Answer IN R CODE please. Using the data below, Create a scatterplot of y vs x...

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Statistics

Answer IN R CODE please. Using the data below,
Create a scatterplot of y vs x (show this) andfit it a simple linear regression model using y as the response andplot the regression line (with the data). Show this as well. Testwhether x is a significant predictor and create a 95% CI around theslope coefficient. What does the coefficient of determinationsrepresent?
For x=20, create a CI for E(Y|X=20). Show this.
For x=150, can you use the model to estimate E(Y|X=150).Discuss.
Does the model appear to be linear with respect to x. Explain.Discuss, and if not, provide alternative model and repeat steps1-6.
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, theoutput and any interpretations/conclusions that are necessary.

Answer & Explanation Solved by verified expert

4.1 Ratings (794 Votes)

now code we have to do regression analysis here y is dependent andx is independent yx Create a scatterplot of y vs x show this and fit it a simple linear regression model using y as the response and plot the regression line with the data scatter plot plotxy main scatter plot fit regression model reg lmyxreg estimated regression equation yhat 42037 2897xsummaryreg Q Test whether x is a significant predictor See Answer

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	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