Question: Is the log of the amount of beach pollution a useful predictor of the variable Chloro in a linear model analysis? Use the table, Excel data, and any other information provided perform an appropriate hypothesis test to address the research question and answer the following questions.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 A Chloro B Beach Lit 2.72 5.29528 4.56 6.83259 2.53 5.94107 1.09 5.14916 1.15 5.18446 2.97 4.94904 2.01 5.51637 3.81 5.12901 2.21 5.63004 2.86 5.58674 2.97 5.95053 3.68 5.27871 3.06 5.87064 6.23 5.86961 2.89 5.15103 3.51 6.02799 2.94 6.30812 1.06 5.39914 5.32 6.65557 1.27 5.70633 3.57 5.23757 1.02 5.8437 1.37 5.67117 2.52 6.71961 2.7 6.10109 4.3 6.22355 1.43 5.79356 5.25 5.01639 2.05 5.8256 2.73 5.13106 3.45 5.36263 2.87 5.44903 1.16 5.26698 2.87 6.12941 4 5.83559 3.03 6.18677 3.46 5.85699 2.93 5.57313 2.9 6.00535 4.21 5.77485 2.61 5.7174 5.34 6.51661 3.13 5.38751 3.43 5.07902 5.43 6.32403 2.72 6.54313 5.82 5.84302 3.52 5.38115 E
(3 marks) List the model assumptions and briefly describe how these are met. 1 A▾ BU I Ff !!! III (1 mark) Write the equation of the Chloro least squares regression model (3dp). O
(2 marks) The interpretation of the slope of the regression line is that... 7 A▾ B U I P▾ ▼ Ff ▼ E III 3 $'$ (b) (1 mark) The p-value for the test statistic for the slope is equal to (3dp) (a) (1 mark) The value of the test statistic for the null hypothesis testing that the slope is equal to zero, is equal to (2dp) O ◆ (c) (2 marks) The decision for the hypothesis test of the slope is to since (d) (1 mark) Based on the outcome of the hypothesis test for the slope of the regression line, at 0.05 level of significance, Beach_Litter ◆ ◆
(5 marks) The calculated 95% confidence interval for the slope of the regression model has a lower bound of (3dp) ◆ with the answer in and an upper bound of (3dp) . This confidence interval is Question 18(c), because (2 marks) Write down the coefficient of determination (2dp) and explain its meaning. Į the value of A BU I Ff
(2 marks) For the point (x,y)=(5.184,1.15), the predicted chloro measure equals (2dp) equals (2dp) (4 marks) The largest residual of the regression model, as absolute value, equals (2dp) the observed Chloro value equals (1dp) for a Beach_Litter value of (1dp) Chloro value equals (2dp) and the residual . For this residual, while the predicted
As previously stated, according to the United Nations the sustainability of oceans is under severe threat from pollution, and its effect on marine ecosystems via the process of eutrophication. Eutrophication causes excessive growth of plants and algae, affecting light and oxygen levels in oceans which further harms marine ecosystems. Consider the relationship between a country's Eutrophication measure (variable Chloro Y) and the log of the amount of beach pollution in that country (variable Beach_Lit X) from the data found in the QuestionD.xlsx file. Research As previously stated, according to the United Nations the sustainability of oceans is under severe threat from pollution
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