Using the following data on candidates for the Virginia state legislature: 1) Calculate the slope and intercept for the regression line. Write out the equation model. Be sure to show your work.

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Question:  Using the following data on candidates for the Virginia state legislature:

  1. Calculate the slope and intercept for the regression line. Write out the equation model. Be sure to show your work.
  2. Interpret the slope and intercept.
Candidate for Virginia General Assembly X = number of years in state politics Y = votes received in Albemarle County
Isabelle 18 2300
Benjamin 5 2950
Sophia 12 1780
Jacob 2 3120

 

We are given following data on candidates for the Virginia state legislature.

Candidate for Virginia General Assembly X = number of years in state politics Y = votes received in Albemarle County
Isabelle 18 2300
Benjamin 5 2950
Sophia 12 1780
Jacob 2 3120

Part a)  Calculate the slope and intercept for the regression line. Write out the equation model. Be sure to show your work.

Y = votes received in Albemarle County depends on X = number of years in state politics, thus Y is response variable( Dependent) and X is Explanatory variable (Independent).

y =b_{0}+b_{1}\times x