Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 12, Problem 46P
Do you think a linear fit is best? Why or why not?
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When the relationship between an independent variable and a dependent variable is assumed to be a straight line what type of regression is it? *
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the scatter plot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. the equation of the line y=-14.7+1.59x is called the least-squares regression line because it
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Chapter 12 Solutions
Introductory Statistics
Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Emma’s Extreme Sports hires hang-gliding...Ch. 12 - Ethan repairs household appliances like...Ch. 12 - Amelia plays basketball for her high school. She...Ch. 12 - SCUBA divers have maximum dive times they cannot...Ch. 12 - For a given line of best fit, you computed that r...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...
Ch. 12 - Data are collected on the relationship between the...Ch. 12 - Identify the potential outlier in the scatter...Ch. 12 - The data points for the graph from the third...Ch. 12 - The following table shows economic development...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Linear Equations Use the following information to...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Is the equation y=10+5x3x2 linear? Why or why not?Ch. 12 - Which of the following equations are linear? a....Ch. 12 - Does the graph show a linear equation? Why or why...Ch. 12 - Use the columns "year" and "# flu cases diagnosed....Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - Does the scatter plot appear linear? Strong or...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - The Regression Equation Use the following...Ch. 12 - What does an r value of zero mean?Ch. 12 - When n = 2 and r = 1, are the data significant?...Ch. 12 - When n = 100 and r = -0.89, is there a significant...Ch. 12 - When testing the significance of the correlation...Ch. 12 - When testing the significance of the correlation...Ch. 12 - If the level of significance is 0.05 and the...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - Graph “year” versus “# flu cases diagnosed” (plot...Ch. 12 - Perform linear regression. What is the linear...Ch. 12 - Find the correlation coefficient. a. r = ________Ch. 12 - Solve. a. When x = 1985, y = _____ b. When x =...Ch. 12 - Does the line seem to fit the data? Why or why...Ch. 12 - What does the correlation imply about the...Ch. 12 - Plot the two given points on the following graph....Ch. 12 - Write the equation: y= ____________Ch. 12 - Hand draw a smooth curve on the graph that shows...Ch. 12 - Does the line seem to fit the data? Why or why...Ch. 12 - Do you think a linear fit is best? Why or why not?Ch. 12 - What does the correlation imply about the...Ch. 12 - Graph “year” vs. “# flu cases diagnosed.” Do not...Ch. 12 - Enter your data into your calculator or computer....Ch. 12 - Find the correlation coefficient. a. correlation =...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - Outliers Use the following information to answer...Ch. 12 - The Sum of Squared Errors for a data set of 18...Ch. 12 - The Standard Deviation for the Sum of Squared...Ch. 12 - For each of the following situations, state the...Ch. 12 - Piece-rate systems are widely debated incentive...Ch. 12 - The Gross Domestic Product Purchasing Power Parity...Ch. 12 - The following table shows the poverty rates and...Ch. 12 - Does the higher cost of tuition translate into...Ch. 12 - If the level of significance is 0.05 and the...Ch. 12 - If there are 15 data points in a set of data, what...Ch. 12 - What is the process through which we can calculate...Ch. 12 - Explain what it means when a correlation has an r2...Ch. 12 - Can a coefficient of determination be negative?...Ch. 12 - Recently, the annual number of driver deaths per...Ch. 12 - Table 12.20 shows the life expectancy for an...Ch. 12 - The maximum discount value of the Entertainment®...Ch. 12 - Table 12.22 gives the gold medal times for every...Ch. 12 - State # letters in name Year entered the Union...Ch. 12 - The height (sidewalk to roof) of notable tall...Ch. 12 - Ornithologists, scientists who study birds, tag...Ch. 12 - The following table shows data on average per...Ch. 12 - The following table consists of one student...Ch. 12 - A researcher is investigating whether population...Ch. 12 - School Mid-Career Salary (in thousands) Yearly...Ch. 12 - The average number of people in a family that...Ch. 12 - The percent of female wage and salary workers who...Ch. 12 - Use the following information to answer the next...Ch. 12 - Use the following information to answer the next...Ch. 12 - According to a flyer by a Prudential Insurance...Ch. 12 - The following are advertised sale prices of color...Ch. 12 - Table 12.34 shows the average heights for American...Ch. 12 - State # letters in name Year entered the Union...
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- Please helparrow_forwardFind the least-squares regression line treating square footage as the explanatory variable. y = (Round the slope to three decimal places as needed. Round the intercept to one decimal place as needed.)arrow_forwardCarrie and Ryan have both computed the slope of the least-squares line using data for which the standard deviation of the x-values and the standard deviation of the y-values are equal. Carrie gets a value of 0.5 for the slope, and Ryan gets a value of 2. One of them is right. Which one?arrow_forward
- You are given the following information about y and x. Dependent Variable y Independent Variable x 5 1 4 2 3 3 2 6 1 8 Refer to Exhibit 3. The least squares estimate of b1 (slope) equals a. -1 b. -2.4 c. -0.53 d. -5arrow_forwardWhat are the three requirements of linear regression?arrow_forwardCompute the least-squares regression line for predicting the 2012 budget from the 2006 budget. Round the slope and y. intercept to at least four decimal places.arrow_forward
- The estimated regression line: a. does not change the sum of squared residuals.b. maximizes the sum of squared residuals.c. minimizes the sum of squared residuals.d. sometimes maximizes and sometimes minimizes the sum of squared residuals.can you also explain the answer, pleasearrow_forwardProvide justification for your answer. 1) The least squares method for determining the best fit minimizes:a. total variation in the dependent variableb. sum of squares for errorc. sum of squares for regressiond. All of these choices are true.arrow_forwardYou wonder whether talking to plants keeps them from dying. You conduct a study in which you talk to one group of five plants and do not talk to a second group of five plants. After two weeks, you record whether each plant has lived or died. This assessment of plant health is a(n) _____ dependent variable, which means that the data can be analyzed using a(n) _____ test. a. nominal; parametric b. interval; parametric c. interval; nonparametric d. nominal; nonparametricarrow_forward
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