Consider the following linear relationship Y = Bo + BiX + E: Y is the adults' weekly number of hours spent watching TV, and X is a person's age beyond 18 years. Number of observations n=25, Sy=-4434, SS»-5512, SS„=6840, E Xx = 475, and EY = 700 a.Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b.Interpret the slope parameter. Is there a meaningful interpretation for the intercept parameter? Explain c. Calculate SSE, R2, and the standard error of the residuals (S). Interpret the R.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 34EQ
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Consider the following linear relationship Y = Bo + BiX + ɛ: Y is the adults' weekly number of
hours spent watching TV, and X is a person's age beyond 18 years.
Number of observations n=25, Sy=-4434, S.„=5512, SS,=6840, E X = 475, and EY = 700
a.Estimate the unknown parameters using the method of OLS and find the least-squares prediction
equation.
b.Interpret the slope parameter. Is there a meaningful interpretation for the intercept parameter? Explain.
c. Calculate SSE, R2, and the standard error of the residuals (S). Interpret the R.
d. Predict the average number of hours spent watching TV for people who are 35 years old (Xp=17).
Construct and interpret a 90% confidence interval for your prediction.
e. Calculate the coefficient of correlation and explain how it is different from R.
Transcribed Image Text:Consider the following linear relationship Y = Bo + BiX + ɛ: Y is the adults' weekly number of hours spent watching TV, and X is a person's age beyond 18 years. Number of observations n=25, Sy=-4434, S.„=5512, SS,=6840, E X = 475, and EY = 700 a.Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b.Interpret the slope parameter. Is there a meaningful interpretation for the intercept parameter? Explain. c. Calculate SSE, R2, and the standard error of the residuals (S). Interpret the R. d. Predict the average number of hours spent watching TV for people who are 35 years old (Xp=17). Construct and interpret a 90% confidence interval for your prediction. e. Calculate the coefficient of correlation and explain how it is different from R.
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