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1. Statistical Literacy In the least-squares line y = 5 - 2x, what is the value of the slope? When x changes by 1 unit, by how much does y change?

1. Statistical Literacy In the least-squares line y = 5 - 2x, what is the value of the slope? When x changes by 1 unit, by how much does y change?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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SECTION 4.2 PROBLEMS 1. | Statistical Literacy In the least-squares line y = 5 - 2x, what is the value of the slope? When x changes by 1 unit, by how much does > change? 2. Statistical Literacy In the least squares line ŷ = 5 + 3x, what is the mar- ginal change in ŷ for each unit change in x? 3. Critical Thinking When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions? 4. Critical Thinking If two variables have a negative linear correlation, is the slope of the least-squares line positive or negative? 5. Critical Thinking: Interpreting Computer Printouts We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least- squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from Climatology Report No. 77-3 of the Department
Transcribed Image Text:SECTION 4.2 PROBLEMS 1. | Statistical Literacy In the least-squares line y = 5 - 2x, what is the value of the slope? When x changes by 1 unit, by how much does > change? 2. Statistical Literacy In the least squares line ŷ = 5 + 3x, what is the mar- ginal change in ŷ for each unit change in x? 3. Critical Thinking When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions? 4. Critical Thinking If two variables have a negative linear correlation, is the slope of the least-squares line positive or negative? 5. Critical Thinking: Interpreting Computer Printouts We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least- squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from Climatology Report No. 77-3 of the Department
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