y=0.0992x-0.0009, R^2 = 0.5206 GPA 3.5 3.0. 2.5 2.0 1.5 АСT 25 30 35 (a) Does this data support the claim that the ACT and GPA are linearly correlated, at a = 0.05? Justify your answer. (b) What is the predicted GPA for a student who scores a 30 on the ACT?

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Bela is trying to determine whether ACT score and college GPA are correlated. She takes 47 randomly selected students, and creates the following scatter plot.

y=0.0992x-0.0009, R^2 = 0.5206
%3D
GPA
: :
3.5
3.0.
2.5
2.0
1.5
АСT
25
30
35
(a) Does this data support the claim that the ACT and GPA are linearly correlated, at a = 0.05? Justify your answer.
(b) What is the predicted GPA for a student who scores a 30 on the ACT?
Transcribed Image Text:y=0.0992x-0.0009, R^2 = 0.5206 %3D GPA : : 3.5 3.0. 2.5 2.0 1.5 АСT 25 30 35 (a) Does this data support the claim that the ACT and GPA are linearly correlated, at a = 0.05? Justify your answer. (b) What is the predicted GPA for a student who scores a 30 on the ACT?
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