The table lists the average monthly cost to workers for family health insurance for various years.Year, xAverage Monthly Cost to Workers forFamily Health Insurance$298a) Use a graphing calculator to fit a regression line to the data.b) Predict the average monthly cost to workers for family health insurance in 2020, and compare the value with $493.3, which isobtained using the points (1,340) and (4,386).c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely.2009, 02010, 12011, 23403482012, 33672013, 42014, 5386406a) The linear equation of the regression line that best models the data is y =x+.(Round to the nearest hundredth as needed.)b) The average monthly cost to workers for family health insurance in 2020 is predicted to be $(Round to the nearest cent as needed.)Compare the above obtained value with $493.3This value is $$493.3c) The correlation coefficient is(Round to the nearest thousandth as needed.)Does the regression line fit the data closely?NextF10吕0F7escF1@23%$%&235678QWEU

Given the table list the average monthly cost to workers for family health insurance. Using the…

Answered: Year, x Average Monthly Cost to Workers…

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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Increasing numbers of manatees ("sea sirens") have been killed by boats off the Florida coast. The following graph shows the relationship between the number of boats registered in Florida and the number of manatees killed each year.† The graph has horizontal axis labeled "Boats (100,000)" and vertical axis labeled "Manatee deaths." The graph has a scatter plot of 24 points and a regression curve through the points. The regression curve enters the window in the first quadrant, goes up and right becoming more steep, passes through the approximate point (4.5, 16.99), passes through the point (5, 18.75), passes through the point (6, 27.6), passes through the point (7, 43.55), passes through the point (8, 66.6), passes through the approximate point (8.5, 80.79), and exits the window in the first quadrant. The regression curve shown is given by f(x) = 3.55x2 − 30.2x + 81 manatees (4.5 ≤ x ≤ 8.5), where x is the number of boats (in hundreds of thousands) registered in Florida in a…
in a regression analysis 68% of students test score is determined by class absenteeism. The relationship between class absenteeism and test score has a linear equation of Y= 34-0.85(X) what the correlation coefficient is a. 0.4624 b. -0.85 c. -0.8246 d none of the above e.0.68
a tab = The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, bo + bx, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, It would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Answer How to enter your answer (opens in new window) esc Step 3 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable . Google Play Store alt 1…
The equation of a regression line, unlike the correlation, depends on the units we use to measure the explanatory and response variables. Here is the data on percent body fat and preferred amount of salt. Preferred amountof salt x 0.2 0.3 0.4 0.5 0.6 0.8 1.1 Percent body fat y 21 30 23 30 39 24 31 In calculating the preferred amount of salt, the weight of the salt was in milligrams. (a) Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in milligrams. (Round your answers to one decimal place.) ŷ = + x (b) A mad scientist decides to measure weight in tenths of milligrams. The same data in these units are as follows. Preferred amountof salt x 2 3 4 5 6 8 11 Percent body fat y 21 30 23 30 39 24 31 Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in tenths of milligrams. (Round your intercept to one decimal place and your slope to two…
1. Develop a simple linear regression equation for starting salaries using an independent variable that has the closest relationship with the salaries. Explain how you chose this variable.
While attempting to measure its risk exposure for the upcoming year, an insurance company notices a trend between the age of a customer and the number of claims per year. It appears that the number of claims keep going up as customers age. After performing a regression, they find that the relationship is (claims per year) = 0.385*(age) + 5.218. If a customer is 44.315 years old and they make an average of 11.239 claims per year, the residual is -11.04. Interpret this residual in terms of the problem. Question 10 options: 1) The number of claims per year is 11.04 claims less than what we would expect. 2) The age is 11.04 years larger than what we would expect. 3) The age is 11.04 years less than what we would expect. 4) The number of claims per year is 11.239 claims less than what we would expect. 5) The number of claims per year is 11.04 claims…
A regression modrel examining the amount of distance a long-ddistance runner runs (in miles) to predict the amount of fluid the runner drinks (ounces0 has a slope of 4.6. Which interpretation is appropiate? The correlation is needed to interpret this value. Arunner drinks minimum of 4.6 oz. We predict 4.6 miles for every ounce that drunk. We predict for every mile run, the runner drinks 4.6 more ounces. Each mile adds 4.6 more ounces.
A graphing calculator is recommended. When laboratory rats are exposed to asbestos fibers, some of them develop lung tumors. The table lists the results of several experiments by different scientists. Asbestos exposure (fibers/mL) y = 50 Mice with Tumors (%) 400 O 500 900 1,100 1,600 1,800 2,000 3,000 3000 2500 2000 1500 (a) Find the regression line for the data. (Use x for asbestos exposure in fibers/mL and y for percent of mice with tumors. Round your values to four decimal places.) 1000 500 Percent of mice that develop lung tumors (b) Construct a scatter plot and graph the regression line. o 0 7 6 11 10 27 41 38 37 49 20 30 40 50 Asbestos Exposure (Fibers/mL.) 60 Mice with Tumors (%) 3000 ● 2500 2000 1500 1000 500 60 0 0 10 20 30 40 50 60 Asbestos Exposure (Fibers/mL) Ⓡ 4
The datasetBody.xlsgives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (lb), Height (in), and circumference (cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist. We are interested in predicting body fat based on abdomen circumference. Find the equation of the regression line relating to body fat and abdomen circumference. Make a scatter-plot with a regression line. What body fat percent does the line predict for a person with an abdomen circumference of 110 cm? One of the men in the study had an abdomen circumference of 92.4 cm and a body fat of 22.5 percent. Find the residual that corresponds to this observation. Bodyfat Abdomen 32.3 115.6 22.5 92.4 22 86 12.3 85.2 20.5 95.6 22.6 100 28.7 103.1 21.3 89.6 29.9 110.3 21.3 100.5 29.9 100.5 20.4 98.9 16.9 90.3 14.7 83.3 10.8 73.7 26.7 94.9 11.3 86.7 18.1 87.5 8.8 82.8 11.8 83.3 11 83.6 14.9 87 31.9 108.5 17.3…
What are the odds in favor of drawing a face card from a standard deck of 52 playing cards? 10:3 13:3 3:13 3:10 auto proctoru.com is sharing your screen Stop sharing Hide
Two variables have a positive linear correlation. Is the slope of the regression line for the variables positive or negative?
The equation of a regression line, unlike the correlation, depends on the units we use to measure the explanatory and response variables. Here is the data on percent body fat and preferred amount of salt. Preferred amountof salt x 0.2 0.3 0.4 0.5 0.6 0.8 1.1 Percent body fat y 20 31 22 29 39 22 30 In calculating the preferred amount of salt, the weight of the salt was in milligrams. (a) Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in milligrams. (Round your answers to one decimal place.) ŷ = ? + ? x (b) A mad scientist decides to measure weight in tenths of milligrams. The same data in these units are as follows. Preferred amountof salt x 2 3 4 5 6 8 11 Percent body fat y 20 31 22 29 39 22 30 Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in tenths of milligrams. (Round your intercept to one decimal place and your slope…

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