Respuesta :
Answer:
[tex]y=6x +135[/tex]
And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.
Step-by-step explanation:
We assume that they use least squares in order to create the regression equation
For this case we need to calculate the slope with the following formula:
[tex]m=\frac{S_{xy}}{S_{xx}}[/tex]
Where:
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]
With these we can find the sums:
And the slope would be:
[tex]m=6[/tex]
The means for x and y are given by:
[tex]\bar x= \frac{\sum x_i}{n}[/tex]
[tex]\bar y= \frac{\sum y_i}{n}[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x[/tex]
For this case we know that the line adjusted is:
[tex]y=6x +135[/tex]
And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.
