Math Problem Statement
Fit a regression line to the data shown in the chart, and find the coefficient of correlation for the line. Use the regression line to predict life expectancy in the year 2010, where x is the number of decades after 1900. year, x 0 (1900) 2 (1920) 4 (1940) 6 (1960) 8 (1980) life expectancy, y 47.8 years 50.1 years 51.7 years 52.9 years 53.9 years Question content area bottom Part 1 Choose the correct regression line below. A.y equals 0.750 x plus 48.28 y equals 0.750 x plus 48.28 Your answer is correct.B.y equals 48.28 x plus 0.750 y equals 48.28 x plus 0.750 C.y equals 0.750 x minus 48.28 y equals 0.750 x minus 48.28 D.y equals 48.28 y equals 48.28 Part 2 The coefficient of correlation is enter your response here. (Round to three decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Correlation Coefficient
Prediction
Formulas
Linear regression equation: y = mx + b
Coefficient of correlation: r
Prediction formula using regression line
Theorems
Least Squares Method
Suitable Grade Level
Grades 10-12
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