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Blizzard [7]
3 years ago
14

The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residu

al of 1? 0.5 3.5 4.0 7.5
Mathematics
2 answers:
andriy [413]3 years ago
3 0
It is related to econometrics, however using simple algebraic logic we can solve this problem. General formula with residual is y=2x+1.5+r, where r is a residual. Plugging the pair into the formula, we obtain that 4=2*1+1.5+r and r=0.5
Zina [86]3 years ago
3 0

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

y=2x+1.5

If the point (1,4) is in the data set.

we need to find the residual of 1.

At x = 1,

y=2x+1.5\\\\y=2\times 1+1.5\\\\y=2+1.5\\\\y=3.5

So, At x = 1, the value of y = 3.5

As we know that

Residual\ value=Estimate\ value-Actual\ value\\\\Residual\ value=4-3.5\\\\Residual\ value=0.5

Hence, The residual of 1 is 0.5.

Thus, First option is correct.

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85 * 15%

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If ΔLMN ≅ ΔOPR, m∠L = (x^2 - x)°, m∠P = 16°, m∠N = (4x+160)°. Find m∠R.
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Answer:

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8 0
2 years ago
Please explain how to get the answer
meriva
Q must be positive in F.

F. r squared will be positive, because any number times itself is positive, and to get a positive number for the answer, the two numbers you multiply need to be the same sign. If r squared is positive, q must be too. 

G. q does not have to be positive. If r is a negative number, then q can be negative. Say q=-2 and r=-3. -2-(-3) changes to -2+3, which equals 1.

H. Again, q can be negative if r is negative (two negative numbers multiplied together equals a positive answer.

J. q can be negative because even a negative number turns positive when squared.

Hope this helped you. :)

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Read 2 more answers
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