Question 17The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995.220210200190180170160150140Let S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data isS(t)= 9.44t+84.182.130120-110-100Year Retail Sales0369121590-80785.851108.426141.781169.256202.297222.266369Use the above scatter plot to decide whether the linear model fits the data well.O The function is not a good model for the dataO The function is a good model for the data.Estimate the retails sales in the U. S. in 2013.number. Hint: Subtract 2013 - 1995 to find t.)billions of dollars. (Round to the nearest wholeUse the model to predict the year in which retails sales will be $249 billion.state the year. Hint: add t + 1995 to find the year.)(Round down to

Year (1995 is denoted by 0) Year : { 0 to 15 } Retail sales : { 85.851,.....222.266 } Linear…

Answered: Question 17 The following table shows…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 33EQ

See similar textbooks

Similar questions

Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Question 5. The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. Year Retail Sales 0 85.851 3 108.426 6 141.781 9 169.256 12 202.297 15 222.266 Let S(t)S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is F(t)=9.44t+84.182F(t)=9.44t+84.182.36912158090100110120130140150160170180190200210220Use the above scatter plot to decide whether the linear model fits the data well. The function is not a good model for the data The function is a good model for the data. Estimate the retails sales in the U. S. in 2012. billions of dollars.Use the model to predict the year that corresponds to retails sales of $239 billion. Question 7 Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 645 69.15 539 54.73…
Question 18: Let YY represent the profit (or loss) for a certain company XX years after 1960. Based on the data shown below, a statistician calculates a linear model Y=0.54X+5.85Y=0.54X+5.85. x y 4 7.78 5 9.2 6 8.72 7 9.14 8 9.86 9 12.48 10 11.3 11 10.52 12 12.44 13 11.56 14 13.68 15 14.4 16 14.72 17 14.64 18 15.66 19 16.08 Use the model to estimate the profit in `1965y =
Question No. 2 Eleven sales executive trainees are assigned selling jobs right after their recruitment.After a fortnight they are withdrawn from their field duties and given a month’straining for executive sales. Sales executed by them in thousands of rupees beforeand after the training, in the same period are listed below:Sales BeforeTrainingSales AfterTraining23 2420 1919 2121 1818 2020 2218 2017 2023 2316 20a. Do these data indicate that the training has contributed to their performance?b. Find the 95 per cent confidence Interval of the training.
Question 19: Based on the data shown below, a statistician calculates a linear model y=−2.23x+48.46y=-2.23x+48.46. x y 4 40.7 5 36.2 6 34.1 7 34.3 8 28.9 9 28.3 10 27.8 11 25.5 12 19.4 13 19.9 Use the model to estimate the y-value when x=4x=4y = Use the model to estimate the y-value when x=8x=8y =
Week (X) Demand (Y) 1 2000 2 2200 3 1890 4 2248 5 1902 6 2300 7 2304 8 1903 9 1899 10 2180 11 1893 12 1201 13 1000 how do I insert a linear trendline and be sure to display the equation and R value in excel?
Question 4 The following table shows information related to the number of salesman and sales made in October 2020 for Jubilee Berhad: Salesman Sales 1 200 2 260 3 700 4 840 5 1,000 6 1,100 Required: Forecast the total sales if the company has 10 salesman. Determine the correlation coefficient between the number of salesman and total sales if the company maintain the existing number of salesman. The sales trend can be described by the linear regression equation y = 780 + 4x, where x is the month number (with January 2013 as month 0) and y is sales in RM'000. The average seasonal variation for March is 106%. Forecast the sales for March 2015 (in thousand RM). Badrol anticipates that a 90% learning curve will apply to the production of a new item. The first item will cost RM2,500.00 in materials, and will take 500 labour hours. The cost per hour for labour and variable overhead is RM15.00. Calculate the total cost…
Question 15 A pharmaceutical salesperson receives a monthly salary of $2600 plus a commission of 2% of sales. Select a linear equation for the sales-person’s monthly wage W in terms of monthly sales S. Question 14 A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per month, all 60 units are occupied. However, when the rent is $630 per month, the average number of occupied units drops to 46. Assume that the relationship between the monthly rent p and the demand x is linear. Select the equation of the line giving the demand x in terms of the rent p. 13)Charlie's Chocolate Factory purchases a taffy-pulling machine for $885. The machine has a useful life of 5 years after which time another one will have to be purchased. Assume depreciation of the machine is linear. Write a linear equation giving the value V of the taffy-pulling machine during the 5 years it will be in use. 12)Find the slope-intercept form of the equation of the line that…
QUESTION 3: A final year BSc Finance student estimated a financial econometric model of the form Yt = α + β1X1t + β2X2t + β3X3t + β4X4t + ut, where; ? ? is stock market development proxied by stock market capitalisation, ?1? is real gross domestic product growth rate, ?2? is stock market liquidity proxied by market value traded, ?3? is banking sector development proxied by domestic credit, ?4? is democratic accountability, ?, ?1, ?2, ?3, ??? ?4, are all parameters to be estimated, and ?? is the unobservable error term. He subsequently estimated specified the model and reported the results as follows (where p-values are in parentheses and standard errors are in squared brackets): Yt = 0.68 + 0.29X1t + 0.15X2t + 0.19X3t + 0.31X4t (0.000) (0.000) (0.001) (0.002) (0.000) [0.090] [0.072] [0.016] [0.054] [0.121] R-square 0.862495 F-statistic 2.944376…

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS