College Algebra
1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: OpenStax
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Textbook Question
Chapter 4.3, Problem 26SE
For the following exercises, use each set of data to calculate the regression line using a calculator or other technology tool, and determine the
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Find the regression equation for the data in the table:
y = 2(0.5)x
y = 0.70x2 - 3.89x + 1.11
y = 10x
y = -2.93x + 7.76
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were: y=ax+b a=-0.771 b=24.862Use this to predict the number of situps a person who watches 13 hours of TV can do (round to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and
number of situps a person can do (y).
The results of the regression were:
y=ax+b
a=-0.859
b-37.904
r²-0.589824
r=-0.768
Use this to predict the number of situps a person who watches 11.5 hours of TV can do (to one decimal
place)
Chapter 4 Solutions
College Algebra
Ch. 4.1 - If f(x) is a linear function, and (2,3) and (0,4)...Ch. 4.1 - The population of a small town increased from...Ch. 4.1 - If f(x) is a linear function, with f(2)=11, and...Ch. 4.1 - A new plant food was introduced to a young tree to...Ch. 4.1 - Graph f(x)=34x+6 by plotting points.Ch. 4.1 - Find a point on the graph we drew in Example 12...Ch. 4.1 - Graph f(x)=4+2x, using transformations.Ch. 4.1 - Find the x-intercept of f(x)=14x4.Ch. 4.1 - Given the function h(x)=2x4, write an equation for...Ch. 4.1 - A line passes through the points, (2,15) and...
Ch. 4.1 - Terry is skiing down a steep hill. Terry’s...Ch. 4.1 - Jessica is walking home from a friend’s...Ch. 4.1 - A boat is 100 miles away from the marina,...Ch. 4.1 - If the graphs of two linear functions...Ch. 4.1 - Ifa horizontal line has the equation f(x)=a and...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x- and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - Find the value ofx if a linear function goes...Ch. 4.1 - Find the value ofy if a linear function goes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line parallel to the line...Ch. 4.1 - Find the equation of the line perpendicular to the...Ch. 4.1 - For the following exercises, use the functions...Ch. 4.1 - For the following exercises, use the functions...Ch. 4.1 - At noon, a barista notices that she has 20 in...Ch. 4.1 - A gym membership with two personal...Ch. 4.1 - A clothing business finds there is a...Ch. 4.1 - A phone company charges for service accordingto...Ch. 4.1 - A farmer finds there is a linear relationship...Ch. 4.1 - A city’s population in the year 1960 was...Ch. 4.1 - A town’s population has been growing linearly.In...Ch. 4.1 - Suppose that average annual income (in dollars)...Ch. 4.1 - When temperature is 0 degrees Celsius,...Ch. 4.2 - A company sells doughnuts. They incur a fixed cost...Ch. 4.2 - A city’s population has been growing linearly. In...Ch. 4.2 - Try it #3 There is a straight road leading from...Ch. 4.2 - Explain how to find the input variable in a word...Ch. 4.2 - Explain how to find the output variable in a wordp...Ch. 4.2 - Explain how to interpret the initial value in a...Ch. 4.2 - Explain how to determine the slope in a...Ch. 4.2 - Find the area of a parallelogram bounded by...Ch. 4.2 - Find the area of a triangle bounded by the...Ch. 4.2 - Find the area of a triangle bounded by the...Ch. 4.2 - Find the area of a parallelogram bounded by...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - NUMERIC For the following exercises, use the...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - In 2004, a school population was 1,001. By 2008the...Ch. 4.2 - In 2003, a town’s population was 1,431. By 2007the...Ch. 4.2 - A phone company has a monthly cellular plan where...Ch. 4.2 - A phone company has a monthly cellular data plan...Ch. 4.2 - In 1991, the moose population in a park...Ch. 4.2 - In 2003, the owl population in a park was measured...Ch. 4.2 - The Federal Helium Reserve held about 16...Ch. 4.2 - Suppose the world’s oil reserves in 2014 are 1,820...Ch. 4.2 - You are choosing between two different prepaid...Ch. 4.2 - You are choosing between two different...Ch. 4.2 - When hired at a new job selling jewelry, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.3 - According to the data from Table 1, what...Ch. 4.3 - Use the model we created using technology in...Ch. 4.3 - Describe what it means if there is a model...Ch. 4.3 - What is interpolation when using a linear model?Ch. 4.3 - What is extrapolation when using a linear model?Ch. 4.3 - Explain the difference between a positive and...Ch. 4.3 - Explain how to interpret the absolute value of...Ch. 4.3 - A regression was run to determine whether there...Ch. 4.3 - A regression was run to determine whether there is...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - The U.S. Census tracks the percentage of persons...Ch. 4.3 - The US. import of wine (in hectoliters) for...Ch. 4.3 - Table 6 shows the year and the number ofpeople...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - Graph f(x)=0.5x+10. Pick a set of 5 orderedpairs...Ch. 4.3 - Graph f(x)=2x10. Picka set of5 ordered pairs using...