Question

2. The following table displays 15 data pairs taken from an experiment of the motion of an object. The object started at an initial velocity and accelerated with a constant acceleration. t (sec) d (m) 0.2001.032 0.4001.128 0.6001.288 0.800 1.0001.800 t (sec) [d (m) 1.202.152 1.40 1.60 1.80 2.00 4.200 t (sec 2.20 2.40 2.60 2.80 3.00 4.827 5.608 6.408 7.272 8.200 2.568 3.048 3.592 1.512 (a). On the graph paper, plot the data points of time (t) and position (d) of the object and draw a best-fitting non linear curve through the data points. The shape of the graph would be a non-linear, quadratic equation. (b). After performing a quadratic regression analysis of the data and find a regression equation in the form of actual equation: d c+bt+at

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OriginPro 8.6 32-bit -ClUsersl Gupta)Documents OriginLab185User Files UNTITLED - /Folderl/ - [Graph1] File Edit View Graph Data Analysis Gadgets Tools Format Window Help よ电唱 Ph Default: Arial 10 0.5 Project Explorer 〔1〕 y-Intercept + UNTITLED Equation No Welghting Polynomial Fit of Sheet1 d Weight Residual Sum of Squares Adj. R-Square 0.00178 99997 Value Standard Error 0.01085 0156 0.00474 Intercept 1.00564 0.01085 0.80264 4 Bo Work Normal 114KB 1125 Tab Work Hidden gKB 1 Tab work. Hidden 9KB 1/2S 2 国Gra Graph Mani 19KB 1125 0.0 0.5 1.0 1.5 2.0 2.5 3.0 t (sec) AU: ON Dark Colors & Light Grids 1:Book1]Sheet1 Coldn1:15 1:Graph111 Radian 1:20 PM O Type here to search 1/29/2019 4

i have used origin to plot the graph

and equation of regression is

d = 1.00564 - 0.01085 t + 0.80264 t2

please rate it up thanks :)

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