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otez555 [7]
3 years ago
5

An instructor computed a least squares regression line to predict final course percentage based on Exam 1. She got the following

formula: yhat=34.28+0.5897x. Suppose that a student who made a grade of 76 on Exam 1 had a final percentage grade of 71.66%. What is the residual?
Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

8.0372

Step-by-step explanation:

given that an instructor computed a least squares regression line to predict final course percentage based on Exam 1.

The regression equation was found out as

y hat = 34.28+0.5897x

When a student makes a grade of 76 one exam 1, and 71.66% in final exam we have

x = 76 and y = 71.66

Substitute to get the estimated y as per regression line as

y hat =34.28+0.5897(76)\\=79.0972

Residual = difference between y hat and y

= |79.0972-71.66|\\= 8.0372

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