linear regressions

Question

A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 76.

x= 61, 54, 86, 77, 53, 77, 90

y= 52, 52, 76, 69, 51, 62, 85

Answer 1

y^{^}=.84x^{^}+3.91 is the linear regression model using TI84. y^{^}=.84(76)+3.91=67.75 is the average test score of someone who has a 76 homework grade.