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 ABCDEFG SAT Score 423 375 590 693 608 390 418 GPA 2.93 2.87 3.03 3.48 3.66 2.85 2.18 Student HIJKLM SAT Score 484 734 501 613 712 362 GPA 2.56 3.22 2.01 2.77 3.90 1.58 a) The least squares regression equation that shows the best relationship between GPA and the SAT score is (round your responses to four decimal places): ModifyingAbove y with caret = enter your response here + enter your response herex where ModifyingAbove y with caret = GPA and x = SAT score. b.) for a student with an SAT score of 390, the expected gpa = (round your response to the neares two decimal places.) c.) for a student with an SAT score of 790 the expected gpa = ( round your response to the neares two decimal places.) the coeffcient of determination for the least square regression model is ? (round your response to the nearest four decimal places) n The coefficient of determination shows that by using this model, about? of the variation is explained to the model

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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
423 375 590 693 608 390 418 GPA
2.93 2.87 3.03 3.48 3.66 2.85 2.18 Student HIJKLM
SAT Score 484 734 501 613 712 362 GPA
2.56 3.22 2.01 2.77 3.90 1.58 a) The least - squares
regression equation that shows the best relationship
between GPA and the SAT score is (round your
responses to four decimal places): ModifyingAbove y
with caret = enter your response here + enter
your response herex where ModifyingAbove y with
caret = GPA and x = SAT score. b.) for a student with
an SAT score of 390, the expected gpa = (round your
response to the neares two decimal places.) c.) for a
student with an SAT score of 790 the expected gpa = (
round your response to the neares two decimal places.)
the coeffcient of determination for the least square
regression model is? (round your response to the
nearest four decimal places) n The coefficient of
determination shows that by using this model, about ?
of the variation is explained to the model
Transcribed Image Text: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 423 375 590 693 608 390 418 GPA 2.93 2.87 3.03 3.48 3.66 2.85 2.18 Student HIJKLM SAT Score 484 734 501 613 712 362 GPA 2.56 3.22 2.01 2.77 3.90 1.58 a) The least - squares regression equation that shows the best relationship between GPA and the SAT score is (round your responses to four decimal places): ModifyingAbove y with caret = enter your response here + enter your response herex where ModifyingAbove y with caret = GPA and x = SAT score. b.) for a student with an SAT score of 390, the expected gpa = (round your response to the neares two decimal places.) c.) for a student with an SAT score of 790 the expected gpa = ( round your response to the neares two decimal places.) the coeffcient of determination for the least square regression model is? (round your response to the nearest four decimal places) n The coefficient of determination shows that by using this model, about ? of the variation is explained to the model
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