Regression — Important Questions
ICSE · Class 11 · Artificial Intelligence
52 important questions from Regression for ICSE Class 11 Artificial Intelligence, with answers. Part of the ICSE Class 11 Artificial Intelligence syllabus.
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Important Questions from Regression
A regression line is y = mx + c. For the ice cream data, m = 1.5183 and c = 0.3049. What is the predicted y when x = 8 hours of sunshine?
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12.45
Substitute x = 8. First compute 1.5183 × 8 = 12.1464. Then add 0.3049. So y = 12.4513, which rounds to 12.45.
In a regression model, a student records x = 2, 3, 5, 7, 9 and y = 4, 5, 7, 10, 15. What is the value of N used in the least squares method?
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5
N is the number of data values. There are 5 x-values and 5 corresponding y-values, so N = 5.
A simple linear regression model has slope m = 5 and intercept b = 50. If x increases from 3 hours to 4 hours, by how many points does the predicted y change?
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5 points
In simple linear regression, the slope gives the change in y for a one-unit increase in x. Since the slope is 5, increasing x by 1 hour increases y by 5 points.
A regression model for dive depth is described by a straight line where the slope is 2.915 yards per minute. If dive duration increases by 4 minutes, what is the predicted increase in depth?
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11.66 yards
Multiply the slope by the change in time. 2.915 × 4 = 11.66 yards. So the predicted increase in depth is 11.66 yards.
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