France want to find relationship between income and food expenses for it citizen

Question

France want to find relationship between income and food expenses for it citizens. Random sample of 5 people selected below: Y is dependent variable for food expenses X is independent variable for income( 50 dollars monthly) Individual( i): 1, 2, 3, 4, 5 Yi. : 112, 128, 119, 48, 158 Xi. A) created a scatterplot, draw a line fits through data, and find slope and intercept B) find population regression model and sample regression line C) find Ab0 (beta hat) and Ab1 (beta hat) D) find predicted value AYi (Yi hat) and OLS residuals AUi (Ui hat) E find RA2 and SER F) find predicted expenditure when income is 1800 (Y) and OLS residual (Au) : 10, 16.2, 18.4, 8, 28

Explanation / Answer

E)

Xi Yi (Xi-Xm) (Yi-Ym) (Xi-Xm)2 (Xi-Xm)(Yi-Ym) Yi_hat ui_hat (Yi-Ym)2 10 112 -6.12 -1 37.4544 6.12 86.44948 25.55052 1 16.2 128 0.08 15 0.0064 1.2 113.3471 14.65293 225 18.4 119 2.28 6 5.1984 13.68 122.8914 -3.89137 36 8 48 -8.12 -65 65.9344 527.8 77.77284 -29.7728 4225 28 158 11.88 45 141.1344 534.6 164.5392 -6.53924 2025 TotaI 249.728 1083.4 6512

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