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Dafna1 [17]
2 years ago
6

which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equati

on?
Mathematics
1 answer:
Marat540 [252]2 years ago
3 0

The three quantities needed are the mean of X, the mean of Y, and the slope

<h3>How to determine the values?</h3>

The y-intercept of a linear regression is calculated using:

a = \bar y - a\bar x

Where:

  • \bar y represents the mean of y
  • \bar x represents the mean of x
  • a represents the slope

Hence, the three quantities needed are the mean of X, the mean of Y, and the slope

Read more about linear regression at:

brainly.com/question/25987747

#SPJ12

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The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate
Veronika [31]

It takes 8.35 hours for the size of the sample to double

Step-by-step explanation:

The form of the continuous exponential growth model is

A=Pe^{rt} , where

  • A is the new value
  • P is the initial value
  • r is the rate of growth or decay  in decimal
  • t is the time

∵ The growth rate is 8.3%

∴ r = 8.3 ÷ 100 = 0.083

∵ The size of the sample will doubled in t hours

∴ A = 2 P

Use the formula of the contentious exponential growth above

∵ 2P=Pe^{0.083t}

- Divide both sides by P

∴ 2=e^{0.083t}

- Insert ㏑ in both sides

∴ ln(2)=ln(e^{0.083t})

- Remember ln(e^{n})=n because ㏑(e) = 1

∴ ln(2)=0.083t

- Divide both sides by 0.083

∴ \frac{ln(2)}{0.083}=t

∴ t = 8.35 hours to the nearest hundredth

It takes 8.35 hours for the size of the sample to double

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

#LearnwithBrainly

4 0
4 years ago
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Rasek [7]

Answer and Step-by-step explanation:

To find the range, we must plug in the values 0 to 15 into the function to find the values of f(x), which are the range.

When plugging in the values, we see that the answer should be the last one.

We start with a pay of $15.50, and it increases each time by $10, until it reaches $165.50.

<u>So, D is the answer.</u>

<u></u>

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<em><u>#teamtrees #PAW (Plant And Water)</u></em>

3 0
3 years ago
Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7. 20 per
nalin [4]

Answer:

C, both plans will work for achieving the goal.

Step-by-step explanation:

For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.

For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.

This means that C is correct, because both plans will work for achieving the goal.

4 0
3 years ago
What are the solution of the equation x^2- 4x -32 = 0 ?show your work and justify each step.
soldier1979 [14.2K]
X^2-4x-32=0

(x+a)(x+b)

x^2-(a+b)x+ab

a+b=4
ab=-32

a=-b+4
(-b+4)b=-32

-b^2+4b=-32
b^2-4b-32=0
b=8,-4

If b=8, a=-4
If b=-4, a= 8

Plug in a and b to (x+a)(x+b)
x= -4, 8
6 0
3 years ago
What are the solutions of x^2=-13x-4
atroni [7]
These are the answers
<span> -0.315342
 -12.684658</span>
5 0
4 years ago
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