Answered: Fill in the blank. The null hypothesis… | bartleby

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 2SGR

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Fill in the blank.
The null hypothesis for a test of a linear model is that the slope
The null hypothesis for a test of a linear model is that the slope
is positive.
does not equal zero.
is zero.
is negative.
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The number y (in thousands) of male participants in high school lacrosse in the United States from 2008 through 2015 can be approximated by the linear model y=3.66t+91.4,2t5 where t represents the year, with t=0 corresponding to 2010. (a) Find algebraically and interpret the y-intercept of the graph of the linear model. (b) Use the linear model to predict the year in which there will be 128,000 male participants.
Neurology The average weight of a male child’s brain is 970 grams at age 1 and 1270 grams at age 3. (a) Assuming that the relationship between brain weight y and age t is linear, write a linear model for the data. (b) What is the slope and what does it tell you about brain weight? (c) Use your model to estimate the average brain weight at age 2. (d) Use your school’s library, the Internet, or some other reference source to find the actual average brain weight at age 2. How close was your estimate? (e) (d) Do you think your model could be used to determine the average brain weight of an adult? Explain.
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
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
Does Table 2 represent a linear function? If so, finda linear equation that models the data.
Fill in the blank. A useful tool for checking if two of the conditions for a linear model hold is a A useful tool for checking if two of the conditions for a linear model hold is a boxplot. residual plot. histogram. scatterplot.
not use ai please →→news reporter wants to assess the top 30 college quarterbacks. The reporter recorded the number of plays (x) and the number of passes (y) a quaterback completed in one season. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places. x 519 678 373 319 496 430 524 357 642 592 417 701 457 815 394 514 527 494 487 305 565 551 644 403 605 819 479 468 544 532 y 104.3 109.4 50.7 43.7 83.6 47.4 49.4 74.7 99.6 54.3 62.5 84.7 48 119.8 45.8 59.4 55.7 44.4 49.6 43.5 46.7 68.9 86.3 45.7 51.7 100.5 67.5 46.6 57.7 68.1
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Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the leading coefficient of x should be positive or negative. O A. linear, negative O B. quadratic; negative O C. quadratic; positive O D. linear; positive 3- 2- -5 43 2 2. 3 4 5 20 -4-
Please give solution in correct and step by step detailed format thanku
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Find the equation of the regression line. X= 47,55,58,51,50,43 Y= 163, 203, 203, 182, 170, 140

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