Given the following least-squares regression equation: ŷ = -13.586+4.340x where x represents the age of an elementary school student and y represents the score on a standardized test. (a) Interpret the value of the slope in this equation in the context of this data. (b) Give the y-intercept, and explain why it does not make sense in this situation. (c) Use the regression equation to predict the score on this standardized test for a student who is 8 years old. (d) Use the regression equation to predict the age of a student who scores a 35 on the standardized test. The least-squares regression line is ŷ = -13.586 + 4.340x, where x represents the age of an elementary school student and y represents the score on a standardized test. 30 20 10 12 Score on Standardized Test
Given the following least-squares regression equation: ŷ = -13.586+4.340x where x represents the age of an elementary school student and y represents the score on a standardized test. (a) Interpret the value of the slope in this equation in the context of this data. (b) Give the y-intercept, and explain why it does not make sense in this situation. (c) Use the regression equation to predict the score on this standardized test for a student who is 8 years old. (d) Use the regression equation to predict the age of a student who scores a 35 on the standardized test. The least-squares regression line is ŷ = -13.586 + 4.340x, where x represents the age of an elementary school student and y represents the score on a standardized test. 30 20 10 12 Score on Standardized Test
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Transcribed Image Text:Given the following least-squares regression equation:
ý = -13.586+4.340x
where x represents the age of an elementary school student and y represents the score on a
standardized test.
(a) Interpret the value of the slope in this equation in the context of this data.
(b) Give the y-intercept, and explain why it does not make sense in this situation.
(c) Use the regression equation to predict the score on this standardized test for a student
who is 8 years old.
(d) Use the regression equation to predict the age of a student who scores a 35 on the
standardized test.
The least-squares regression line is ŷ = -13.586 + 4.340x,
where x represents the age of an elementary school student and
y represents the score on a standardized test.
30
10
10
12
Score on Standardized Test
4.
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