"\\def\\arraystretch{1.5}\n \\begin{array}{c:c:c:c:c:c:c:c:c:c:c:}\n x & 19 & 22 & 27 & 30 & 36 & 43 & 47 & 51 & 61 & 64\\\\ \\hline\n y & 1.0 & 1.4 & 1.8 & 2.4 & 3.0 & 3.8 & 4.3 & 4.5 & 5.8 & 6.3 \n\\end{array}"
Linear regression: "y=A+Bx"
"mean: \\bar{x}={\\sum x_i \\over n}=40, \\bar{y}={\\sum y_i \\over n}=3.43""S_{xx}=\\sum(x_i-\\bar{x})^2=\\sum x_i^2-n\\bar{x}^2=2246""S_{yy}=\\sum(y_i-\\bar{y})^2=\\sum y_i^2-n\\bar{y}^2=29.821""S_{xy}=\\sum(x_i-\\bar{x})(y_i-\\bar{y})=\\sum x_iy_i-n\\bar{x}\\bar{y}=258.4"
"r={S_{xy} \\over \\sqrt{S_{xx}}\\sqrt{S_{yy}}}={258.4 \\over \\sqrt{2246}\\sqrt{29.821}}\\approx""\\approx0.99845, strong\\ correlation"
"B={S_{xy} \\over S_{xx}}={258.4 \\over 2246}\\approx0.115049"
"A=\\bar{y}-B\\bar{x}\\approx3.43-0.115049\\cdot 40\\approx-1.171959"
"trend \\ \\ line: y=-1.171959+0.115049x"
How much money will a person save if his monthly income is RM4,500?
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Afk electronics is experimenting with the manufacture of a new type of transistor that is very difficult to mass produce at an acceptable quality level.Every hour a supervisor takes a random sample of 10 transistors produced on the assembly line. From the past records,15 per cent of transistors fail in quality inspection.
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