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The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelors degree in business administration. GPA 2.6 3.4 3.6 3.1 3.4 3.1 Monthly Salary ($) 3,500 3,800 4,200 3,800 4,100 2,500 The estimated regression equation for these data is y 914.5 854.8x and MSE 360,484. a. Develop a point estimate of the starting salary for a student with a GPA of 3.0 (to 1 decimal). b. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA (to 2 decimals) C. Develop a 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0 (to 2 decimals)

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Answer #1

(a) \hat{y} = 914.5 + (854.8 * 3.0) = $3478.9.

(b) 95% confidence interval = 2677.52, 4280.54.

(c) 95% prediction interval = 1629.37, 5328.70.

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