In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first test. The equation as ˆ y = 10 + 0.75 x where y is the final-exam score and x is the score on the first test. Josh scored 70 on the first test. What is the predicted value of the Josh's score on the final exam?
Accepted Solution
A:
Answer:Predicted final score of Josh [tex]= 62.5[/tex]Step-by-step explanation:The linear regression relationship has been established between the final-exam score and the score on the first testThe relation ship is represented by a linear equation - [tex]y = 10 + 0.75 x\\[/tex]Where [tex]x=[/tex] score on the first test[tex]Y=[/tex] final-exam scoreSubstituting the value of [tex]x[/tex] in above equation we will get -[tex]Y = 10 + 0.75 * 70\\Y = 10 + 52.5\\Y = 62.5[/tex]Predicted final score of Josh [tex]= 62.5[/tex]