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WINSTONCH [101]
3 years ago
7

Consider the following least-squares specification between test scores and the​ student-teacher ratio:

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

Option B

Step-by-step explanation:

Given that the regression equation using least squares for test scores and student teacher ratio is

Test Score = 557.8 + 36.42 In (Income).

Say if 1% income is increased.

Let income be 100

New income = 101

Then we have

Test score original =

557.8+36.42 Ln 100\\= 725.520

Test score new income

= 557.8+36.42 ln (101)\\= 725.882

Increase = 0.362~0.36

Option B is right.

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A bag contains 9 marbles: 3 are green, 2 are red, and 4 are blue. Bob chooses a marble at random, and without putting it back, c
kvasek [131]

Answer: 1/18

Step-by-step explanation:

9 total marbles

2 red

so the first time he picks it would be a 2/9 chance of the marble being red

the second time there would be 8 total marbles and 2 red, so it would be a 2/8 or 1/4 chance.

the probability is found by doing 2/9*1/4 which equals 2/36 or 1/18.

8 0
2 years ago
400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of
alexgriva [62]

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

8 0
2 years ago
College precalc! Please help! I've been struggling.
kiruha [24]

Answer:

B) f(x) = x if x ≤ -2

            2 if x > -2

Step-by-step explanation:

B) f(x) = x if x ≤ -2 (The x and y coordinate have the same value)

            2 if x > -2

8 0
3 years ago
A number plus 18 is less than 28
andrezito [222]
Written as an inequality- x+18<28
8 0
2 years ago
Read 2 more answers
Need assistance please thanks.
Nitella [24]
I guess the answer is 66
5 0
3 years ago
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