The data below shows the duration of eruption (in seconds) of a geyser in a national park and the height (in feet) of the eruptions for a typical day. Use Excel to find the best fit linear regression equation, where duration of eruption is the explanatory variable. Round the slope and intercept to one decimal place.Duration Height240 140237 154122 140267 140113 160258 140232 150105 150186 160248 155243 125241 136214 140114 155272 130227 125237 125238 139203 125270 140218 140226 135250 141245 140120 139267 110103 140270 135241 140239 135Provide your answer below:y = _x + _

Answers

Answer 1

Answer:

ŷ = -0.08522X + 157.7779

The slope = - 0.1

Intercept = 157.8

Step-by-step explanation:

Given the data :

Duration __ Height

240 140

237 154

122 140

267 140

113 160

258 140

232 150

105 150

186 160

248 155

243 125

241 136

214 140

114 155

272 130

227 125

237 125

238 139

203 125

270 140

218 140

226 135

250 141

245 140

120 139

267 110

103 140

270 135

241 140

239 135

General regression equation :

y = mx + c

Where

y = predicted variable

x = predictor / explanatory variable

m = slope or gradient

c = Intercept

The regression equation obtained ;

ŷ = -0.08522X + 157.7779

To one decimal place :

ŷ = -0.1X + 157.8

The slope = - 0.1

Intercept = 157.8


Related Questions

In the past year, Michael watched 14 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he think were very good?

Answers

He thought 28% of the movies he’s watched were good

Answer:

35%

Step-by-step explanation:

14÷40= 0.35 (35%)

0.35 × 40= 14

Line x has a slope of -1/2. Line y is perpendicular to line x. What is the slope of line y?

Answers

Answer:

2

Step-by-step explanation:

perpendicular means the opposite inverse of a slope. So -1/2 will become 2/1 or simply 2.

opposite means the sign will change, negative becomes positive and positive becomes negative.

inverse flip numerator and denominator.

[tex]\huge\boxed{Hi\;there!}[/tex]

★Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, change its sign, and then, flop it over:

[tex]\displaystyle-\frac{1}{2}[/tex]

[tex]\displaystyle\frac{1}{2}[/tex]

[tex]2[/tex]

[tex]\huge\boxed{\mathfrak{Answer:{\boxed{the\;slope\;of\;line\;y\;is\;2}}}}}[/tex]

[tex]\bold{Hope\;it\;helps!}[/tex]

[tex]\rm{Enjoy\;your\;day![/tex]

[tex]\boxed{AmiableTeen:)}[/tex]

Ivy wants to see 20 birds on her hike. So far, she has seen 8. How many more birds does she need to see.

Answers

Answer:

12

Step-by-step explanation:

20-8=12

Determine the horizontal asymptote of the function. If none exists, state that fact. f(x) 5x4 + 2x2 -1 3x5-x+4 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one horizontal asymptote, (Type an equation.) and the bottom asymptote is O B. The function has two horizontal asymptotes. The top asymptote is (Type equations.) O C. The function has no horizontal asymptotes.​

Answers

Answer:

I believe this is A

Step-by-step explanation:

Answer: B

Step-by-step explanation:

3+(-2)-(-3)-(5)+(-1)-(-7)=

Answers

Answer:

-1

Step-by-step explanation:

did math on caculator

Study the equation.
y = x2 - 4x - 77
Write the equation in graphing form (vertex form).

Answers

Answer:

y=(x-2)^2-81

Step-by-step explanation:

Frank has a chance of receiving an A grade in statistics, a chance of receiving an A grade in geology, and a chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both). Write your answer as a decimal (not as a percentage).

Answers

Complete Question:

Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).

Answer:

The probability that he receives an A in statistics or geology (or both) is:

0.54

Step-by-step explanation:

Probability of receiving an A grade in statistics = 41% or 0.41

Probability of receiving an A grade in geology = 36% or 0.36

Probability of receiving A grades in both statistics and geology = 23% or 0.23

Let S = statistics and p(S) = probability of A grade in statistics

Let G = geology and p(G) = probability of A grade in geology

Let p(S and G) = probability of A grades in statistics and geology.

The probability that he receives an A in statistics or geology (or both) is:

= p(S + G) - p(S and G)

= (0.41 + 0.36) - 0.23

= 0.54

Non Proportional Relationships
Use the function to make a table of values for the equation.
y= -1/3x-2

Answers

The answer is y=-67 cse facts

How many pounds of chocolates that cost $7 per pound must be mixed with 3 pounds of caramels that cost $3.50 per pound to make a candy mix that
cost $5.25 per pound?

Answers

Answer:

You know somw things are changed i can't even answer that so please answer it yourself because hahhahaahahaahahhahahahha hello

Step-by-step explanation:

Because i dont know how to answer that ok?! Tell that to ur mom haha

please help i will give brainlyest

Answers

Answer:

1 (6/6)

Step-by-step explanation:

because 1/3 will turn into 2/6 so when you add them it will be 6/6 :)

Answer:

6/6 which would be simplified as 1

Step-by-step explanation:

First you have to mutiply the second fraction by 2, both numbers so that both of the bottem numbers in both fractions are the same. Then you add the top numbers and the bottem ones stay the same, which would be 6/6

Then if you have an anoying math teacher, like me, who wants you to simplify everything that answer would be one

Give two reasons why it's impossible to draw triangle PQR m angle Q=103^ m angle R=47^ p = 44 q = 12 , and f = 31

Answers

Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.

Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.

What value of x makes the equation -0.2(3x – 25) = -0.1x + 7 true?

