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