9) We have a sample of 6 observations on exam scores and hours of study and would like to estimate the following relationship using the least-squares method: Score Bo+ B, hours + e. We expect the score to increase with hours of study. Score Hours 80 90 85 65 50 80 12 14 11 10 8 11 Escore = 450, E hours = 66, E hours.score = 5085, Escore? = 34850, hours² = 746 %3D a. Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b. Calculate SSE, R, standard error of the residuals (s), and standard error of slope coefficient (s Construct and interpret a 90% confidence interval for B. Predict the score of a student who studies 9 hours for the exam, and construct and interpret a 90% confidence interval using the predicted value (prediction interval). c.

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9) We have a sample of 6 observations on exam scores and hours of study and would like to estimate the following
relationship using the least-squares method: Score Bo+ B hours +e, We expect the score to increase with hours of study.
Score
Hours
80 90 85 65 50 80
12 14 11 10 8 11
Escore = 450, hours = 66,E hours. score = 5085, score= 34850, hours=746
Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation.
b. Calculate SSE, R', standard error of the residuals (s), and standard error of slope coefficient (s)
Construct and interpret a 90% confidence interval for B.
Predict the score of a student who studies 9 hours for the exam, and construct and interpret a 90% confidence interval using
the predicted value (prediction interval).
a.
C.
Transcribed Image Text:9) We have a sample of 6 observations on exam scores and hours of study and would like to estimate the following relationship using the least-squares method: Score Bo+ B hours +e, We expect the score to increase with hours of study. Score Hours 80 90 85 65 50 80 12 14 11 10 8 11 Escore = 450, hours = 66,E hours. score = 5085, score= 34850, hours=746 Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b. Calculate SSE, R', standard error of the residuals (s), and standard error of slope coefficient (s) Construct and interpret a 90% confidence interval for B. Predict the score of a student who studies 9 hours for the exam, and construct and interpret a 90% confidence interval using the predicted value (prediction interval). a. C.
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