Be specificThe following is a table of the current world record times for men's freestyle swimming distances.Distance (meters)501002004008001500Record time (in seconds) 20.91 46.91 102.00 220.07 452.12 871.027. Find a linear regression. Write the equation correct to 10 decimal places in proper form:8. Explain the meaning of the slope of the line found in #7.9. Based on the equation of your line, what would the theoretical world record be for the 1000 meter freestyle?Does your answer make sense? Explain why or why not.3500

The current world record times for men's freestyle swimming distances is given in the following is a…

Answered: The following is a table of the current…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.530x-123.860. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 762 992 (a) Find the coefficient of determination and interpret the result. 2-0 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? 773 1044 Se (Round to two decimal places as needed.) How can the standard error of estimate be interpreted? The coefficient of determination is the fraction of the variation in average weekly wages for average weekly wages for and is represented by due to other factors or to sampling error. (b) Find the standard error of estimates and interpret the result. 796 1117 The standard error of estimate of the average weekly wage for is about s dollars. 817 1155 844 1196 for 878 1252 The remaining fraction of the variation, 931 1281…
The following table compares the length of a rhinoceros horn (in inches) to its body length (in inches). Use linear regression to find the equation for the line that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y = mx + b 34 37 40 43 46 49 52 55 111 114 124 134 133 142 156 161
The annual profits for a company are given in the following table, where x represents the number of years since 2004, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected profit (in thousands of dollars) for 2012, rounded to the nearest thousand dollars. Years since 2004 (x) Profits (y)(in thousands of dollars) 0 110 1 137 2 135 3 141 4 160 5 172
After entering data and doing linear regression on her calculator, Ellie got the screen shown below. Write the line of best fit in slope-intercept form to the nearest two decimal places. Do not use spaces in your answer. Linke3 y=ax+b a=-1.98062954 b=102.2009685 r2=.7685744609 r=-.8766837862
Refer to the data in the table: x y -3 0 -2 0 -1 1 0 1 1 3 2 4 Part a: Make a scatter plot and determine which type of model best fits the data. Part b: Find the regression equation. Part c: Use the equation from Part b to determine y when x = 25.
The following table compares the length of a rhinoceros horn (in inches) to its body length (in inches). Use linear regression to find the equation for the line that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y=mx+by=mx+b x 35 38 41 44 47 50 53 y 111 121 132 133 137 146 157
(d) Interpret the meaning of the slope of the regression line.
The figure for this exercise is a scatterplot of y with the following formula. Average math = 575 600 Average math SAT 575. 550 $525. 500- - = 1.11(Percent took) average math test score versus x = percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed 475 10 20 30 40 50 60 70 80 Percent taking test 90 (a) The slope of the equation is -1.11. Interpret this value in the context of how average math test changes when the percent of graduates taking the test changes. Average math test decreases 1.11 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent increase in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test increases 1.11 points per each 1-percent increase in the percentage of…
Use the time/tip data from the table below, which includes data from New York City taxi rides. (The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars.) Find the regression equation, letting time be the predictor (x) variable. Find the best predicted tip for a ride that takes 22 minutes. How does the result compare to the actual tip amount of $5.05? Distance 1.80 8.51 1.40 1.65 12.71 1.02 1.32 Time Fare Tip 0.68 8.00 6.00 25.00 31.00 18.00 11.00 27.00 8.00 16.30 31.75 12.30 9.80 36.80 7.80 7.80 6.30 1.50 2.98 2.46 1.96 0.00 2.34 0.00 1.89 The regression equation is ŷ = + (x. (Round the y-intercept to two decimal places as needed. Round the slope to four decimal places as needed.)
Use the regression equation to predict the value of y= -2.8. Assume that the variable x and y have a significant
Using the regression formula with a slope = .704 and an intercept = .719, what would the predicted college GPA be for a student whose current high school GPA = 3.2?
The table gives the amount of money (in dollars) spent on football by a major university. Letting x represent the number of years since 2006, and letting y represent the amount of money spent on football, in thousands of dollars, use the regression capabilities of a graphing calculator to find the equation of the line of best fit. Round values off to the nearest hundredth. Then, use your equation to make the following predictions. Year 2006 Dollars spent on football 173,000 The equation of the line of best fit is: Hint 2009 2010 2011 2007 2008 19 000 210,000 223,000 243,000 271,000 Predict the amount of money that will be spent on football in the year 2022. Predict the amount of money that will be spent on football in the year 2041.

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