The cost of a leading liquid laundry detergent in different sizes is given below. Part (a) Size (ounces) Cost ($) 16 3.89 32 4.79 64 5.79 200 10.59 Using "size" as the independent variable and "cost" as the dependent variable, draw a scatter plot. Cost ($) 8 Cost ($) 8 6 4 6 4 Size (oz) Size (oz) 0 50 100 150 200 0 50 100 150 200 아 О Cost ($) 10 8 6 4 Part (b) Cost ($) 10 8 6 4 པ] Size (oz) Size (oz) 50 100 150 200 0 50 100 150 200 Does it appear from inspection that there is a relationship between the variables? Why or why not? ○ Yes, it appears that cost increases with size. No, there is no visible relationship between the variables. Part (c) Calculate the least squares line. Put the equation in the form of: ŷ= a + bx. (Round your answers to three decimal places.) ŷ = Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.) r = Is it significant? ○ Yes No Part (e) If the laundry detergent were sold in a 50-ounce size, find the estimated cost. (Use your equation from part (c). Round your answer to two decimal places.) $ Part (f) If the laundry detergent were sold in an 80-ounce size, find the estimated cost. (Use your equation from part (c). Round your answer to two decimal places.) $ Part (g) Does it appear that a line is the best way to fit the data? Why or why not? A line is the best way to fit the data because the data follow an almost perfect positive linear trend. A line is the best way to fit the data because there seems to be a relationship between the variables. ○ A line is not the best way to fit the data because when you purchase double the amount of detergent, the cost does not double. A line is not the best way to fit the data because it should touch each data value in the scatter diagram. Part (h) Are there any outliers in the given data? Yes, (16, 3.89) is an outlier. Yes, (200, 10.59) is an outlier. Yes, (16, 3.89) and (200, 10.59) are outliers. No, there are no outliers. