim is either set as the null or alternate hypothesis

The null hypothesis  is : H0: u ≥ 9.5  the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.

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Answers

Answer:

A. 81 cm^2

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

20%

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Step-by-step explanation:

Hi,

To write this answer as a percent, simply divide it by 10.

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(2x+3) is the answer

If 1/4 of a pound cost three dollars how much is 1 pound

Answers

Answer:

1/4=3, 1/4*4= 1 and since 1/4 is $3 just do 1/4:$3+1/4:$3+1/4:$3+1/4:$3 which is $12

Step-by-step explanation:

Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.

Answers

Answer:

24 [tex]\frac {3} {8}[/tex] m

Step-by-step explanation:

[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]

[tex]\frac{15x13}{2x4}[/tex]

Simplify

[tex]\frac{195}{8}[/tex]

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What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

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The area of the grass seed needs to cover A = 34.375 m²

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You have 28 meters of fencing to make a rectangular garden.What different size rectangular gardens could you make with this fencing

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