Question

In: Statistics and Probability

Answer IN R CODE to get the following. Using the data below, Create a scatterplot of...

Answer IN R CODE to get the following. Using the data below,

  1. Create a scatterplot of y vs x
  2. Fit a simple linear regression model using y as the response and plot the regression line (with the data)
  3. Test whether x is a significant predictor and create a 95% CI around the slope coefficient.
  4. Report and interpret the coefficient of determination.
  5. For x=20, create a CI for E(Y|X=20).
  6. For x=150, can you use the model to estimate E(Y|X=150)? Discuss.
  7. Does the model appear to be linear with respect to x? Discuss, and if not, provide alternative model and repeat steps 1-6.

y

x

1

311.8481

30.77326

2

440.9428

32.40036

3

41.6744

13.89724

4

417.7435

30.82836

5

177.3642

21.17247

6

639.0727

41.70052

7

179.9235

20.52949

8

19.64963

16.78782

9

1030.218

47.05621

10

211.6078

24.73312

11

468.797

33.30568

12

281.9641

27.20706

13

360.4149

28.98507

14

626.3254

33.98696

15

692.872

40.61913

16

840.8116

44.14024

17

71.51774

14.71966

18

97.75643

18.69047

19

251.0697

26.53534

20

81.51288

19.51529

21

270.3445

28.00065

22

1221.873

49.81578

23

110.3152

20.3347

24

595.4412

38.29436

25

126.2188

13.26268

26

11.15999

16.73084

27

230.5542

24.64804

28

77.3025

15.99319

29

1117.463

48.8532

30

122.5684

18.10108

31

932.665

44.75007

32

911.0599

44.23208

33

255.6625

24.33537

34

810.0097

41.18667

35

210.4745

20.06741

36

9.884425

11.10681

37

75.98362

11.67823

38

153.6595

20.20392

39

578.7254

38.05732

40

93.28379

12.89079

41

378.1102

27.82776

42

203.9408

25.8318

43

837.9018

43.87759

44

44.45671

11.49288

45

1145.79

48.94833

46

1073.485

47.3091

47

431.1394

30.53461

48

343.5504

28.65658

49

810.0665

41.25828

Please provide all relevant work in R code. The commands, the output and any interpretations/conclusions that are necessary.

Solutions

Expert Solution

R code along with output and explaination is attached herewith.

orchestra answered 1 year ago
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