Evaluating a regression model: A regression was run to determine if there is a relationship between hoursof TV watched per day (x) and number of situps a person can do (y).The results of the regression were: y = - 0.998 · z + 36.998, with an R-squared value of 0.413449.Assume the model indicates a significant relationship between hours of TV watched and the number ofsitups a person can do. Use the model to predict the number of situps a person who watches 1 hours of TVcan do (to one decimal place).

Regression equation is given as, y = - 0.998x + 36.998

Answered: Evaluating a regression model: A…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.3: Fitting Linear Models To Data

Problem 7SE: A regression was run to determine whether there is arelationship between the diameter of a tree (x,...

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A regression was run to determine whether there is arelationship between the diameter of a tree (x, in inches) and the tree’s age (y, in years). Theresults of the regression are given below. Use this topredict the age of a tree with diameter 10 inches. y=ax+ba=6.301b=1.044r=0.970
Trying to find the estimated Bs from the regression.
Last tank! For Exercise 2’s regression model predicting fuel economy (in mpg) from the car’s horsepower, se = 3.287. Explain in this context what that means
Alumni Contributions The director of an alumni association for a small college wants to determine whether there is any type of relationship between the amount of an alumnus's contribution (in dollars) and the number of years the alumnus has been out of school. The data follow. The regression line equation is =y′−465.24448.008x . The correlation coefficient is =r−0.879 . Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume =α0.05 . Years, x 1 7 3 6 10 Contribution, y 500 100 300 50 80 Chose the best option for the given data. A) The standard error of the estimate should not be calculated B) The standard error of the estimate should be calculated S est =
For half-life demonstration, plot ln(half-lives) in the x-axis vs ln(no. of “tails-up” coins) in the y-axis. Perform linear regression to obtain the value of the slope, the value of the y-intercept, and the correlation coefficient r. What is the significance of these values?
Annual high temperature in a certain location have been tracked for several years. Let x represent the year and y the high temperature. Based on the data show below, calculate the regression line
A regression equation yˆ = 577 − 3.01x for the relationship between y = the maximum distance atwhich a driver can read a highway sign and x = driver age.(a) What is the predicted value of the maximum sign reading distance for a driver who is 21 yearsold?(b) Compute the residual for a 21-year old drier who can read the sign at a maximum distance of525 feet.(c) The standard deviation from the regression line in this example is approximately s = 50 feet.Use the Empirical Rule to give an interval that describes the maximum sign reading distancesfor about 95% of all drivers who are 21 years old.(d) Would it be unusual for a 21-year old driver to be able to read the sign from 650 feet? Justifyyour answer.
Let the X-values represent the times, in minutes, of preparation for a Statistics test; let the Y-values represent the points earned on the test. Assume that the sample of paired (X, Y) data is a simple random sample of quantitative data and the data have a bivariate normal distribution. Also, the scatterplot shows that the points approximate a straight-line pattern. Assume that the regression equation is y = 0.23x + 17. If a student spent 345 minutes preparing for the test, how many points should the student expect to earn?
Last bowl! For Exercise 1’s regression model predicting potassium content (in milligrams) from the amount of fiber (in grams) in breakfast cereals, se = 30.77. Explain in this context what that means
Production Volume (units) Total Cost ($) 400 4200 450 5200 550 5600 600 6100 700 6600 750 7200 Compute b1 and b0 (to 1 decimal). b1 b0 Complete the estimated regression equation (to 1 decimal). = + x According to this model, what is the change in cost (in dollars) for every unit produced (to 1 decimal)? Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1. r2 = What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? % The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to the nearest whole number)?
The weight and systolic blood pressure of 30 randomly selected males in the age group 25-30 areshown below. Assuming that weight and blood pressure (BP) are normally distributed.a) Find a regression line relating systolic blood pressure wo weightb) Estimate the coefficient of determination and interpret your findingsc) Test the hypothesis that p=0d) Test the hypothesis that p=0.6.e) Find the 95% CI for pf) Consider the weight and blood pressure and fit a non-intercept model to the data andcompare it to the model obtain in part (a). which model would you consider superior?Subject Weight Systolic BP Subject Weight Systolic BP1 165 130 16 172 1532 167 133 17 159 1283 180 150 18 168 1324 155 128 19 174 1495 212 151 20 183 1586 175 146 21 215 1507 190 150 22 195 1638 210 140 23 180 1569 200 148 24 143 12410 149 125 25 240 17011 158 133 26 235 16512 169 135 27 192 16013 170 150 28 187 15914 156 131 29 200 13715 185 127 30 220 140
A paddle wheel on a boat (see image below) has a diameter of 5 meters and takes 180 seconds to complete one revolution. As the wheel begins to turn, a barnacle attaches to the wheel at its lowest point, which is 0.5 meters below the surface of the water. a) Create a table of values that describes the height of the barnacle on the outer edge of the wheel during the first 12 minutes of the boat ride. b)Use your table of values to write a sinusoidal regression equation that models the height of the barnacle as a function of time. (Round to the nearest tenth). c) How does the radius of the paddle wheel relate to the parameters of your equation? Explain

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