Question
The data in this document gives the number of meals eaten that contain fish (per week) and mercury levels in head hair for 100 fisherman.
The data in this document gives the number of meals eaten that contain fish (per week) and mercury levels in head hair for 100 fisherman.Save the data to a format that can be read into R.Read the data in for analysis.Use R to calculate the quantities and generate the visual summaries requested below.
(1) To get a sense of the data, generate a scatterplot (using an appropriate window, label the axes, and title the graph).Consciously decide which variable should be on the x-axis and which should be on the y-axis.Using the scatterplot, describe the form, direction, and strength of the association between the variables. (4 points)
(2) Calculate the correlation coefficient.What does the correlation tell us? (2 points)
(3) Find the equation of the least squares regression equation and write out the equation.Add the regression line to the scatterplot you generated above. (2 points)
(4) What is the estimate for ?How can we interpret this value?What is the estimate for ?What is the interpretation of this value? For the interpretations, you should be interpreting them in the context of this specific data set. (4 points)
(5) Calculate the ANOVA table AND the table which gives the standard error of .Formally test the hypothesis that = 0 using either the F-test or the t-test at the level. Either way, present your results using the 5-step procedure, as described in the course notes.
Within your conclusion, calculate the R-squared value and interpret this.Also, calculate (using R) and interpret the 90% confidence interval for . (8 points)
Data set for Assignment 3
Number of meals with fish
Total Mercury in mg/g
14
4.484
7
4.789
5
3.856
8
4.888
21
10.849
18
6.457
22
11.222
6
4.908
19
10.116
7
3.567
16
6.092
17
3.799
20
6.781
5
5.995
7
1.717
14
4.615
1
3.362
6
3.928
9
1.833
10
5.668
13
4.7
9
2.272
16
4.812
5
1.342
18
6.123
7
4.622
8
7.805
7
2.643
8
6.111
7
2.476
10
4.317
4
1.789
4
2.484
7
1.757
6
1.239
5
5.311
19
6.103
3
1.984
4
2.697
7
0.692
7
2.404
9
1.503
17
8.231
14
5.321
7
3.81
21
1.765
4
0.408
7
3.901
10
0.48
11
3.826
7
3.451
9
2.32
2
4.086
7
2.272
3
2.564
7
7.998
11
5.081
8
0.366
7
2.477
4
5.288
7
5.676
7
2.296
21
6.11
4
1.502
7
3.71
3
2.752
3
0.987
19
10.14
7
1.616
12
4.65
13
7.241
18
9.36
7
3.753
13
4.008
21
5.345
1
2.455
0
0.941
1
2.478
1
3.212
10
5.214
0
1.12
0
0.745
2
4.645
2
4.981
1
2.812
0
0.846
2
5.142
0
1.111
0
1.094
2
2.978
2
3.942
0
1.131
0
0.979
0
0.844
1
2.411
1
2.497
10
3.764
20
8.178
19
7.664
22
9.716
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Dynamical Systems With Applications Using MATLAB®
Authors: Stephen Lynch
2nd Edition
3319068202, 9783319068206
