Chapter 12 Linear Regression Concepts (counts towards your grade)

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12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 1/10 1/1 pt Details Question 2 1/1 pt Details If the correlation coefficient is negative, this means there is no correlation between the variables the slope of the regression line is negative there is a strong correlation between the variables the regression line can be used for prediction the test statistic, , can not be calculated the calculation was done wrong Question Help: Message instructor A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the model is: where x is the number of years of schooling completed and y is the number of pregnancies. The slope of this line can be interpreted in the following way: When amount of schooling increases by one year, the number of pregnancies tends to increase by 5. When amount of schooling increases by one year, the number of pregnancies tends to increase by 4. When amount of schooling increases by one year, the number of pregnancies tends to decrease by 4. When amount of schooling increases by one year, the number of pregnancies tends to decrease by 5.

12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 2/10 Question 3 1/1 pt Details Question 4 1/1 pt Details Question Help: Message instructor If the equation of the regression line that relates income in dollars of student’s parents, , with cost in dollars of tuition, , is , then the slope tells us that for every dollar increase in tuition, student’s parent’s income tends to be 2 cents higher. true false Question Help: Message instructor From 1983 to 2011, the number of federally insured banks could be approximated by where t is the year and t=0 corresponds to 1983. Find the slope of the graph of B. -326 Interpret this slope as a rate of change. Choose the correct answer below. The number of banks decreased by -326 banks per year The number of banks increased by 326 banks per year The number of banks decreased by 13723 banks per year The number of banks increased by -326 banks per year The number of banks decreased by 326 banks per year The number of banks increased by 13723 banks per year

12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 3/10 Question 5 1/1 pt Details Find the y-intercept of the graph of B. The y-intercept is 13723 Interpret the y-intercept. Choose the correct answer below. The y-intercept is the maximum number of banks allowed in the country The y-intercept is the number of banks in 1988 The y-intercept is the number of banks in 2011 The y-intercept is the number of banks in 1983 The y-intercept is the minimum number of banks allowed in the country Question Help: Message instructor Let be the height of a maple tree in inches and the number of years since 2000. A linear model for the data is .

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12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 4/10 Question 6 1/1 pt Details 3 6 9 12 15 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 A) To the nearest inch, estimate the height of the maple tree in 2011. 188.022 inches B) Use the equation to find the year in which the tree will be 234 inches tall. 2015 Question Help: Message instructor Let be the height of a maple tree in inches and the number of years since 2000. A linear model for the data is .

12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 5/10 Question 7 1/1 pt Details 3 6 9 12 15 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 A) To the nearest inch, estimate the height of the maple tree in 2011. 188.022 inches B) Use the equation to find the year in which the tree will be 234 inches tall. 2015 Question Help: Message instructor The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.9 8.3 6.7 3.3 2.8 2.8 2.7 0.4 14.2 10.9 9.9 6.7 6.6 6.5 6.6 4.6 = thousands of automatic weapons = murders per 100,000 residents This data can be modeled by the equation Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 5.4 thousand automatic weapons?

12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 6/10 Question 8 1/1 pt Details Question 9 1/1 pt Details Answer = 8.692 Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 5.5 thousand automatic weapons? Answer = 8.775 Round to 3 decimal places. Question Help: Video Message instructor 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=-0.98 b=35.902 r 2 =0.680625 r=-0.825 Use this to predict the number of situps a person who watches 10.5 hours of TV can do (to one decimal place) 25.6 Question Help: Message instructor 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=a+bx b=-1.183 a=21.229 r 2 =0.720801 r=-0.849

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12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 7/10 Question 10 1/1 pt Details Question 11 1/1 pt Details Use this to predict the number of situps a person who watches 0.5 hours of TV can do. 20.6 Round to one decimal place. Question Help: Video Message instructor Iker believes that his score on an upcoming test can be modeled by the equation where represents the number of hours spent studying, and represents Iker's test score. Assuming this equation is accurate, predict Iker's test score if he studies for 1.5 hours. 66.35 Assuming this equation is accurate, predict Iker's test score if he studies for 4 hours. 83.6 Question Help: Message instructor Let ŷ represent the profit (in thousands of dollars) for a certain company years after 1980. A statistician calculates a linear model ŷ = -0.15 + 22.7 Use the model to estimate the profit in 1998. Your answer should be in dollars, not thousands of dollars. Profit =$ 20,000

12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 8/10 Question 12 1/1 pt Details Question 13 1/1 pt Details Question Help: Message instructor The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries . Round your answers to 3 decimal places Raspberry Type grams Vitamin C content in mg Farm A - North Field 70 18.3 Farm B - North Field 80 23.2 Farm A - South Field 90 27.8 Farm B - South Field 100 32 Farm C -Small Field 110 36.1 Farm D 120 40.6 Farm E 130 45 .440 -12.14 Question Help: Message instructor Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data is shown below, Number of Pages () Cost() 592 73.12 557 70.27 806 107.66 877 105.47 540 72.4

12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 9/10 Question 14 1/1 pt Details Number of Pages () Cost() 207 29.77 647 74.17 302 46.22 799 96.89 Click to Copy-and-Paste Data A student calculates a linear model = .11 + 8.24 . (Please show your answers to two decimal places) Use the model above to estimate the cost when the number of pages is 573 Cost = $ 71.27 (Please show your answer to 2 decimal places.) Question Help: Message instructor An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses volume as a function of the mass . grams Volume in ml 21 235.8 23.5 263.8 26 297.8 28.5 323.2 31 348 33.5 376.1 36 404.2 A) Write the linear regression equation for the data in the chart. Volume 11.143 3.7 where x is the grams of the unknown metal. Round your

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12/15/23, 1:31 PM Chapter 12 Linear Regression Concepts (counts towards your grade) https://egcc.instructure.com/courses/40375/assignments/1211307?module_item_id=3857989 10/10 Question 15 1/1 pt Details answers to 3 decimal places B) If the mass of an unknown metal is 19, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. 215.4 Question Help: Message instructor Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data is shown below, Number of Pages () Cost() 256 35.6 660 91 806 105.6 902 110.2 983 114.3 796 85.6 988 120.8 304 51.4 299 34.9 798 91.8 646 75.6 Click to Copy-and-Paste Data A student calculates a linear model = .11 + 9.33 . (Please show your answers to two decimal places) Use the model above to estimate the cost when the number of pages is 294 Cost = $ 41.67 (Please show your answer to 2 decimal places.)