The table below shows the profit, P(a), in dollars, from selling a items. 2. 14 P(x) 97.6 116.4 125.4 93.6 -26.4 -422.4 Using your calculator to do a quadratic regression, express the profit as a function of the number of items sold. Round all numbers to 1 decimal place. Using your quadratic regression, estimate the profit from selling 11 items? Select an answer v Round to 2 decimal places. Using your quadratic regression, estimate the number of items that need to be sold to make a profit of $23.4 ? Select an answer v Question Help: Video 1 Video 2 Message instructor Submit Question

The table below shows the profit, P(a), in dollars, from selling a items. 2. 14 P(x) 97.6 116.4 125.4 93.6 -26.4 -422.4 Using your calculator to do a quadratic regression, express the profit as a function of the number of items sold. Round all numbers to 1 decimal place. Using your quadratic regression, estimate the profit from selling 11 items? Select an answer v Round to 2 decimal places. Using your quadratic regression, estimate the number of items that need to be sold to make a profit of $23.4 ? Select an answer v Question Help: Video 1 Video 2 Message instructor Submit Question

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section: Chapter Questions

Problem 18T

See similar textbooks

Similar questions

For 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.
Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
Company X Tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to nearest dollar, for a selling price of 10.25 dollars.
Sam had 3 caffeinated drinks on april 24 1. use Linear regression to predict the number non caffeinated he had on april 24 and calculate the error of estimate for you prediction.
f. Are there any statistical problems with the regression indicated by the results?Explain!g. Discuss the meaning of the R-SQUARE
What is the regression to find a quadratic model for the data? The answer above does not mae sense.
On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student’s score on the final exam. She estimates the regression model to predict the final exam score using the math test score and number of hours studied per week. A portion of the regression results is shown in the following table. Coefficients Intercept 44.8 Math 0.30 Hours 3.75 (a) Suppose Bella and Ingrid have the same scores on the math test, but Bella studies 2 hours more per week than Ingrid. What is the difference in the final exam scores between the two students? (b) Compute the residual for a student whose math score of 65, studies 5 hours per week, and had a final exam score of 74.
A psychologist collected data on a person's age and the number of hours per week that person spent on the internet. The data are shown in the following cable. (a) Find the equation of a linear regression line for the data where age is the independent varlable, ×, and time Is the dependent varlable. (Round your numerical answers to three decimal places.) y= ? (b) Using the equation from part (a), estimate the number of hours a person 30 years old spends on the internet, (Round your answer to the nearest hour.) ? hr (c) Find the liner correlation coefficient. (Round your answer to the nearest four decimal places.) r= ?
Several states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below. From the results shown above, write the regression equation. What proportion of variation in the number of traffic fatalities can be explained by the regression model?
The R2 from a regression of consumption on income is 0.75. Explain how the R2 is calculated and interpret this value.
d) Interpret the value of the slope of the regression line obtained in (c). e) Calculate the percentage of variation in diastolic blood pressure that is NOT explained by the variation in grams of protein eaten per day. f) Estimate the average diastolic blood pressure given that the number of grams of protein ate per day is 8.5.
Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the profit, to the nearest dollar, for selling price of 27.5 dollars.