Fill out the table below: $x$ $y$ $xy$ $x^2$ 1 2 10 20 4 2 2 13 26 4 3 3 14 42 9 4 7 19 133 49 5 7 21 105 25 SUM 77 326 91 The regression equation is: $y = 1.78x + 8.64$
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In an experiment, the input X and the output Y results together with the ΑX, ΑY, ΑXY, ΑX² and ΑY² are shown as below. Find the equation of the regression line. X Y XY X^2 Y^2 10 25 250 100 625 30 94 2820 900 8836 40 128 5120 1600 16384 70 190 13300 4900 36100 Σ 150 437 21490 7500 61945 A. y = 2.7213 + 7.2 B. y = 2.7933 + 3.6 C. y = 2.9373 - 0.9 D. None of the above
Sri K.
The independent variable is X, and the dependent variable is Y. In order to compute the regression coefficients, the following table needs to be used: X Y X · Y X² Y² 130.96 95 12441.2 17150.5216 9025 163.78 47 7697.66 26823.8884 2209 163.78 63 10318.14 26823.8884 3969 199.58 90 17962.2 39832.1764 8100 91.82 95 8722.9 8430.9124 9025 205.67 80 16453.6 42300.1489 6400 179.6 77 13829.2 32256.16 5929 181.38 103 18682.14 32898.7044 10609 150.19 66 9912.54 22557.0361 4356 179.6 82 14727.2 32256.16 6724 173.78 91 15813.98 30199.4884 8281 199.58 77 15367.66 39832.1764 5929 71.84 82 5890.88 5160.9856 6724 130.96 91 11917.36 17150.5216 8281 199.58 67 13371.86 39832.1764 4489 140.63 100 14063 19776.7969 10000 104.3 58 6049.4 10878.49 3364 199.58 58 11575.64 39832.1764 3364 142.8 78 11138.4 20391.84 6084 100.31 78 7824.18 10062.0961 6084 Sum = 3109.72 1578 243759.14 514446.3444 128946
Madhur L.
Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical software. Enter your answer in the form y = mx + b, with m and b both rounded to two decimal places. x | y 1 | 2.1 2 | 4.11 3 | 5.9 4 | 6.76 5 | 9.75 6 | 11.45 Provide your answer below: y = [ ]x + [ ]
Supreeta N.
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