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Snezhnost [94]
2 years ago
10

Natalie is rounding some numbers to the nearest tenth. Select the number that will have a 7 in the tenths place after rounding.

4.07 5.64 6.72 7.78
Mathematics
1 answer:
Nadya [2.5K]2 years ago
5 0

Answer: 6.72

Step-by-step explanation:

Natalie is rounding some numbers to the nearest tenth. The numbers given include:

4.07

Rounding this to the nearest tenth equals 4.1

5.64

Rounding this to the nearest tenth equals 5.6

6.72

Rounding this to the nearest tenth equals 6.7

7.78

Rounding this to the nearest tenth equals 7.8

Therefore, the correct option is 6.72

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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.

<u>Method 1:</u>

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

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

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

Here<em> </em>\bar y and \bar x are mean of the <em>y</em> and <em>x</em> 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

<u>Method 2:</u>

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 <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

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

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3 years ago
The scale on a map of Roswell, New Mexico is 1 inch : 0.5 mile. If two buildings in Roswell are 2.3 miles apart in real life, th
Nataly_w [17]

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Answer:

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Step-by-step explanation:

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x+6 = -4 --> subtract 6 from both sides

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