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4 - Determine whether the algebraic equation is...Ch. 4 - Determine whether the algebraic equation is...Ch. 4 - Determine whether the function is increasing...Ch. 4 - Determine whether the function is increasing...Ch. 4 - Given each set of information, find a linear...Ch. 4 - Given each set of information, find a linear...Ch. 4 - Find the slope of the line shown in the graph.Ch. 4 - Find the slope of the line shown in the graph.Ch. 4 - Write an equation in slope-intercept form for the...Ch. 4 - Does the following table represent a linear...Ch. 4 - Does the following table represent a linear...Ch. 4 - On June 1st, a company has $4,000,000 profit.If...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, find the x-and...Ch. 4 - For the following exercises, find the x-and...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - Find the area of a triangle bounded by the y-axis,...Ch. 4 - A town’s population increases at a constant rate....Ch. 4 - The number of people afflicted with the common...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercise, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - Draw a scatter plot for the data in Table 2. Then...Ch. 4 - Draw a scatter plot for the data in Table 3. If we...Ch. 4 - Eight students were asked to estimate their score...Ch. 4 - Draw a best-fit line for the plotted data.Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - Determine whether the following algebraic...Ch. 4 - Determine whether the following function...Ch. 4 - Determine whether the following function...Ch. 4 - Given the following set of information, find a...Ch. 4 - Given the following set of information. find a...Ch. 4 - Find the slope ofthe line in Figure l.Ch. 4 - Write an equation for line in Figure 2.Ch. 4 - Does Table 1 represent a linear function? If so,...Ch. 4 - Does Table 2 represent a linear function? If so,...Ch. 4 - At 6 am, an online company has sold 120 items that...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...
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- For the following exercises, draw a best-fit line for the plotted data.arrow_forwardFor the following exercises, use each set of data to calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to 3 decimal places of accuracy.arrow_forwardFor the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Determine whether the trend appears linear. If so, and assuming the trend continues, find a linear regression model to predict the percent of unemployed in a given year to three decimal places.arrow_forward
- For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year. 38. Determine whether the trend appears to be linear.If so, and assuming the trend continues, find alinear regression model to predict the percent of unemployed in a given year to three decimal places.arrow_forwardFor the following exercises, draw a scatter plot for the data provided. Does the data appear to be linearly related? 13. For the following data, draw a scatter plot. If wewanted to know when the temperature would reach 28°F, would the answer involve interpolation or extrapolation? Eyeball the line and estimate the answer.arrow_forwardFor the following exercises, draw a scatter plot for the data provided. Does the data appear to be linearly related? For the following data, draw a scatter plot. If we wanted to know when the population would reach 15,000, would the answer involve interpolation or extrapolation? Eyeball the line, and estimate the answer.arrow_forward
- For the following exercises, use the graph in Figure 3, showing the profit, y, in thousands of dollars, of a company in a given year, x, where x represents years since 1980. Draw a scatter plot for the data provided in Table 3. Then determine whether the data appears to be linearly related.arrow_forwardFor the following exercises, consider this scenario: The profit of a company decreased steadily overa ten-year spam.The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span, (number of units sold, profit) for specific recorded years: (46,600),(48,550),(50,505),(52,540),(54,495). Use linear regression to determine a function Pwhere the profit in thousands of dollars depends onthe number of units sold in hundreds.arrow_forwardFor the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span.The following ordered pairs show the population and the year over the ten-year span (population, year) for specific recorded years: (3,600,2000);(4,000,2001);(4,700,2003);(6,000,2006) 42. Use linear regression to determine a function y,where the year depends on the population, to threedecimal places of accuracy.arrow_forward
- For the following exercises, refer to Table 8. Use the regression feature to find an exponential function that best fits the data in the table.arrow_forwardFor the following exercises, use the median home values in Indiana and Alabama (adjusted for inflation) shown in Table 3. Assume that the house values are changing linearly. In which state have home values increased at a higher rate?arrow_forwardWhat is interpolation when using a linear model?arrow_forward
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