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Naddik [55]
3 years ago
7

Which of the following equations best represents the regression line for the data given in the

Mathematics
1 answer:
True [87]3 years ago
7 0

The regression equation for the data given is y= -8.57 -2.31x

Step-by-step explanation:

The first step is to form a table as shown below;

x           y          xy         x²         y²

1            4           4          1          16

2            1            2          4         1

3            5          15         9         25

4             10         40        16       100

5             16         80        25      256

6              19        114       36        361

7               15       105       49       225

28             60       360      140     984  ------sum

A linear regression equation is in the form of y=A+Bx

where ;

x=independent variable

y=dependent variable

n=sample size/number of data points

A and B are constants that describe the y-intercept and the slope of the line

Calculating the constants;

A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²

A=(60)(140) - (28)(360)  / 7(140)-(28)²

A=8400 - 10080 /980-784

A= -1680/196

A= - 8.57

B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²

B= 7(360)-(28)(60) / 7(60) - (28)²

B=2520 - 1680 /420-784

B=840/-364

B= -2.31

y=A+Bx

y= -8.57 -2.31x

Learn More

Regression equation :brainly.com/question/12280902

Keywords : equations, regression line, data

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

Miles cost:

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2 years ago
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
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Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

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  • 26 in the French class,
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So,

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In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

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0.5\cdot 0.5=0.25

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3 years ago
Can you help me out on this question?
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Answer:

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We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

3/9 = 6/x  

We then use cross-multiplication to solve for x.

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3 years ago
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Complete Question:

The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the  cost, C.

Answer:

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Step-by-step explanation:

Given

5\ peppers = \$2.25

Required

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Multiply both sides by n to get the cost of n pepper

n*1\ pepper = \$0.45*n

n\ pepper = \$0.45n

So, we have:

C = 0.45n

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