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1 year ago

By visual inspection, determine the best fitting regression model for the data below

Mathematics

2 answers:

AVprozaik [17]1 year ago

7 0

Answer:

A) Quadratic

Step-by-step explanation: It has the U shape of a parabola which a quadratic equation has.

Lena [83]1 year ago

4 0

Answer:

The correct option is A.

Step-by-step explanation:

In a scatter plot the best fit curve in known as regression curve. Types of regression curves are

1. Linear regression line : If the best fit of a data is a straight line, then it is known as linear regression line.

2. Quadratic regression : If the best fit of a data is a U-shape curve, then it is known as quadratic regression.

3. Exponential regression : If the best fit of a data is an exponential curve, then it is known as exponential regression.

From the given graph it is clear that scatter data forms a U-shaped curve. Since the best fit of a data is a U-shape curve, therefore the quadratic regression model is best for the data.

Thus, option A is correct.

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The following table shows last year's revenue for each Herman's Hoagies location.

SOVA2 [1]

Answer:

The revenue for Granton location is 175 thousand dollars

Step-by-step explanation:

Given

Cedarton 121

Rimber 189

Linton 147

Mean = 158

Required

Revenue for Granton location.

To calculate the revenue for Granton location, we make use of mean formula.

Mean is calculated by Summation of Observation divided by number of observations.

Since Granton location is unknown; Let it be represented by letter G.

So, the summation of observation becomes 121 + 189 + 147 + G

Summation = 457 + G

The number of observations = 4

Recall that Mean = Summation ÷ Number

By substituting 158 for mean, 457 + G for summation and 4 for number, we have

158 = (457 + G) ÷ 4

158 = ¼(457 + G)

Multiply both sides by 4

4 * 158 = = 4 * ¼(457 + G)

632 = 457 + G

Make G the subject of formula

G = 632 - 457

G = 175

Hence, the revenue for Granton location is 175 thousand dollars

8 0

2 years ago

Read 2 more answers

Draw the unit circle with center (0,0)and plot the point P=(6,2). Observe there are TWO lines tangent to the circle passing thro

scZoUnD [109]

Answer:

Step-by-step explanation:

Given that a tangent is drawn from P (6,2) to unit circle with center at the origin.

The tangent passing through (6,2) would have equaiton of the form

$y-6 = m(x-2)\\y =mx-2m+6$ for suitable m.

Because this line is tangent, distance of centre of circle namely origin is the radius 1.

i.e. $|\frac{-2m+6}{\sqrt{1+m^2} } |=1\\(-2m+6 )^2 = 1+m^2\\3m^2-24m+35=0\\\\m=1.918, 6.082$

the coordinates are the intersection of the tangent with the circle

They are (-0.162, 0.987) and (0.462,-0.887)

8 0

2 years ago

Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are

Charra [1.4K]

A) How much would it cost to ship a package weighing 3.2 pounds? Explain how you arrived at your answer.
Answer:
Shipping cost of 3.2 package is $4.13.
We can't use the cost assigned to 3 lbs because the package is over 3 lbs but it is not over 4 lbs so we use the cost of 4lbs. (check the attachment for price)

b)What type of graph is needed to represent the Media Mail shipping prices as a function of the weight of the books shipped? Explain your thinking.
Answer:
Line graph is needed to represent the Media Mail shipping prices as a function of the weight of the books shipped.
In line graph, x values represent the weight in pounds and the y values represent the cost.

c)Graph the Media Mail shipping prices as a function of the weight of the books shipped.
Answer;
When we graph the Media Mail shipping prices as a function of the weight of the books shipped, it will be;

f(x) = 2.69 + 0.48(x-1)