Answered: Find the slope, y-intercept, and…

Find the slope, y-intercept, and equation of the line represented by each table. 3. 4. 3 6 12 4 8 y 1 10 19 28 37 y 1 2 3 slope m = slope m = y-intercept b = y-intercept b = Equation: Equation:

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 2E: Cost of Adding Employees The following table shows the cost, in millions of dollars, to Walmart of...

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Cost of Adding Employees The following table shows the cost, in millions of dollars, to Walmart of adding the given number of employees to each of its superstores.14 E = number of new employees 1 2 3 4 C = cost 89.6 179.2 268.8 358.4 a. Find a linear model for the data in the table. b. Explain in practical terms the meaning of the slope of the linear model you found in part a.
Demand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00
The director of cooperative education at a state college wants to examine the effect of cooperative education job experience on marketability in the work place. She takes a random sample of 4 students. For these 4, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation. These data are presented in the table below. Student CoopJobs JobOffer 1 1 4 2 2 6 3 1 3 4 0 1 Graphical method: Show the slope of the line y- intercept Equation of the regression line SSE If coop jobs is 3 for the fifth student, what is the value of the job offer?
(c) If drinking an additional gram of alcohol each day raised the relative risk of breast cancer by exactly 0.01 , what would be the correlation between alcohol in wine intake and relative risk of breast cancer? A) There would be a poor quality, negative linear relationship. B) None of the options are correct. C) There would be a perfect, positive linear relationship. D) There would be a perfect, positive nonlinear relationship.
1. The phone company Boom Mobile provides a calling service with a fixed cost of $17 per month, plus a variable cost of $0.12 per minute of calls. a. Presents a linear model, determining the total cost C per call service in the month. b. What does the slope represent in the linear model?
A manufacturing company has three processing lines. Each processing line combines various raw materials to produce the same output, Y. One of the processing lines can combine units of input (X) to produce units of output (Y) such that there is a linear relationship between X and Y. The Chief Executive Officer wants the output model to be estimated for this processing line. Given the values of X and Y (in thousands of units) in the table below, and as the Director of Data Management, you are to: x 5 7 2 8 4 8 12 6 14 8 Determine the extent to which output changes as the input change and interpret your result. Find the intercept of the output model and interpret it. Write down the equation of the line of best fit for output. Determine the value of the extent of relationship between input (X) and output (Y), and interpret your result. Find the value of the coefficient of determination and interpret your result What will be the output level if the input…
A manufacturing company has three processing lines. Each processing line combines various raw materials to produce the same output, Y. One of the processing lines can combine units of input (X) to produce units of output (Y) such that there is a linear relationship between X and Y. The Chief Executive Officer wants the output model to be estimated for this processing line. Given the values of X and Y (in thousands of units) in the table below, and as the Director of Data Management, you are to: x 5 7 2 8 4 8 12 6 14 8 Determine the extent to which output changes as the input change and interpret your result. Find the intercept of the output model and interpret it. Write down the equation of the line of best fit for output. Determine the value of the extent of relationship between input (X) and output (Y), and interpret your result. Find the value of the coefficient of determination and interpret your result.
A manufacturing company has three processing lines. Each processing line combines various raw materials to produce the same output, Y. One of the processing lines can combine units of input (X) to produce units of output (Y) such that there is a linear relationship between X and Y. The Chief Executive Officer wants the output model to be estimated for this processing line. Given the values of X and Y (in thousands of units) in the table below, and as the Director of Data Management, you are to: x 5 7 2 8 4 8 12 6 14 8 Find the value of the coefficient of determination and interpret your result What will be the output level if the input usage is 15? What percentage of the changes in output is due to other raw materials apart from X? Test at 1 percent significance level, whether the correlation between X and Y exist.
Explain what is meant when two variables are positively linesrly related. What would scatter plott look like? Two variables x and y are postively linearly related if when the x value increases , the y value increases or decrease? The points on a scatter plot fall approximately in a-an ascending straight line b- a descending curve c- a descending straight line or d- an ascending curve from left to right?
A. Interpret the slope associated with mother's height and the intercept of this model. B. Calculate the test statistic that is labeled "C" in the output. C.What are the null and alternative hypotheses corresponding to the test statistic labeled "C" and its corresponding p-value in the output. H0: r = 0 HA: r ≠ 0 H0: b = 0 HA: b ≠ 0 H0: ρ = 0 HA: ρ ≠ 0 H0: β = 0 HA: β ≠ 0 D. What is the predicted height for a child born to a mother with a height of 67 inches and a father with a height of 71 inches? intercept of this model.
1, Estimate a linear regression, with Quantity as your dependent (y) variable. Your independent variables are Price, Xmas, Summer, and the Day of the Week variables. 2. Write out the estimated equation. 3. For each value of price (0 through 100 in increments of 5), plug the price into the estimated regression equation to get a “predicted quantity.” What is the average of these predicted quantities? Quantity day Price Xmas Summer Monday Tuesday Wednesday Thursday Friday Saturday Sunday 121 1 62 0 0 1 0 0 0 0 0 0 168 2 44 0 0 0 1 0 0 0 0 0 132 3 52 0 0 0 0 1 0 0 0 0 230 4 16 0 0 0 0 0 1 0 0 0 232 5 28 0 0 0 0 0 0 1 0 0 368 6 7 0 0 0 0 0 0 0 1 0 225 7 63 0 0 0 0 0 0 0 0 1 115 8 63 0 0 1 0 0 0 0 0 0 143 9 50 0 0 0 1 0 0 0 0 0 79 10 74 0 0 0 0 1 0 0 0 0 85 11 61 0 0 0 0 0 1 0 0 0 210 12 47 0 0 0 0 0 0 1 0 0 265 13 41 0 0 0 0 0 0 0 1 0 348 14 20 0 0 0 0 0 0 0 0 1 117 15 61 0 0 1 0 0 0 0 0 0 124 16 49 0 0 0 1 0 0 0 0 0 45 17 89 0 0 0 0 1 0 0 0 0
An economist believes there is a linear relationship between the marketprice of a particular commodity and the number of units suppliers of thecommodity are willing to bring to the marketplace. Two sampleobservations indicate that when the price equals $15 per unit, the weekly supply equals 30,000 units; and when the price equals $20 per unit, theweekly supply equals 48,000 units (i) If price per unit, p, is plotted on the horizontal axis and the quantitysupplied q is plotted on the vertical axis, determine the slope-intercept formof the equation of the line which passes through these two points.(ii) Interpret the slope of the equation in this application.(iii) Predict the weekly supply if the market price equals $25 per unit.