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 47.3 years 49.6 years 51.2 years 52.4 years 53.4 years Question content area bottom Part 1 Choose the correct regression line below. A.y equals 0.750 x minus 47.78 y equals 0.750 x minus 47.78 B.y equals 47.78 x plus 0.750 y equals 47.78 x plus 0.750 C.y equals 47.78 y equals 47.78 D.y equals 0.750 x plus 47.78 y equals 0.750 x plus 47.78 Your answer is correct. Part 2 The coefficient of correlation is 0.985. (Round to three decimal places as needed.) Part 3 The life expectancy in the year 2010 is 55. (Round to one decimal place as needed.)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Regression
Correlation
Prediction using a Regression Line
Formulas
Regression Line: y = mx + b
Correlation Coefficient (r)
Prediction Formula: Use regression line to predict y for a given x
Theorems
Least Squares Method for Regression
Pearson's Correlation Coefficient
Suitable Grade Level
Grades 10-12