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{"ops":[{"insert":"The relationship between age (X, in year) and the number of overseas holidays a year (Y) has been studied using simple linear regression sing the following model.\nYi = \uf0620 + \uf0621 Xi + ui\nThe following table shows the data of age and the number of overseas destinations for a random sample of 20 respondents.\nAge (X)\n62\n57\n40\n49\n67\n54\n43\n65\n54\n41\nNo of overseas holiday (Y)\n6\n5\n4\n3\n5\n5\n2\n6\n3\n1\nAge (X)\n44\n48\n55\n60\n59\n63\n69\n40\n38\n52\nNo of overseas holiday (Y)\n3\n2\n4\n5\n4\n5\n4\n2\n1\n3\nThe summary of the data is as follows where SST is the total sum of squares, SSR is the regression sum of squares.\n\uf053Xi = 1060, \uf053Yi = 73, \uf053Xi2 = 57994, \uf053Yi2 = 311, \uf053XiYi = 4097,\nSST = \u03a3(\ud835\udc4c\ud835\udc56\u2212\ud835\udc4c\u0305)2 = 44.55, SSR = \u03a3(\ud835\udc4c\u0302\ud835\udc56\u2212\ud835\udc4c\u0305)2 = 28.65\na) Find the estimated regression line \ud835\udc4c\u0302\ud835\udc56 = b0 + b1 Xi that links the age with the number of overseas holidays in a year.\nb) Test whether coefficient b1 is statistically significant or not. Use 5% significant level.\nc) Interpret the estimated slope coefficient, b1.\nd) Suppose that Ah Huat is 50 years old, predict how many times he has gone overseas for a holiday?\ne) Give one quantitative and one qualitative variable that are expected to affect the number of overseas holiday in a year.\n\n"}]}

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