Question

Score: 0 of 6 pts 14 of 15 (13 complete) HW Score: 80.17%, 80.17 of 100 pts 10.2.11 Assigned Media 13 Question Help Using the pairs of values for all 10 points, find the equation of the regression line b. After removing the point with coordinates (1,4), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b) a. What is the equation of the regression line for all 10 points? y= + * (Round to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer Check Antwer 2 parts remaining ce to search

a)
b)
c)

Answer 1

y1 = C(4,7,8,9,7,8,9,7,8,9) x1 = C(1,3,3,3,4,4,4,5,5,5) y2 = c(7,8,9,7,8,9,7,8,9) x2 = c(3,3,3,4,4,4,5,5,5) ##### model before removing the point (1,4) model1 = 1m (y1-x1) summary(modeli) ## ## Call: ## lm(formula = y1 ~ X1) ## ## Residuals: ## Min 1Q Median 30 Max ## -1.59574 -0.77128 0.05319 0.80319 1.93617 ## ## Coefficients: Estimate Std. Error t value Pr(>It) ## (Intercept) 4.7660 1.2742 3.740 0.0057 ** ## x1 0.7660 0.3279 2.336 0.0477 ## --- ## Signif. codes: ****' 0.001 '**' 0.01 '*' 0.05 '.' 0.1''1 ## ## Residual standard error: 1.231 on 8 degrees of freedom ## Multiple R-squared: 0.4055, Adjusted R-squared: 0.3312 ## F-statistic: 5.457 on 1 and 8 DF, p-value: 0.04771 round (model1$coefficients, 3) ## (Intercept) ## 4.766 x1 0.766

model2 = Im(y2-x2) summary (model2) ##### model after removing the point (1,4) ## ## Call: ## lm(formula = y2 ~ X2) ## ## Residuals: Min 1Q Median - -1 -1 0 # # Max 1 1 ## Coefficients: Estimate Std. Error t value Pr( t) ## (Intercept) 8.000e+00 1.543e+00 5.185 0.00127 ** ## x2 -4.532e-17 3.7802-01 0.000 1.00000 ## --- ## Signif. codes: '***' 0.001 ***' 0.01 '*' 0.05 '.' 0.1'' 1 ## Residual standard error: 0.9258 on 7 degrees of freedom ## Multiple R-squared: 0, Adjusted R-squared: -0.1429 ## F-statistic: 0 on 1 and 7 DF, p-value: 1 round (model2$coefficients,3) ## (Intercept) x2 ##

a) ŷ = 4.766 + 0.766 X

b) ŷ = 8 + 0 X

c) In part (a) value of Y depends on X but in part (b) value of Y does not depend on X

Note: If there is some option given in part c then please comment i will tell the correct option. Without seeing the options i cant tell what to choose