Question

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their​ grade-point averages​ (GPAs) after students were in the Sante Fe program for 2 years.

Student   A   B   C   D   E   F   G
SAT Score   419   380   590   693   604   392   412
GPA   2.90   2.87   3.03   3.45   3.66   2.91   2.12
Student   H   I   J   K   L   M  
SAT Score   484   725   506   616   706   370  
GPA   2.53   3.22   1.99   2.75   3.92   1.62   

​a) The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is ​(round your responses to four decimal

y= 0.9870 + 0.0035 x

​b) For a student with an SAT score of 350 the expected GPA​ =

For a student with a SAT score of 790 the expected GPA​ =

The coefficient of determination ​(r squared​) for the​ least-squares regression model is:

The coefficient of determination shows that by using this model about: (Answer either 1/2, 1/3, or 2/3)

PLEASE SHOW ALL WORK

Answer 1