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Alinara [238K]
3 years ago
10

the scatter plot shows a relationship Which best describes of the data in the scatter plot? A ) linear with a negative correlati

on B.) nonlinear with a negation correlation C.) nonlinear with a positive correlation D.) linear with a positive correlation ​

Mathematics
2 answers:
Elza [17]3 years ago
4 0

Answer:

D

Step-by-step explanation:

it is linear because it is a straight line, and positive because the x and y are both increasing

katrin [286]3 years ago
4 0

Answer:

Option D) Linear with positive  correlation.

Step-by-step explanation:

We are given the following information in the question:

We are given a scatter plot.

Scatter Plot:

  • A scatter plot is a two-dimensional data visualization that uses dots to represent the values obtained for two different variables or data sets, one plotted along the x-axis and the other plotted along the y-axis
  • A scatter plot help us to graph or visualize two sets of data.
  • It help us to know about the correlation between the two sets of data.
  • If the data is positively correlated, both the quantities increase together and if they have a negative correlation then with increase in one quantity the other decreases.
  • Scatter plots are very useful tools for conveying the relationship between two variables.

The figure shows a linear relationship a s we can see a straight line shape of the scatter plot. And with increase in one variable the other variable increases which shows a positive correlation.

Hence, Option D) Linear with positive  correlation.

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Which of the following equation describes all points on a horizontal line that passes through the point (-3, 7)
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Joseph walks his dog 4 times a day to make sure he gets enough exercise. If he walks his dog 2/3 of a mile each time he walks hi
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3 years ago
Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.
Aleks [24]

Answer:

It means \sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6} also converges.

Step-by-step explanation:

The actual Series is::

\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}

The method we are going to use is comparison method:

According to comparison method, we have:

\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}

\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}

Now:

\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty}  \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

\sum_{n=1}^{inf}\frac{1}{n^p}

if p>1 then series converges. In oue case we have:

\sum_{n=1}^{inf}b_n=\frac{1}{n^4}

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means \sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6} also converges.

5 0
4 years ago
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