What type of relationship does the following regression line represent?O O Oa. No relationshipb. A curvilinear relationshipc. A positive relationshipd. A negative relationship

The question is about correlation and regression.Introduction :1 ) Correlation : It measures the…

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different noise levels. Intelligibility, the MRT score, is measured as the percent of a spoken sentence that the listener can decipher at a cesl4ain noise level in decibels (dB). The table shows the results of one such test. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Find the correlation coefficient. Is a linear model appropriate? (d) Use the linear model in put (b) to estimate the intelligibility of a sentence at a 94-dB noise level.
Sports The ordered pairs below give the winning times (in seconds) of the women’s 100-meter freestyle in the Olympics from 1984 through 2012. 1984,55.92 2000,53.83 1988,54.93 2004,53.84 1992,54.64 2008,53.12 1996,54.50 2012,53.00 (a) Sketch a scatter plot of the data. Let y represent the winning time (in seconds) and let t=84 represent 1984. (b) Sketch the line that you think best approximates the data and find an equation of the line. (c) Use the regression feature of a graphing utility to find the equation of the least squares regression line that fits the data. (d) Compare the linear model you found in part (b) with the linear model you found in part (c).
Demand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00

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What type of relationship does the following regression line represent? 0000 a. No relationship b. A curvilinear relationship c. A positive relationship d. A negative relationship