Which of the following equations could be the trend line of variables that have a negative correlation?

Mathematics

1 answer:

fgiga [73]2 years ago

7 0

Answer:

We will now call regression with just one explanatory variable simple linear re- ... We now think that the relationship between longevity and thorax length has ... parallel lines is s = √. 1 n − 3. ∑ residual. 2 = √. 1 n − 3. ∑. (y − ^y)2 ... Comparing these estimated regression equations with the two separate regression lines ...

Step-by-step explanation:

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Lisa sold costume jewelry at a bazaar. The first hour she sold 2 bracelets and 3 rings for a total of $36.00 later a customer bo

saw5 [17]

2x + 3(6) = 36

2x + 18 = 36

2x = 18

x = 9

answer: each bracelet costs $9

7 0

2 years ago

Find the values of the pronumerals in this diagram. Write down the reason in each case.

timofeeve [1]

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

5 0

2 years ago

The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

LW = 486

Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

(W +27)(W -18) = 0 . . . . factor

W = 18 . . . . the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.