Each year, students in an elementary school take a standardized math test at the end of the school year.

For a class of fourth-graders, the average score was 55.1 with a standard deviation of 12.3. In the third grade, these same students had an average score of 61.7 with a standard deviation of 14.0. The correlation between the two sets of scores is r = 0.95. Calculate the equation of the least-squares regression line for predicting a fourth-grade score from a third-grade score.

(a) y^ = 3.60 + 0.835x

(d) y^ = −11.54 + 1.08x

(b) y^ = 15.69 + 0.835x

(e) Cannot be calculated

(c) y^ = 2.19 + 1.08x without the data.