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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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What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

slega [8]

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle

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we have

$r=6\ in\\\pi=3.14$

substitute

$C=2(3.14)(6)\\C=37.68\ in$

step 2

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we know that

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using proportion

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When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one

Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that $p = 0.75$

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

$P(X = 6) + P(X < 6) = 1$