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3 years ago

I need help asap im not good at math

Mathematics

1 answer:

Andrew [12]3 years ago

8 0

Im pretty sure the answer is D,

g(x)=x+6

Since it was shifted up, and the y intercept was at 0 before. But I am not completely sure! Good luck!

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The time it takes for a planet to complete its orbit around a particular star is called the? planet's sidereal year. The siderea

BartSMP [9]

Answer:

(a) See below

(b) r = 0.9879

(d) See below

(e) No.

Step-by-step explanation:

(a) Plot the data

I used Excel to plot your data and got the graph in Fig 1 below.

(b) Correlation coefficient

One formula for the correlation coefficient is

$r = \dfrac{\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2} -\left (\sum{y}\right )^{2}\right]}}$

The calculation is not difficult, but it is tedious.

(i) Calculate the intermediate numbers

We can display them in a table.

x y xy x² y²

36 0.22 7.92 1296 0.05

67 0.62 42.21 4489 0.40

93 1.00 93.00 20164 3.46

433 11.8 5699.4 233289 139.24

887 29.3 25989.1 786769 858.49

1785 82.0 146370 3186225 6724

2797 163.0 455911 7823209 26569

3675 248.0 911400 13505625 61504

9965 537.81 1545776.75 25569715 95799.63

(ii) Calculate the correlation coefficient

$r = \dfrac{\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2} -\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{9\times 1545776.75 - 9965\times 537.81}{\sqrt{[9\times 25569715 -9965^{2}][9\times 95799.63 - 537.81^{2}]}} \approx \mathbf{0.9879}$

(c) Regression line

The equation for the regression line is

y = a + bx where

$a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\= \dfrac{537.81\times 25569715 - 9965 \times 1545776.75}{9\times 25569715 - 9965^{2}} \approx \mathbf{-12.629}\\\\b = \dfrac{n \sum xy - \sum x \sum y}{n\sum x^{2}- \left (\sum x\right )^{2}} - \dfrac{9\times 1545776.75 - 9965 \times 537.81}{9\times 25569715 - 9965^{2}} \approx\mathbf{0.0654}\\\\\\\text{The equation for the regression line is $\large \boxed{\mathbf{y = -12.629 + 0.0654x}}$}$

(d) Residuals

Insert the values of x into the regression equation to get the estimated values of y.

Then take the difference between the actual and estimated values to get the residuals.

x y Estimated Residual

36 0.22 -10 10

67 0.62 -8 9

93 1.00 -7 8

142 1.86 -3 5

433 11.8 19 - 7

887 29.3 45 -16

1785 82.0 104 -22

2797 163.0 170 - 7

3675 248.0 228 20

(e) Suitability of regression line

A linear model would have the residuals scattered randomly above and below a horizontal line.

Instead, they appear to lie along a parabola (Fig. 2).

This suggests that linear regression is not a good model for the data.

4 0

3 years ago

From the figure below, identify all pairs of alternate interior and alternate exterior angles

spin [16.1K]

alternate exterior

exterior means outside

like a front entrance to a home

1. o & t

2. n & u

alternate interior

interior means inside

like as if its inside a house

1. p & s

2. q & r

( p & s ) AND ( q & r ) both look like the letter Z

https://brainly.in/question/44754772

5 0

2 years ago

I need help really bad

Ivan

Answer:

The difference of ten and five: 10 - 5

The quotient of ten and five: 10 ÷ 5

The product of ten and five: 10 ⋅ 5

The sum of ten and five: 10 + 5

Step-by-step explanation:

difference is subtraction

quotient is division

product is multiplication

sum is addition

8 0

3 years ago

Read 2 more answers

What is 3-2(4-7) divided by 9 show your work

Feliz [49]

3-2(4-7)
1 3
3
3-2=1 when there is no operation in between the parentheses, you multiply
(4-7)=3
So 1 times 3 equals=3

3 0

3 years ago

How do you find the slipw

dmitriy555 [2]

Answer:

Slopes of perpendicular lines are the opposite reciprocal of each other. If you know the slope of one line, just multiply it by -1 and flip the fraction to find the perpendicular slope.

7 0

3 years ago