## MATH 225N Week 8 Assignment Linear Regression Equations

**Question:**Annie owns a tutoring service. For each tutoring session, she charges $75 plus $35 per hour of work. A linear equation that expresses the total amount of money Annie earns per tutoring session is*y*=75+35*x*. What are the independent and dependent variables? What is the*y*-intercept and the slope?**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 … modeled by the function ….*G*(*x*)=16−4*x*….. Draw the graph of the growth function by plotting its*G*-intercept and another point….. So, (7,−12)is another point on the graph of*G*(*x*).**Question:**What percent of aluminum in the soil must there be for the daffodils to grow only by 5centimeters? …. Round your final answer to the nearest whole number….. 03 percent$3\ \text{percent}$3 percent**Question:**The scatter plot below shows data relating competitive chess players’ ratings and their IQ. Which of the following patterns does the scatter plot show?**Question:**The scatter plot below shows data relating total income and the number of children a family has. Which of the following patterns does the scatter plot show?**Question:**The number of quetions marked incorrect on a statistics midterm,*y*, is dependent on the pages of notes a student wrote over the semester,*x*, and can be modeled by the function*y*(*x*)=30−3.5*x*….. Draw the graph of the function by plotting its*y*-intercept and another point.**Question:**How many pages of notes did a student take if they had 12 problems marked incorrect on the statistics midterm?**Question:**A shoe designer explored the relationship between the percent of defects and the percent of new machines at various production facilities throughout the state. The designer collects information from 6 of their facilities, shown in the table below.**Question:**Using the linear relationship graphed above, estimate the percent of new machines if there is12% defects in the shoes at various production facilities.**Question:**A department store manager explored the relationship between the percent of customers that wait more than 7 minutes in line and the percent of customers that purchase last minute items at checkout. The manager collects information from 5 checkout lines, shown in the table below….. Use the graph below to plot the points and develop a linear relationship between the percent of waiting customers and the percent of last minute purchases.**Question:**Using the linear relationship graphed above, estimate the percent of last minute purchases if 40% of the customers wait more than 7 minutes in line.**Question:**A government agency explored the relationship between the percent of public colleges and the percent of freshmen that stay home during college. The researcher collects information from 5 states, shown in the table below….. Use the graph below to plot the points and develop a linear relationship between the percent of public colleges and the percent of freshmen that stay home during college.**Question: …**the linear relationship graphed above, estimate the percent of freshmen that stay in-state if there are 45% public colleges**Question:**Describe the relationship between the independent variable,*x*, and the dependent variable,*y*, if the correlation is positive.**Question: …**of the following patterns does the scatter plot show?**Question:**Horace keeps track of the amount of time he studies and the score he gets on his quiz. The data are … in the table below. Which of the scatter plots below accurately records the data?**Question:**An owner of multiple online clothing stores explored the relationship between the percent of on-call service representatives and the percent of purchases over $75 at the same stores. The owner collects information from 6 of their online stores, shown in the table below….. Use the graph below to plot the points and develop a linear relationship between the percent of on-call service representatives and the percent of purchases over $75.**Question:**Using the linear relationship graphed above, estimate the percent of over $75 purchases if there are 40% on-call service representatives.

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