GATE CE 2022 Set 1 — Question 49
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Engineering Mathematics → Statistics & Regression → Linear Regression
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Question
A set of observations of independent variable () and the corresponding dependent variable () is given below.
Based on the data, the coefficient of the linear regression modelis estimated as 6.1.The coefficient is ______________ . (round off to one decimal place)
| 5 | 2 | 4 | 3 | |
|---|---|---|---|---|
| 16 | 10 | 13 | 12 |
Correct answer
1.9 to 1.9
Solution
In a linear regression model , the line of best fit passes through the mean of the data points .
First, calculate the mean of and :Substitute the given value of and the means into the regression equation:
First, calculate the mean of and :Substitute the given value of and the means into the regression equation:
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