There are 66 random sample. The first column represents Y and second column repr
ID: 3058915 • Letter: T
Question
There are 66 random sample. The first column represents Y and second column represents X. Use R code sovle questions.
1. Find the estimated regression function.
2. Find a 95% confidence interval for 1. Interpret whether there is significant linear relationship between X and Y?
3. Estimate Y when X is equal to the predictor value, which has the smallest absolute residual. Calculate a 97% interval for Y.
4. Find ANOVA table. Interpret how well does the estimated regression line fit the data.
8487 74
8179 82
8362 81
8220 81
6246 87
9100 66
6561 68
5873 81
7993 74
7932 82
6491 75
6816 82
9639 78
4595 84
5037 82
4427 79
6226 78
10768 73
8335 77
12311 65
10104 77
10503 76
7562 79
8593 79
7133 78
10205 84
14016 78
5959 81
3764 89
4297 85
7562 77
4844 74
5777 80
3599 84
3219 88
11187 75
2105 77
6650 78
11371 61
4517 91
7348 83
5696 77
4995 85
9248 70
6860 88
9776 80
4280 82
11154 82
3442 82
9674 70
7309 64
4530 79
4017 83
7122 77
5689 76
6109 80
3343 84
5029 82
4330 81
5425 74
8769 81
6880 76
6538 78
6521 78
9423 79
9697 83
Explanation / Answer
There are 66 random sample. The first column represents Y and second column represents X. Use R code sovle questions.
1. Find the estimated regression function.
2. Find a 95% confidence interval for 1. Interpret whether there is significant linear relationship between X and Y?
3. Estimate Y when X is equal to the predictor value, which has the smallest absolute residual. Calculate a 97% interval for Y.
4. Find ANOVA table. Interpret how well does the estimated regression line fit the data.
8487 74
8179 82
8362 81
8220 81
6246 87
9100 66
6561 68
5873 81
7993 74
7932 82
6491 75
6816 82
9639 78
4595 84
5037 82
4427 79
6226 78
10768 73
8335 77
12311 65
10104 77
10503 76
7562 79
8593 79
7133 78
10205 84
14016 78
5959 81
3764 89
4297 85
7562 77
4844 74
5777 80
3599 84
3219 88
11187 75
2105 77
6650 78
11371 61
4517 91
7348 83
5696 77
4995 85
9248 70
6860 88
9776 80
4280 82
11154 82
3442 82
9674 70
7309 64
4530 79
4017 83
7122 77
5689 76
6109 80
3343 84
5029 82
4330 81
5425 74
8769 81
6880 76
6538 78
6521 78
9423 79
9697 83
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