Question

A biologist is studying the levels of heavy metal contaminants among a population of the South Nakaratuan Chubby Bat. The biologist is interested in constructing a simple linear regression model to investigate the relationship between weight of an animal and the level of heavy metal contamination. In the proposed regression model, the level of contaminant is the response variable and weight is the explanatory variable. The contaminant level is measured in parts per billion (ppb) and weight in grams. A random sample of 20 individuals is selected and measurements are taken. Contaminant study in South Nakaratuan Chubby Bat Contaminant level (ppb) Weight (g) 109 147 118 146 112 142 105 133 62 108 78 122 78 115 93 140 80 119 49 102 87 112 96 129 127 150 56 100 79 106 88 124 85 123 100 117 98 140 171 105 Plotting the data, the researcher notices an obvious outlier. They decide to do the regression analysis with and without the outlier and compare the results. Calculate the slope (b1) and intercept (b0) of the simple regression equation using the data provided. Give your answers to 2 decimal places. a) Slope = b1 = b) Intercept = b0 = Find the proportion of variation in the values of contaminant level that is explained by the regression model. Give your answer as a decimal to 2 decimal places. c) R2 = Repeat this process omitting the outlier: d) Slope = b1 = e) Intercept = b0 = Find the proportion of variation in the values of contaminant level that is explained by the regression model. Give your answer as a decimal to 2 decimal places. f) R2 =

A biologist is studying the levels of heavy metal contaminants among a population of the South Nakaratuan Chubby Bat. The biologist is interested in constructing a simple linear regression model to investigate the relationship between weight of an animal and the level of heavy metal contamination. In the proposed regression model, the level of contaminant is the response variable and weight is the explanatory variable. The contaminant level is measured in parts per billion (ppb) and weight in grams.

A random sample of 20 individuals is selected and measurements are taken.

Contaminant study in South Nakaratuan Chubby Bat
Contaminant level (ppb) Weight (g)
109 147
118 146
112 142
105 133
62 108
78 122
78 115
93 140
80 119
49 102
87 112
96 129
127 150
56 100
79 106
88 124
85 123
100 117
98 140
171 105

Plotting the data, the researcher notices an obvious outlier. They decide to do the regression analysis with and without the outlier and compare the results.

Calculate the slope (b1) and intercept (b0) of the simple regression equation using the data provided. Give your answers to 2 decimal places.

a) Slope = b1 =
b) Intercept = b0 =

Find the proportion of variation in the values of contaminant level that is explained by the regression model. Give your answer as a decimal to 2 decimal places.

c) R2 =

Repeat this process omitting the outlier:

d) Slope = b1 =
e) Intercept = b0 =

Find the proportion of variation in the values of contaminant level that is explained by the regression model. Give your answer as a decimal to 2 decimal places.

f) R2 =

Added by Lauren M.

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