Find a function that best fits the following points Find a function in the form of w= 20 + 21 * + z2 e² that%3Dbest fits the following points:(-1, 2), (1, -;), (3, –4), (0, 1)

Answered: Image /qna-images/answer/f4242062-1dd8-4995-ab10-9a8fbac3ce67.jpgHere in the R-code fit1 is for linear relationship and fit2 is for quadratic function. R-code: y=c(2,-1/2,-4,1)x=c(-1,1,3,0)fit1=lm(y~x)fit1fit2=lm(y~poly(x,2,raw=TRUE))fit2summary(fit1)summary(fit2) Output: Call: lm(formula = y ~ x) Coefficients: (Intercept) x 0.7714 -1.5286 Call: lm(formula = y ~ poly(x, 2, raw = TRUE)) Coefficients: (Intercept) poly(x, 2, raw = TRUE)1 poly(x, 2, raw = TRUE)2 0.9273 -1.2364 -0.1364 Call: lm(formula = y ~ x) Residuals: 1 2 3 4 -0.3000 0.2571 -0.1857 0.2286 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.7714 0.1954 3.949 0.05855 . x -1.5286 0.1178 -12.976 0.00589 ** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.3485 on 2 degrees of freedom Multiple R-squared: 0.9883, Adjusted R-squared: 0.9824 F-statistic: 168.4 on 1 and 2 DF, p-value: 0.005887 Call: lm(formula = y ~ poly(x, 2, raw = TRUE)) Residuals: 1 2 3 4 -0.027273 -0.054545 0.009091 0.072727 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.92727 0.06166 15.039 0.0423 * poly(x, 2, raw = TRUE)1 -1.23636 0.06603 -18.725 0.0340 * poly(x, 2, raw = TRUE)2 -0.13636 0.02689 -5.071 0.1240 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.09535 on 1 degrees of freedom Multiple R-squared: 0.9996, Adjusted R-squared: 0.9987 F-statistic: 1137 on 2 and 1 DF, p-value: 0.02096