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1 year ago

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A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table

. What is the line of best fit?

1 answer:

BartSMP [9]1 year ago

5 0

Answer:

the answer is c y=-3.6x+12.8

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The two lines, P and Q, are graphed below: Line P is drawn by joining ordered pairs negative 8,15 and 6, negative 12. Line Q is

andreyandreev [35.5K]

Solution:

Keep in mind ,

Equation of line joining two points (a,b) and (p,q) is given by :

$\frac{q-b}{p-a}=\frac{y-b}{x-a}$

Equation of line P which is obtained by joining (- 8,15) and (6, - 12) is given by:

$\frac{y-15}{x+8}=\frac{-12-15}{6+8}\\\\ 14(y-15)=-27(x+8)\\\\ 14 y -210= -27 x - 216\\\\ 27 x+14 y+6=0$

Equation of line Q which is obtained by joining (4,16) and (-9, 10) is given by:

$\frac{y-16}{x-4}=\frac{16-10}{4+9}\\\\ 13(y-16)=6(x-4)\\\\ 13 y -208= 6 x - 24\\\\ 6 x-13 y+184=0$

Equation of line P and Q are

27 x+14 y+6=0-------(1)× 2

6 x-13 y+184=0-------(2)× 9

54 x + 2 8 y+12=0---(1)

54 x -117 y +1656=0----(2)

(1) - (2)

145 y= 1644

y=11.33,

27 x+14 y+6=0-------(1)×13

6 x-13 y+184=0-------(1)×14

351 x + 182 y + 78=0-----(1)

84 x - 182 y +2576=0----(2)

(1) + (2)

435 x + 2654=0

x = - 6.11

So, solution set is (-6.11, 11.33)

Option (C) is true. (−2, 4), because this point makes both the equations incorrect.

8 0

2 years ago

In a hospital, there are 250 registered nurses. 100 of the nurses are males. What is the ratio of male nurses to female nurses i

Dimas [21]

Answer:

The ratio of male nurses to female nurse in lowest terms is: 2:5

Step-by-step explanation:

Given: In a hospital, there are total 250 registered nurses.

Number of nurses are males = 100

Number of nurses are females = 250 - 100 = 150 [ Total nurses - number of male nurses]

To find the ratio of male nurse to female nurses in lowest terms;

A ratio shows that the relative sizes of two or more values.

Then,

$\frac{Number of male nurses}{Number of female nurses}$ = $\frac{100}{250}$

or

= $\frac{100}{250} =\frac{10}{25} =\frac{2}{5}$ = 2:5

Therefore, the ratio of male nurses to female nurses in lowest terms is; 2 :5

7 0

2 years ago

Read 2 more answers

g Steel used for water pipelines is often coated on the inside with cement mortar to prevent corrosion. In a study of the mortar

aleksandr82 [10.1K]

Answer:

$P(X$

And we can find this probability using the z table and we got:

$P(z$

Step-by-step explanation:

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.635,0.082)$

Where $\mu=0.635$ and $\sigma=0.032$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the z table and we got:

$P(z$

7 0

2 years ago

John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friend

svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

$\frac{7}{11}(x-110)=\frac{7}{11}x-70$

Then he put 2/5 of his remaining money into a checking account

$\frac{3}{5}\left(\frac{7}{11}x-70\right)$

Rest he donated to charity

$420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210$

Hence total amount of money John originally had was $1210

8 0

2 years ago

An elevator starts at the 6th floor. It goes up 7 floors twice, and then it goes

seraphim [82]

The second

6+(7×2)-10 = 10
20-(5×3)+12 = 17

4 0

2 years ago

Read 2 more answers