7. Consider once again the data describing the relationship between exercise and glucose levels described in problem 4. Use the data in problem 4 to answer the following questions. a. Find and interpret the correlation coefficient. b. Find the coefficient of determination. anibnstesbnU TuoY oer c. Interpret the coefficient of determination using the "variance" interpretation. d. Interpret the coefficient of determination using the "error" interpretation.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Part d
7. Consider once again the data describing the relationship between exercise and glucose levels
described in problem 4. Use the data in problem 4 to answer the following questions.
a. Find and interpret the correlation coefficient.
b. Find the coefficient of determination.
c. Interpret the coefficient of determination using the "variance" interpretation.
CHECK AOL uget u
d. Interpret the coefficient of determination using the "error" interpretation.
Transcribed Image Text:7. Consider once again the data describing the relationship between exercise and glucose levels described in problem 4. Use the data in problem 4 to answer the following questions. a. Find and interpret the correlation coefficient. b. Find the coefficient of determination. c. Interpret the coefficient of determination using the "variance" interpretation. CHECK AOL uget u d. Interpret the coefficient of determination using the "error" interpretation.
4. A question of interest is whether increasing the amount of exercise will decrease blood glucose
levels for pre-diabetic adults and if so, in what fashion. A random sample of twenty pre-diabetic
adults was obtained. The data below gives the amount of time spent exercising per week (in hours)
and the person's blood glucose level (measured in mg/dL).
Exercise Time
Glucose Levels
Exercise Time
Glucose Level
1.67
155
4.5
105
150
3.75
125
1.5
156
5 1
95
2.3
149
98
2.92
151
100
3.5
129M
4
118
2.08
145
5.5
114
2.5
135
6.5
98
1.25
154
4.5
107
3.75
127
7.5
80
Transcribed Image Text:4. A question of interest is whether increasing the amount of exercise will decrease blood glucose levels for pre-diabetic adults and if so, in what fashion. A random sample of twenty pre-diabetic adults was obtained. The data below gives the amount of time spent exercising per week (in hours) and the person's blood glucose level (measured in mg/dL). Exercise Time Glucose Levels Exercise Time Glucose Level 1.67 155 4.5 105 150 3.75 125 1.5 156 5 1 95 2.3 149 98 2.92 151 100 3.5 129M 4 118 2.08 145 5.5 114 2.5 135 6.5 98 1.25 154 4.5 107 3.75 127 7.5 80
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