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.
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.
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.
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