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Please tell if I am doing things correctly.   Question 1: What is the Pearson correlation r? (report to 2 decimal places) The Pearson correlation coefficient rr is given by the square root of R2R2. Since the provided R2R2 (coefficient of determination) is 89.89%, r=0.8989=0.9481r=0.8989 r =0.9481 The slope sign in the regression equation will determine the r sign. Since the slope is negative, rr will also be negative. r=−0.9481r=−0.9481 Answer: r=−0.95r=−0.95 (rounded to two decimal places) What is the strength of this relationship? Given that the absolute value of rr is 0.95, which is very close to 1, this indicates a very strong linear relationship. Answer: Strong Q;If you use the regression equation to make a prediction, what error or residual would you expect? (report to 3 decimal places) The residual standard error SS represents the typical amount by which the data points deviate from the regression line. It gives a measure of the spread of the residuals about the fitted regression line. The given value of SS is 0.345210.

Please tell if I am doing things correctly.   Question 1: What is the Pearson correlation r? (report to 2 decimal places) The Pearson correlation coefficient rr is given by the square root of R2R2. Since the provided R2R2 (coefficient of determination) is 89.89%, r=0.8989=0.9481r=0.8989 r =0.9481 The slope sign in the regression equation will determine the r sign. Since the slope is negative, rr will also be negative. r=−0.9481r=−0.9481 Answer: r=−0.95r=−0.95 (rounded to two decimal places) What is the strength of this relationship? Given that the absolute value of rr is 0.95, which is very close to 1, this indicates a very strong linear relationship. Answer: Strong Q;If you use the regression equation to make a prediction, what error or residual would you expect? (report to 3 decimal places) The residual standard error SS represents the typical amount by which the data points deviate from the regression line. It gives a measure of the spread of the residuals about the fitted regression line. The given value of SS is 0.345210.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Please tell if I am doing things correctly.

 

Question 1: What is the Pearson correlation r? (report to 2 decimal places) The Pearson correlation coefficient rr is given by the square root of R2R2. Since the provided R2R2 (coefficient of determination) is 89.89%, r=0.8989=0.9481r=0.8989

r =0.9481 The slope sign in the regression equation will determine the r sign. Since the slope is negative, rr will also be negative. r=−0.9481r=−0.9481

Answer: r=−0.95r=−0.95 (rounded to two decimal places)

  1. What is the strength of this relationship? Given that the absolute value of rr is 0.95, which is very close to 1, this indicates a very strong linear relationship.

Answer: Strong

Q;If you use the regression equation to make a prediction, what error or residual would you expect? (report to 3 decimal places) The residual standard error SS represents the typical amount by which the data points deviate from the regression line. It gives a measure of the spread of the residuals about the fitted regression line. The given value of SS is 0.345210.

Major concerns for many topics such as global climate change and social security benefits include population growth rates and age of the population. The global median age has increased from just over 20 years in 1970 to just over 30 years in 2022. A report from Age Structure (H. Ritchie and M. Roser) in Our World in Data looked at the relationship between the median age of a country and the natural growth rate of a country. Countries with lower median age tend to have higher population growth rates. See the graph and analysis below: Natural growth rate vs Median age Natural growth rate 3 N -1 -2 10 Regression Equation 20 S R-Sq 0.34521089.89% 30 40 Median age Natural growth rate = 4.2464 -0.10808 Median age Model Summary 50 60
Transcribed Image Text:Major concerns for many topics such as global climate change and social security benefits include population growth rates and age of the population. The global median age has increased from just over 20 years in 1970 to just over 30 years in 2022. A report from Age Structure (H. Ritchie and M. Roser) in Our World in Data looked at the relationship between the median age of a country and the natural growth rate of a country. Countries with lower median age tend to have higher population growth rates. See the graph and analysis below: Natural growth rate vs Median age Natural growth rate 3 N -1 -2 10 Regression Equation 20 S R-Sq 0.34521089.89% 30 40 Median age Natural growth rate = 4.2464 -0.10808 Median age Model Summary 50 60
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