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Calculate a0 and a1 for the least-squares fit of y = a0 + a1 x1.5 to the following data.x-position (cm)y-height (cm)1.32.33.67.15.811.017.438.0Following the guide in subunit 6.3 of the course, minimization of square deviation for the model y = a0 + a1 x1.5 may be written:a0 + Sxm a1 = SyandSxm a0 + Sx2m a1 = Sxmywhere n is the number of observations, m is the exponent 1.5 in the model, Sxm = sum over n of x1.5, Sy = sum over n of y, Sx2m = sum over n of x3, and Sxmy = sum over n of of x1.5y. Tabulate the sums and solve the above equations for a0 and a1.Which of the following most closely matches the results of your calculations for a0 and a1, respectively?

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Calculate a<sub>0</sub> and a<sub>1</sub> for the least-squares fit of y = a<sub>0</sub> + a<sub>1</sub> x<sup>1.5</sup> to the following data.<br/><br/><table border='1' align='middle''font-family:'lucida grande', tahoma, verdana, arial, sans-serif;font-size:11px;font-style:inherit;font-variant:inherit;border-spacing:0px;border-collapse:collapse;font-weight:inherit;direction:ltr;text-align:left;color:rgb(51, 51, 51);width:297px;height:144px;'><tbody><tr><td width='50%' valign='top' >x-position (cm)<br/></td><td width='50%' valign='top' >y-height (cm)<br/></td></tr><tr><td width='50%' valign='top' >1.3<br/></td><td width='50%' valign='top' >2.3<br/></td></tr><tr><td width='50%' valign='top' >3.6<br/></td><td width='50%' valign='top' >7.1<br/></td></tr><tr><td width='50%' valign='top' >5.8<br/></td><td width='50%' valign='top' >11.0<br/></td></tr><tr><td width='50%' valign='top' >17.4<br/></td><td width='50%' valign='top' >38.0<br/></td></tr></tbody></table><br/><br/>Following the guide in subunit 6.3 of the course, minimization of square deviation for the model y = a<sub>0</sub> + a<sub>1</sub> x<sup>1.5</sup> may be written:<br/><sub><br/></sub>a<sub>0</sub> + Sxm a<sub>1</sub> = Sy<br/><br/>and<br/><br/>Sxm a<sub>0</sub> + Sx2m a<sub>1</sub> = Sxmy<br/><br/>where n is the number of observations, m is the exponent 1.5 in the model, Sxm = sum over n of x<sup>1.5</sup>, Sy = sum over n of y, Sx2m = sum over n of x<sup>3</sup>, and Sxmy = sum over n of of x<sup>1.5</sup>y. <br/><br/>Tabulate the sums and solve the above equations for a<sub>0</sub> and a<sub>1</sub>.<br/><br/>Which of the following most closely matches the results of your calculations for a<sub>0</sub> and a<sub>1</sub>, respectively?






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