MATH 225N Week 8 Interpret the Slope and Y-Intercept of the Least Squares Regression Line; Examples: Fall 2021

MATH 225N Week 8 Interpret the Slope and Y-Intercept of the Least Squares Regression Line; Examples: Fall 2021 Question: A plot of time versus the price of a best-selling model of television has horizontal units of years since 2000 and vertical units of dollars. The best fit line of the data are defined by the equation y=−75x+550, where x=year and y=price. Question: Which of the following data sets or plots could have a regression line with a negative y-intercept? Select all that apply. Question: The scatter plot below shows the average cost of a designer jacket in a sample of years between 2000 and 2015. The least squares regression line modeling this data is given by yˆ=−4815+3.765x. Question: George is an avid plant lover and is concerned about the lack of daffodils that grow in his backyard. He finds the growth of the daffodils, G, is dependent on the percent of aluminum measured in the soil, x, and can be modeled by the function…. G(x)=16−4x….. Draw the graph of the growth function by plotting its G-intercept and another point. Question: What percent of aluminum in the soil must there be for the daffodils to grow only by 5 centimeters? …. Round your final answer to the nearest whole number. Question: True or False: The longer a road, the greater the amount of time it will take to travel its length. Question: True or False: The more time it takes to travel a road, the longer the road is. Question: True or false: Increases in height cause increases in shoe size. Question: A large observational study asks participants about caffeine consumption and sleep duration. The study finds that people with the largest caffeine intake have the shortest sleep duration…. Identify the relation between caffeine consumption and sleep duration.