Refer to the data on average state Math SAT scores for 2010 and 2014, Exercise 2.27. The first five observations and last two observations in the file are reproduced in the next table. In Exercise 2.128 (p. 108), you examined the relationship between the 2010 Math SAT scores and the 2014 Math SAT scores with a scatterplot.

a. Write the equation of a straight-line model relating 2014 Math SAT score (y) to 2010 Math SAT score (x).
An SPSS simple linear regression printout for the data is shown. Find the least squares prediction equation.
b. Give a practical interpretation of the y-intercept of the least squares line. If a practical interpretation is not possible, explain why.
c. Give a practical interpretation of the slope of the least squares line. Over what range of x is the interpretation meaningful?

State 2014 2010 Alabama Alaska Arizona Arkansas California 538 503 525 571 550 513 524 564 510 516 Wisconsin Wyoming 608 599 603 565 Unstandardiced Coeficients SM. Emor Standardted Coeficiente Model Bata Sig 70.692 29.807 -2365 20.417 (Constant 022 946 MATH2010 1,132 055 00