Question

The sales of a company (in million dollars) for each year are shown in the table below, identify the linear regression model in the form y=mx+b and report the values of m (slope) and b (intercept) as well as the estimated value of y when the value of x is 10. x (year) | 2005 | 2006 | 2007 | 2008 | 2009 y (sales) | 12 | 19 | 29 | 37 | 45 m = (n ? i=1 to n xi yi - ? i=1 to n xi ? i=1 to n yi) / (n ? i=1 to n xi^2 - (? i=1 to n xi)^2) b = 1/n (? i=1 to n yi - m ? i=1 to n xi) NOTE: You should consider the value x as the elapsed time. For 2005 this would be 0 years, for 2006 it would be 1 year and for 2012 it would be 7 years. What is the value of b? Answer: The sales of a company (in million dollars) for each year are shown in the table below, identify the linear regression model in the form y=mx+b. x (year) | 2005 | 2006 | 2007 | 2008 | 2009 y (sales) | 12 | 19 | 29 | 37 | 45 m = (n ? i=1 to n xi yi - ? i=1 to n xi ? i=1 to n yi) / (n ? i=1 to n xi^2 - (? i=1 to n xi)^2) b = 1/n (? i=1 to n yi - m ? i=1 to n xi) NOTE: You should consider the value x as the elapsed time. For 2005 this would be 0 years, for 2006 it would be 1 year and for 2012 it would be 7 years. What is the predicted value of y (in millions of dollars) when the year is 2012? Answer:

          The sales of a company (in million dollars) for each year are shown in the table below, identify the linear regression model in the form y=mx+b and report the values of m (slope) and b (intercept) as well as the estimated value of y when the value of x is 10.

x (year) | 2005 | 2006 | 2007 | 2008 | 2009
y (sales) | 12 | 19 | 29 | 37 | 45

m = (n ? i=1 to n xi yi - ? i=1 to n xi ? i=1 to n yi) / (n ? i=1 to n xi^2 - (? i=1 to n xi)^2)
b = 1/n (? i=1 to n yi - m ? i=1 to n xi)

NOTE: You should consider the value x as the elapsed time. For 2005 this would be 0 years, for 2006 it would be 1 year and for 2012 it would be 7 years.

What is the value of b?

Answer:

The sales of a company (in million dollars) for each year are shown in the table below, identify the linear regression model in the form y=mx+b.

x (year) | 2005 | 2006 | 2007 | 2008 | 2009
y (sales) | 12 | 19 | 29 | 37 | 45

m = (n ? i=1 to n xi yi - ? i=1 to n xi ? i=1 to n yi) / (n ? i=1 to n xi^2 - (? i=1 to n xi)^2)
b = 1/n (? i=1 to n yi - m ? i=1 to n xi)

NOTE: You should consider the value x as the elapsed time. For 2005 this would be 0 years, for 2006 it would be 1 year and for 2012 it would be 7 years.

What is the predicted value of y (in millions of dollars) when the year is 2012?

Answer:

The sales of a company (in million dollars) for each year are shown in the table below, identify the linear regression model in the form y=mx+b and report the values of m (slope) and b (intercept) as well as the estimated value of y when the value of x is 10.

x (year) | 2005 | 2006 | 2007 | 2008 | 2009
y (sales) | 12 | 19 | 29 | 37 | 45

m = (n ? i=1 to n xi yi - ? i=1 to n xi ? i=1 to n yi) / (n ? i=1 to n xi^2 - (? i=1 to n xi)^2)
b = 1/n (? i=1 to n yi - m ? i=1 to n xi)

NOTE: You should consider the value x as the elapsed time. For 2005 this would be 0 years, for 2006 it would be 1 year and for 2012 it would be 7 years.

What is the value of b?

Answer:

The sales of a company (in million dollars) for each year are shown in the table below, identify the linear regression model in the form y=mx+b.

x (year) | 2005 | 2006 | 2007 | 2008 | 2009
y (sales) | 12 | 19 | 29 | 37 | 45

m = (n ? i=1 to n xi yi - ? i=1 to n xi ? i=1 to n yi) / (n ? i=1 to n xi^2 - (? i=1 to n xi)^2)
b = 1/n (? i=1 to n yi - m ? i=1 to n xi)

NOTE: You should consider the value x as the elapsed time. For 2005 this would be 0 years, for 2006 it would be 1 year and for 2012 it would be 7 years.

What is the predicted value of y (in millions of dollars) when the year is 2012?

Answer:

Added by Melissa M.

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