Might we be able to predict life expectancies from birthrates?Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both x, the number of births perone thousand people in the population, and y, the female life expectancy (in years), are given. Also shown are the scatter plot for the data and the least-squaresregression line. The equation for this line is y=82.25 -0.48x.^Birthrate, x(number of births per 1000 people)35.544.929.719.913.727.051.915.050.949.739.624.4Send data to calculatorSend data to ExcelFemale life expectancy, y(in years)67.957.961.771.472.573.555.476.558.260.664.474.4Based on the sample data and the regression line, complete the following.Female life expectancy(in years)8580+75+70-65+60-55+50xXx++10 15 20 25(b) According to the regression equation, for an increase of one (birth per 1000 people) in birthrate, there is acorresponding decrease of how many years in female life expectancy?0x30(a) For these data, birthrates that are less than the mean of the birthrates tend to be paired with female life expectanciesthat are (Choose one) ▼ the mean of the female life expectancies.*3+XXBirthrate(number of births per 1000 people)40 45 50 55 60XŚEsp

Given the regression equation : y^=82.25-0.48x

Answered: Based on the sample data and the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Similar questions

If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Does Table 1 represent a linear function? If so, finda linear equation that models the data.
The data regarding the production of wheat in tons (X) and the price of the kilo of flour in Ghana cedis (Y) Takoradi some years ago were: a. Fit the regression line for the day using the method of least squares
The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) (a) Find the equation of the least-squares regression line for the data. (Where × is the independent variable.) Round constants to the nearest hundredth. y= ? (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. ? cm
The calories and sugar content per serving size of ten brands of breakfast cereal are fitted with a least squares regression line with computer outputs: (see picture) 1. What are the predicted calories for a brand with 10 g sugar per serving? 2. What were the actual calories for the brand with 10 g sugar per serving?
Might we be able to predict life expectancies from birthrates?Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both x, the number of births per one thousand people in the population, and y, the female life expectancy (in years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation for this line is Ŷ=82.24-0.48x (The 2nd picture contains the rest of the data as it would not fit in the first pic and it includes the question as well.) .
A year-long fitness center study sought to determine if there is a relationship between the amount of muscle mass gained y(kilograms) and the weekly time spent working out under the guidance of a trainer x(minutes). The resulting least-squares regression line for the study is y=2.04 + 0.12x A) predictions using this equation will be fairly good since about 95% of the variation in muscle mass can be explained by the linear relationship with time spent working out. B)Predictions using this equation will be faily good since about 90.25% of the variation in muscle mass can be explained by the linear relationship with time spent working out C)Predictions using this equation will be fairly poor since only about 95% of the variation in muscle mass can be explained by the linear relationship with time spent working out D) Predictions using this equation will be fairly poor since only about 90.25% of the variation in muscle mass can be explained by the linear relationship with time spent…
For major league baseball teams, do higher player payrolls mean more gate money? Here are data for each of the American League teams in the year 2001 . The variable x denotes the player payroll (in millions of dollars) for the year 2001 , and the variable y denotes the mean attendance (in thousands of fans) for the 81 home games that year. The data are plotted in the Figure 1 scatter plot, as is the least-squares regression line. The equation for this line is =y+13.820.23x . Player payroll, x(in $1,000,000s) Mean attendance, y(in thousands) Anaheim 46.6 24.69 Baltimore 73.4 38.15 Boston 109.6 32.47 Chicago White Sox 62.4 21.85 Cleveland 92.0 39.26 Detroit 49.8 23.70 Kansas City 35.6 19.01 Minnesota 24.4 21.98 New York Yankees 109.8 40.25 Oakland 33.8 26.54 Seattle 75.7 43.33 Tampa Bay 55.0 16.05 Texas 88.5 34.94 Toronto 75.8 23.70 y 5 10 15 20 25 30 35 40 45 x 20 40 60 80 100 120 140 0…

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