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Mathematics, 02.04.2021 22:20 espiritu7470

A stonemason wants to look at the relationship between the density of stones she cuts and the depth to which her abrasive water jet cuts them. The data show a linear pattern with the summary statistics shown below: mean standard deviation x=x=x, equals stone density \left( \dfrac{\text{g}}{\text{cm}^3} \right)( cm 3 g ​ )left parenthesis, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction, right parenthesis \bar{x}=2.5 x ˉ =2.5x, with, \bar, on top, equals, 2, point, 5 s_x=0.3s x ​ =0.3s, start subscript, x, end subscript, equals, 0, point, 3 y=y=y, equals cutting depth (\text{mm})(mm)left parenthesis, start text, m, m, end text, right parenthesis \bar{y}=41.7 y ˉ ​ =41.7y, with, \bar, on top, equals, 41, point, 7 s_y=42s y ​ =42s, start subscript, y, end subscript, equals, 42 r=-0.95r=−0.95r, equals, minus, 0, point, 95 Find the equation of the least-squares regression line for predicting the cutting depth from the density of the stone. Round your entries to the nearest hundredth.

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