Answers

Answer:

x = -4

Step-by-step explanation:

Ok first let's put the equation.

-0.2(3x – 25) = -0.1x + 7 (first distribute the -.2 to 3x and -25)

-0.6x + 5 = -0.1x + 7 (subtract 5 on both sides)

-0.6x = -0.1x + 2 (add -0.1x on both sides)

-0.5x = 2 (divide by -0.5 on both sides)

x = -4

Hope this helps!!

How do you evaluate a division problem

Answers

Answer:

Step-by-step explanation:

Not wanting to be trite, i'd still suggest that you use a calculator for routine division.  Round off your answer (quotient) to an appropriate number of decimal places.

For example, 2/3 comes out to 0.66666 ... (repeating decimal).  You might want to round this off to 2 decimal places: 0.67.

The old fashioned "long division" is another method.

       0  .  6

    -----------

3  /   2  .  0   0   0

       0.    0  0    0

   ---------------------

        1.     8

and so on.  You still need to round off the quotient to a suitable number of decimal places.

   

plssss i need help rn ​

Answers

Answer:

3

Step-by-step explanation:

(x₁ , y₁) = (-1 , -2)   &    (x₂ , y₂) = (3 , 10)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]

m  = 4

y - y₁ = m (x - x₁)

y - [-2] = 4(x - [-1])

y + 2 = 4(x + 1)

y + 2 = 4x + 4

    y = 4x + 4 - 2

    y = 4x + 2

I dont understand even where to begin on this, please help!​

Answers

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

[tex]f(x)=-2x^2-3x-8[/tex]

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

[tex]\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}[/tex]

And:

[tex]\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}[/tex]

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Calculate the slope:

[tex]m=\frac{-52-(-35)}{4-3}=-17/1=-17[/tex]

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.

if owen has a collection of nickels and quarters worth $8.10. if the nickles were quarters and the quarters were nickels, the value would be 17.70 find the number of each coin?

2

Answers

System of equations
0.05x + 0.25y = 8.10
0.25x + 0.05y = 17.70
x = 67, y= 19
There are 67 nickels and 19 quarters

5
Rectangle WXYZ is located on the coordinate plane. The coordinates for
three of the vertices are listed below. Rectangle WXYZ is dilated by a scale
factor of 2 with a center of dilation at the origin, to form W'X'Y'Z'. What are
the coordinate of vertex X'? *
W (1,6)
Y (3, 2)
z (1,2)
Explain how you determined your answer.
Your answer

Answers

Answer:

     X' = (6 , 12)

Step-by-step explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = ([tex]\frac{3+1}{2} , \frac{6+2}{2}[/tex]) = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = ( [tex]\frac{x+1}{2}, \frac{y+2}{2}[/tex]) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

                       X' = ( 2*3, 2*6)

                       X' = (6 , 12)

Consider the function shown on the graph. Complete the statements to make them true

Answers

Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Solve 3 x 26 below by drawing place value models by typing the answer.

Answers

Answer:

Seven tens, eight ones.

Step-by-step explanation:

It's the answer. XD

Answer:

78

Step-by-step explanation:

1s place and tens place are in 78.

Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

Step-by-step explanation:

For 2 it is 6/7. 36 and 42 share a common factor, 6. If you divide each one by 6, 36 becomes 6, and 42 becomes 7. So, number 2 is 6/7.

Yes the person that answered were correct I had this question

no one helps me bruh....

Answers

Answer:

I'm sorry I just dont know it....

Lines AC and Lines CB are perpendicular because both set of lines intersect at right angles

i need help with this​

Answers

The second number is 40. This is because 5 was multiplied by 2 to be tuned into 10

The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number

Answers

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

-------------

solve by any method to get:

x = 65

y = 13

what is (567x237)x(467x939)
i will mark brainliest

Answers

Answer:

58926938427

Step-by-step explanation:

Answer:

Folow the PEMDAS rules wich show the order in which to do things:

Parenthesis first, then Exponent, then Multiplication/Division and finally Additiion and Subtraction. Therefore we solve whats in parenthesis first then work from there

567x237 is 134,379 and 467x939 is 438,513

now that we solved whats in parenthesis multiply the remaining values:

134,379x438,513=58,926,938,427

58,926,938,427 is correct

Step-by-step explanation:

A triangle has its angles marked (2x+10),(x+20) and (x-10).
a) Calculate the value of x

b) Name the triangle

Answers

Step-by-step explanation:

x= 40

let the triangle be abc


Name two points on a line that has a
slope of a 5/8

Answers

24,10 and 16,5 have slope of a 5/8.

Write a proportion for the situation. Then solve.

One recipe for banana bread says to use 2 cups of honey to make 3 banana breads. How much honey is needed to make 12 banana breads?

Answers

Answer:8 cups

Step-by-step explanation:

2/3=x/12

2x12=24

24 divided by 3 = x

X=8

The Answer is 8 cups

Solve each equation. y + 20 = 7

Answers

Answer:

I Meant y =  -13

Step-by-step explanation:

Answer:

y= -13

Step-by-step explanation:

-13 plus 20 is 7

plug the -13 in where the y is and do the equation

-13+20=7

which is irrational?

A. 5/2
B. 5.22
C. 2/5
D. √5/2

Answers

Answer:

D

Step-by-step explanation:

Plz mark as brainliest!!!

Please help with this

Answers

Answer:

8/3

Step-by-step explanation:

(4/-5)/(-3/10)

(4/-5) x (-10/3)

-40/-15

40/15

8/3

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