We wish to investigate how closely the population of each of…
We wish to investigate how closely the population of each of the 13 original colonies relates to the number of individuals who signed the Declaration of Independence for each colony. The linear regression results are below. 3 pts. a) Provide the equation of the linear regression line. 2 pts. b) Using the linear regression line found in part a, predict the population for a colony that had 7 individuals sign the Declaration of Independence. 2 pts. c) For Pennsylvania, who had 7 individuals sign the Declaration of Independence, the actual population of the colony at that time was 747, 610. How does this compare to your previous prediction of the population? What does this imply about the sign of the residual (prediction error)? Note you do not need to calculate the residual but merely comment on whether the residual is positive or negative. 2 pts. d) Comment on the direction of the relationship. Justify your response by referencing something from the output. 2 pts. e) Describe the strength of the linear relationship. Support your description with the correlation value.
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