Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 14.3, Problem 36E
To determine
Explain the reason to perform a model utility test before using an estimated regression model.
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A microcomputer manufacturer has developed a regression model relating his sales (y=$10,000s) with three independent variables. The three independent variables are price per unit(Price in $100s), advertising( ADV in $1000s) and the number of product lines (Lines). Part of the regression results is shown below.
Coefficient Standard Error
Intercept 1.0211 22.8752
Price(X1) -0.1524 0.1411
ADV (X2) 0.8849 0.2886
Lines(X3) -0.1463 1.5340
Source d.f. S.S.
Regression 3 2708.61
Error 14 2840.51
Total 17 5549.12
What has been the sample size (n) for this analysis?
Use the above results to find the estimated multiple…
What does it mean for a regression line to be the "best-fit" line.
when a regression is used as a method of predicting dependent variables from one or more independent variables. How are the independent variables different from each other yet related to the dependent variable?
Chapter 14 Solutions
Introduction To Statistics And Data Analysis
Ch. 14.1 - Prob. 1ECh. 14.1 - The authors of the paper Weight-Bearing Activity...Ch. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - The relationship between yield of maize (a type of...
Ch. 14.1 - Prob. 11ECh. 14.1 - A manufacturer of wood stoves collected data on y...Ch. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - State as much information as you can about the...Ch. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - The ability of ecologists to identify regions of...Ch. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - Prob. 28ECh. 14.2 - The article The Undrained Strength of Some Thawed...Ch. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - This exercise requires the use of a statistical...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - When Coastal power stations take in large amounts...Ch. 14.3 - Prob. 39ECh. 14.3 - The article first introduced in Exercise 14.28 of...Ch. 14.3 - Data from a random sample of 107 students taking a...Ch. 14.3 - Benevolence payments are monies collected by a...Ch. 14.3 - Prob. 43ECh. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Exercise 14.26 gave data on fish weight, length,...Ch. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - The article The Analysis and Selection of...Ch. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - This exercise requires use of a statistical...Ch. 14.4 - Prob. 62ECh. 14 - Prob. 63CRCh. 14 - Prob. 64CRCh. 14 - The accompanying data on y = Glucose concentration...Ch. 14 - Much interest in management circles has focused on...Ch. 14 - Prob. 67CRCh. 14 - Prob. 68CRCh. 14 - Prob. 69CRCh. 14 - A study of pregnant grey seals resulted in n = 25...Ch. 14 - Prob. 71CRCh. 14 - Prob. 72CRCh. 14 - This exercise requires the use of a statistical...
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardDoes Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forwardFor the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracyarrow_forward
- For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.arrow_forwardTable 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?arrow_forwardIs the regression equation for predicting Y in terms of X the same as the regression line for predicting X in terms of Y?arrow_forward
- The slope of a regression line tells you how much or little a change in your dependent variable impacts your independent variable. O TrueO Falsearrow_forwardExplain what a dummy variable is and how it is used in regression analysisarrow_forwardA national homebuilder builds single-family homes and condominium-style townhouses. The accompanying dataset provides information on the selling price, lot cost, and type of home for closings during one month. Develop a multiple regression model for sales price as a function of lot cost and type of home. Create a dummy variable named "Townhouse", where it is equal to 1 when Type="Townhouse" and 0 otherwise. Determine the coefficients of the regression equation. Type Sales_Price Lot_Cost Townhouse 112740 20700 Single Family 136530 25500 Townhouse 147905 24650 Single Family 170000 25200 Townhouse 181916 45025 Townhouse 187390 27000 Single Family 189120 35000 Townhouse 196898 45025 Townhouse 203076 45025 Single Family 205821 39299 Single Family 214205 36500 Townhouse 250800 73400 Single Family 255000 43198 Single Family 268000 43344 Single Family 268500 41099 Single Family 271105 45000 Single Family 277720 44650 Single Family 294990…arrow_forward
- A study was conducted to determine if a linear relationship exists between Calculus II (Y) grades and Calculus I (X). The researcher found out that the values of the slope and the y-intercept of the regression line is equal to 1.0134 and – 5.239, respectively. What is the predicted Calculus II grade when the Calculus I grade is equal to 85?arrow_forwardHow are the slope and intercept of a simple linear regression line calculated? What do they tell us about the relationship between the two variables?arrow_forwardplease only answer the last part "Suppose that real income per capita in New Jersey increases by 1% in the next year. Use the results in column (4) to predict the change in the number of traffic fatalities in the next year. "arrow_forward
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