The scatterplot below suggests alinear relationship between the age

Question # 00264012 Posted By: kimwood Updated on: 04/27/2016 12:25 PM Due on: 05/27/2016
Subject Statistics Topic General Statistics Tutorials:
Question
Dot Image

The scatterplot below suggests alinear relationship between the age (in years) of an antique clockand its sale price (in euros) at auction. The data are age and saleprice for 11 antique clocks sold at a recent auction:


http://bcs.whfreeman.com/WebPub/Statistics/bps5e_bridge/question_bank_images/chapter_23-_inference_for_regression/r3-1.png


We fit the least-squares regression line to the modelPricei = α + β×Agei + εi ,
where the deviations εi are assumed to be independent and Normally distributed, with mean 0 and
standard deviation σ. A summary of the output is given:

http://bcs.whfreeman.com/WebPub/Statistics/bps5e_bridge/question_bank_images/chapter_23-_inference_for_regression/r3-2.png


The intercept of the least-squares regression line is (approximately)

a. 27.73

b. 1.893

c. 34.84

d. 0.267


11. An approximate 95% confidence interval for the slope B in the simple linear regression model is

a. 1.289 to 2.497 euros per year

b. 1.289 to 2.497 euros

c. 1.289 to 2.497 years per euro

d. None of the above


12. Suppose the researchers test the hypotheses Ho: B=0 Ha: B≠0

The value of the t statistic for this test is

a. -7.090

b. 1.893

c. 7.090

d. 0.796


13. The correlation between age of antique clock and auction price of antique clock is

a. -0.921

b. 0.921

c. -0.719

d. 0.719


14. Is there strong evidence that there is a straight line dependence between age and auction price in antique clocks?

a. No, because the value of the square of the correlation is relatively small

b. Yes, because the dots in the scatterplot look fairly linear

c. Yes, because the slope of the least-squares line is positive

d. Yes, because the P-value for testing if the slope is 0 is very small


15. Which of the following statements is supported by the scatterplot?

a. There appears to be a linear (as opposed to curved) relationship between age and auction price of antique clocks

b. There appears to be a serious outlier in the plot suggesting that our above results must be interpreted with caution

c. The plot contains strong evidence that the standard deviation of the response about the true regression line is not even approximately the same everywhere

d. The plot suggests that the deviations described by the model aren't Normal in distribution

Dot Image
Tutorials for this Question
  1. Tutorial # 00259264 Posted By: kimwood Posted on: 04/27/2016 12:25 PM
    Puchased By: 3
    Tutorial Preview
    0.79613. The correlation between age of antique clock and auction price ...
    Attachments
    Solution_(3).docx (15.89 KB)
    Recent Feedback
    Rated By Feedback Comments Rated On
    ms...rt Rating User-friendly tutoring service 07/09/2017

Great! We have found the solution of this question!

Whatsapp Lisa