The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 $43.75 February 2011 $44.21 March 2011 $44.42 April 2011 $45.15 May 2011 $45.94 (a) Find the equation of the regression line. (Let P be the stock price in dollars and t the time in months since January, 2011. Round the regression coefficients to three decimal places.) P(t) =  $$0.532t+43.630

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The following table shows the average stock price, in dollars, of XYZ Corporation in the given month.

Month Stock price
January 2011 $43.75
February 2011 $44.21
March 2011 $44.42
April 2011 $45.15
May 2011 $45.94
(a) Find the equation of the regression line. (Let P be the stock price in dollars and t the time in months since January, 2011. Round the regression coefficients to three decimal places.)
P(t) = 
$$0.532t+43.630
 
 
  


(b) Plot the data points and the regression line.
   
   

(c) Explain in practical terms the meaning of the slope of the regression line. (Round your answers to the nearest cent.)
The slope is   dollar per month, and this means that the stock price increases by about $   each month.

(d) Based on the trend of the regression line, what do you predict the stock price to be in January 2012? In January 2013? (Round your answers to the nearest cent.)
January 2012     $  
January 2013    
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