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Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
x y
9 7.38
9 6.75
12 13.08
9 7.42
11 7.56
13 8.53
7 5.93
4 5.33
12 8.1
6 6.46
5 5.44

Sagot :

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According to the data provided, The regression line equation is given by

y=2.83+0.52x .  The non-linear characteristics of data is ignored by the regression line.

What do you mean by regression line?

The most popular statistical method for simulating a link between two sets of variables is linear regression. As a result, a linear regression equation that can be applied to data is created.

What is the formula to calculate the line regression?

The required formula are:

[tex]y= a + b_{yx}x[/tex]

[tex]b_{yx} = \frac {n \sum xy - \sum x \sum y}{n \sum x ^ {2} - (\sum x) ^ {2}}[/tex]

[tex]a = \bar y - b_{yx} \bar x[/tex]

[tex]\bar x = 8.81 \\\bar y = 7.45\\\sum x ^ {2} =947\\\sum xy = 770.95[/tex]

[tex]b_{yx} = 0.52[/tex]

[tex]a=2.83[/tex]

y=2.83+0.52x .

In scatter plot, Non-linear characteristics is ignored by the regression line.

To learn more about regression and data visit:

https://brainly.com/question/10980404

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