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# HW2 - University of California Irvine Department of...

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University of California Irvine Department of Economics ECON 122A Econometrics I Prof. Safarzadeh HW #2 Student Name:_____________________ Solve the following problems: 1- Ten observations on the students’ number of hours of study a day and their average grade for the quarter has resulted in the following data: Hours of Study: 3 8 5 2 3 5 7 9 1 7 Grade: 2 4 3 3 2 4 3 3 2 4 1- Do a scatter diagram of the relationship between the two variables. 2- Find the covariance between the two variables. What does it imply? 3- Find the correlation coefficient between the two variables. What does it imply? 4- Run a regression between the two variables and do a comprehensive analysis of the relationship between the two variables. 5- What is the effect of an hour of increase in study time on the students’ grade? 6- Do a forecasting of average grade for a student who studies only 4 hours a day. 2- In a study of 20 observations for the production technology of XYZ corporation the summary statistics for the relation between production (Q) and labor input (L) are given as: Σ L = 320 Σ Q = 1360 Σ L 2 = 103680 Σ Q 2 = 1836000 Σ LQ = 436000 1- Do an OLS estimate of the production function. 2- Find the relevant statistics of the regression and the regression coefficients.

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HW2 - University of California Irvine Department of...

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