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vodka [1.7K]
3 years ago
7

An engineer believes that there is a linear relationship between the thickness of an air filter and the amount of particulate ma

tter that gets through the filter; that is, less pollution should get through thicker filters. The engineer tests many filters of different thickness and fits a linear model. If a linear model is appropriate, what should be apparent in the residual plot

Mathematics
1 answer:
kramer3 years ago
4 0

Answer:

If the model is appropiate, the residual of a linear regression model, when plotted in a scatter plot (residuals vs. independent variable), should be spread around 0, with no significant slope (slope = 0).

Step-by-step explanation:

The residual is defined as the difference between the observed and the predicted value.

If the model is appropiate, the residual of a linear regression model, when plotted in a scatter plot (residuals vs. independent variable), should be spread around 0, with no significant slope (slope = 0).

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Doris takes a survey of her class and finds that 2 of the 20 students in class are left-handed.
djyliett [7]
Hey there, Alex!


She would expect 55 of them to be left handed.


Work: 550 / 20 = 27.5

27.5 x 2 = 55


Hope I was able to help!
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3 years ago
Can someone please help?
Sati [7]

Answer:

It is closer to 7,000 than 8,000

4 0
2 years ago
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Of 25 dogs, 15 weigh more than 35 pounds. What is the percentile rank of a dog that weighs 35 pounds?
maksim [4K]

Basically, 15 out of 25 dogs weigh more than 35 pounds. So that would be:

15/25 = 60/100 = 60%

8 0
3 years ago
Evaluate the following expresslon: -2|9|.<br> 18<br> -11<br> -18<br> 11
dmitriy555 [2]

Answer:

-18

Step-by-step explanation:

The absolute value is only on the 9, and the absolute value of positive 9 is positive 9. Multiply by negative 2 and you get -18.

3 0
2 years ago
Pixel goes shopping with one hundred dollars and ends up buying three different types of items: A, B, and C. The unit price of A
mixas84 [53]

Answer:

  • A - 16, B - 79, C - 5

Step-by-step explanation:

<u>Given</u>

  • A costs 5$
  • B costs  $0.25
  • C costs $0.05
  • A + B + C = 100
  • 5A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000

<u>Subtract the first equation from the second:</u>

  • 99A + 4B = 1900

<u>We have a restriction in numbers:</u>

  • 0 < A, B, C < 100

<u>Since 4B can be max 400, we get 99A > 1500  and 99A < 1900 so:</u>

  • A > 1500/99 > 15

and

  • A < 1900/99 < 19

A can be 16 or 18 as it should be even number to get B the whole number.

<u>If A = 16:</u>

  • 99*16 + 4B = 1900
  • 4B = 1900 - 1584
  • 4B = 316
  • B = 316/4 = 79

<u>If A = 18:</u>

  • 99*18 + 4B = 1900
  • 4B = 1900 - 1782
  • 4B = 118
  • B = 118/4 = 29.5, discarded as decimal

<u>So we get:</u>

  • A = 16, B = 79 and C = 100 - (16 + 79) = 5

<u>Let's proof the numbers:</u>

  • 16*5 + 79*0.25 + 5*0.05 = 100, confirmed

5 0
2 years ago
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