Math Problem Statement
Consider the following data from a sample of n=7.
x 178 176 174 166 172 172 174 y 58 55 54 47 52 53 55
The y-intercept of the least squares line is -99.2105263157895. Compute the slope of the least squares line and enter the equation of the least squares line below. (As always, if you round, make sure you do so correctly, only round your final answer, and keep at least three decimal places.)
The least squares line is y =
Regardless of what answer you actually got, suppose your regression equation were y= -80 + 0.8x.
For x = 177, the hypothetical line predicts the value of y will be
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Least Squares Method
Formulas
Slope of the least squares line: b1 = (n∑xy - ∑x∑y) / (n∑x² - (∑x)²)
Equation of a straight line: y = b0 + b1x
Theorems
Least Squares Regression
Suitable Grade Level
Undergraduate/High School
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