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Helen [10]
3 years ago
14

Does the residual plot show that the line of best fit is

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

Answer:

e_1 = 3.5-4.06= -0.56

e_2 = 2.3-2.09= 0.21

e_3 = 1.1-0.12= 0.98

e_4 = -2.2-(-1.85)= -0.35

e_5 = -4.1-(-3.82)= -0.28

The plot is on the figure attached. And we can see that the residuals shows a curved pattern so then the best conclusion for this case would be:

Yes, the points are in a curved pattern.

Step-by-step explanation:

The correct formula for the residuals is given by:

e_i =y_i -\hat y_i

Who represent the observed value minus the predicted. We can find the individual residuals and we got:

e_1 = 3.5-4.06= -0.56

e_2 = 2.3-2.09= 0.21

e_3 = 1.1-0.12= 0.98

e_4 = -2.2-(-1.85)= -0.35

e_5 = -4.1-(-3.82)= -0.28

The plot is on the figure attached. And we can see that the residuals shows a curved pattern so then the best conclusion for this case would be:

Yes, the points are in a curved pattern.

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Which is the most reasonable way to estimate 26% of 88?
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Answer:

88 x 0.26 = 22.88% or 23%

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3 years ago
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Jen bought a new brush for $10.50
Akimi4 [234]

Answer:

$15.35

Step-by-step explanation:

Brush = $10.50

Paint = $22.50

Sales tax = (10.50 + 22.50) x 0.05 = $1.65

Add up all the money Jen needs to pay = 10.50 + 22.50 + 1.65 = $34.65

Jen paid with a $50 bill so subtract 34.65 from 50 to get $15.35

8 0
3 years ago
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F(x)=2x-4. F(x)=2x-4 f-1x=_x+_. Complete the inverse function
natita [175]

Answer:

f^{-1}(x) = \frac{1}{2}(x +4)

Step-by-step explanation:

Given

f(x) = 2x - 4

Required

Determine the inverse function

Start by replacing f(x) with y

y = 2x - 4

Swap the positions of y and x

x = 2y - 4

Make y the subject: <em>Add 4 to both sides</em>

x+4 = 2y - 4+4

x+4 = 2y

Make y the subject: <em>Divide through by 2</em>

<em></em>\frac{1}{2}(x + 4) = y<em></em>

<em></em>y = \frac{1}{2}(x + 4)<em></em>

<em></em>

Replace y with f-1(x)

f^{-1}(x) = \frac{1}{2}(x +4)

3 0
3 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

8 0
3 years ago
Can someone please help me
belka [17]

Answer:

D

Step-by-step explanation:

First we need to figure out how many people are going on the field trip

if each class has 27 people going and there are 6 classes, 6*27=162

162 ppl are going. If 3 buses can hold 48 ppl then 3*48=144

3 buses are not enough, if we were to bring in one more bus 4*48=192

there would be enough place for everyone

7 0
3 years ago
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