Vid Mod 2.2: Linear Regression Let Y represent the profit (or loss) for a certain company X years after 1965. Based on the data shown below, a statistician calculates a linear model Y=0.04x+9.46. x y 5 10.8 6 9.92 7 8.74 8 9.56 9 9.18 10 10.2 11 10.02 12 8.44 13 11.76 Use the model to estimate the profit in `1977y =

Vid Mod 2.2: Linear Regression Let Y represent the profit (or loss) for a certain company X years after 1965. Based on the data shown below, a statistician calculates a linear model Y=0.04x+9.46. x y 5 10.8 6 9.92 7 8.74 8 9.56 9 9.18 10 10.2 11 10.02 12 8.44 13 11.76 Use the model to estimate the profit in `1977y =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 37E

See similar textbooks

Vid Mod 2.2: Linear Regression

Let Y represent the profit (or loss) for a certain company X years after 1965. Based on the data shown below, a statistician calculates a linear model Y=0.04x+9.46.

x	y
5	10.8
6	9.92
7	8.74
8	9.56
9	9.18
10	10.2
11	10.02
12	8.44
13	11.76

Use the model to estimate the profit in `1977

y =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
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
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?