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vodka [1.7K]
4 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:
kramer4 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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In the interval 0 to the power 0360 find x in which the sin is 0.6691. give your answer to the nearest degree
astraxan [27]

The angle for which the sine value is 0.6691 is found to be 42°.

What is the sine value?

A trigonometric function called sin x, where x is the angle under discussion stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, the hypotenuse and its value change as the angle changes, and it is the ratio of the side opposite to the angle under discussion. In the study of physics, sound and light waves are represented by the sine function.

When the angle between a right-angled triangle's base and hypotenuse changes, the sine's value changes.

sin^{-1}(0.6691)=41.99°≈42°

Learn more about sine values here:

brainly.com/question/2920412

#SPJ4

4 0
2 years ago
63​% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a pr
finlep [7]

Answer:

a. 0.00069

b. 0.063

c.0.00095

Step-by-step explanation:

a. Probability that exactly 5 men consider themselves professional baseball fans:-

Here, there's a 63/100 or 63% possiblity that five (5) men consider themselves fans and of course, a 37/100 possibility that the other 5 men consider themselves non fans. Each of these must be multiplied and then the result will be the probability that exactly five men consider themselves baseball fans:-

(63/100)^5 × (37/100)^5

= 0.09924 × 0.006934

= 0.000688

Therefore the probability that 5 consider themselves baseball fans is 0.00069

b. The probability that at least 6 are fans:-

In this case, each of the 6 men have some 63/100 or 63% possibility of being a fan.

We therefore multiply 63/100 by itself up to six times

i.e 63/100 × 63/100 × 63/100 × 63/100 × 63/100 × 63/100

or (63/100)^6

= 0.06252

The probability that at least 6 men consider themselves professional baseball fans is 0.063

c. Probability that less than four consider themselves baseball fans:-

In this scenario, it means that at least 7 men out of the ten do not consider themselves professional baseball fans. We then simply multiply 37/100 by itself up to seven times. It isn't too necessary what the remaining three are.

= (37/100)^7

= 0.0009493

Therefore the possibility that less than four men do not consider themselves baseball fans is 0.00095

8 0
4 years ago
What are the explicit and recursive formulas for the sequence 540, 180, 60, 20, ...?
Nuetrik [128]

Answer:

-40 i believe

Step-by-step explanation:

3 0
3 years ago
Maddie plots point A (1,3). She then translates
Tpy6a [65]

Answer:

Step-by-step explanation: just do it

6 0
2 years ago
Wholesome Pizza surveyed a random sample of 404040 Trinity Food Festival attendees about their favorite type of pizza. Of the at
ale4655 [162]
For this case the first thing we should do is find the percentage of people surveyed who said that pizza pizza was their favorite type of pizza.
 We have then:
 x = (21/40) * (100)

x = 52.5%
 We are now looking for 52.5% of 1600 people.
 For this, we make the following rule of three:
 1600 ----------> 100%
 x ---------------> 52.5%
 Clearing the value of x we have:
 x = (52.5 / 100) * (1600)

x = 840
 Answer:
 
the most reasonable estimate for the number of Trinity Food Festival attendees whose favorite type of pizza is sausage pizza is:
 
x = 840
6 0
3 years ago
Read 2 more answers
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