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The following are advertised sale prices of color televisions at an electronics store. Size (inches) Sale Price ($) 9 147 20 187 27 297 31
The following are advertised sale prices of color televisions at an electronics store. Size (inches) Sale Price ($) 9 147 20 187 27 297 31 447 35 1177 40 2177 60 2497 Part (a) Decide which variable should be the independent variable and which should be the dependent variable. O Independent variable: size; Dependent variable: sale price O Independent variable: sale price; Dependent variable: size Part (b) Draw a scatter plot of the data. Sale Price Sale Price 2500 . 1000. 2000 800 1500 600 1000 400 500 Size (in) to Size (in) 0 10 10 20 30 40 50 60 O Of 20 30 40 50 60 Sale Price Sale Price 1000 2500 800 2000 600 1500 400 1000 500 Size (in) 20 30 40 50 60 Size (in) 0 0 10 20 30 40 50 60 Part (c) Does it appear from inspection that there is a relationship between the variables? Why or why not? O Yes, it appears that the television cost increases with television size Yes, it appears that the television cost decreases with television size. O No, there is no visible relationship between the variables. Part (d) Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) y = Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? O Yes O NO Part (f) Find the estimated sale price for a 33 inch television. (Use your equation from part (d). Round your answer to two decimal places.) $ Find the estimated sale price for a 46 inch television. (Use your equation from part (d). Round your answer to two decimal places.) $ Part (9) Does it appear that a line is the best way to fit the data? Why or why not? O A line does appear to be the best way to fit the data because the data follow a weak positive trend. O A line does not appear to be the best way to fit the data because it does not touch all the data points. O A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive. A line does not appear to be the best way to fit the data because the data do not follow a linear trend Part (h) Are there any outliers in the above data? O Yes, (9, 147) is an outlier Yes, (40, 2177) is an outlier. O Yes, (60, 2497) is an outlier. O No, there are no outliers. Part (i) What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.) Interpret the slope. As the size of the television ---Select--- | by one inch, the sale price [---Select-- ] by $
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