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3 [4 points]: A study was run to study the effectiveness of glucose oxidase sticks to measure blood glucose levels at home. The study involved
3 [4 points]: A study was run to study the effectiveness of glucose oxidase sticks to measure blood glucose levels at home. The study involved 40 diabetic subjects. Let y be the subject's blood glucose level as measured in a laboratory test and let a be the blood glucose level as measured by the subject using a glucose oxidase stick. From the data for these diabetic subjects, we compute the correlation between the two variables: r = 0.965. (a) Here is scatter plot of y against r. Describe the association between the two variables. (Discuss shape, direction and intensity). 10 15 I (b) We computed a few sums. 40 40 Z(x - 7)? = 915.335, _(3: - 7)? = 817.7838 1= 1 40 (m - )(y: - 7) = 835.2375, 40 Ly: =303.5, and I = 295. Find the least squares line to describe the subject's blood glucose level as measured in a laboratory test as a linear function of the blood glucose level as measured by the subject using a glucose oxidase stick. (c) Use your regression line from part (b), to predict the subject's blood glucose level as measured in a laboratory test when the blood glucose level as measured by the subject using a glucose oxidase stick is 2.5
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