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4 years ago

Based on the line of best fit, which of these statements is true?

Mathematics

1 answer:

lara31 [8.8K]4 years ago

7 0

There’s no pic of the answer sorry

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What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

Method 1:

Using regression analysis the line of best fit is: $y=\alpha +\beta x+e$

Here α = intercept, β = slope and e = error.

The formula to compute the intercept is:

$\alpha =\bar y-\beta \bar x$

Here $\bar y$ and $\bar x$ are mean of the y and x values respectively.

$\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}$

The formula to compute the slope is:

$\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}$

And the formula to compute the error is:

$e=y-\alpha -\beta x$

Method 2:

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

$(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)$

Here r = correlation coefficient = $r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }$

$\sigma_{x}$ and $\sigma_{y}$ are standard deviation of x and y respectively.

$\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}$

3 0

3 years ago

How do I simply this, thanks!

stepan [7]

(-a^3b^2*-a^-2b^-3)^-2/2a^2b^-3 = a^4b^9/2a^8b^4 =b^5/2a^4 so your answer is b^5/2a^4

7 0

3 years ago

How many 2/3- cup servings are in 6 cups of yogurt

Citrus2011 [14]

6 / (2/3)
= 6 * 3/2
= 18/2
= 9

answer

there are 9 (2/3 cup) servings in 6 cups of yogurt

8 0

3 years ago

Read 2 more answers

Apples are on sale for $1.20 a pound. Logan bought 3/4 of a pound. How much money did he spend on apples

kati45 [8]

What I did was turn ¾ in to a fraction (which is 75%) then turned it into a decimal (.75)
then I multiplied .75 by 1.20 and .9
So she spent 90 cents on apples
Hope I helped :)

4 0

4 years ago

Read 2 more answers

Juma earns $12.50 for each newspaper subscription he sells. He also earns $50 base salary each week. If he wants to earn $400 ne

Mandarinka [93]

He would need to sell 28 because
12.50*28=350 and 350+50=400

4 0

3 years ago

Based on the line of best fit, which of these statements is true?​

Based on the line of best fit, which of these statements is true?