1. Let r and Y equal the ACT scores in social science and natural science, respe
ID: 3210154 • Letter: 1
Question
1. Let r and Y equal the ACT scores in social science and natural science, respectively, for a student who is applying for admission to a small liberal arts college. A sample of n15 such studests yielded the following data: 30 27 26 32 23 25 17 23 16 22 23 24 20 30 21 28 23 32 17 18 24 3 26 31 18 18 30 26 Find point estimates for , and 2 Calculate the fitted least squares regression line for these data Find residuals and make a residual plot. Based on the residual plot, is the least squares regression line adequate for the dataset? Explain your answerExplanation / Answer
b) Point estimates
Alpha = 14.658 and Beta = 0.506
The graph shows that the line is not a proper fit as residuals are more. Points are highly deviated form the line.
Also there seems to be outliers.
x y x^2 y^2 xy 32 28 1024 784 896 23 25 529 625 575 23 24 529 576 552 23 32 529 1024 736 26 31 676 961 806 30 27 900 729 810 17 23 289 529 391 20 30 400 900 600 17 18 289 324 306 18 18 324 324 324 26 32 676 1024 832 16 22 256 484 352 21 28 441 784 588 24 31 576 961 744 30 26 900 676 780 Total 346 395 8338 10705 9292 Mean 23.06667 26.33333 555.8667 713.6667 619.4667 Var 23.79556 20.22222 12.04444 Regression line is y = 14.658+0.506xRelated Questions
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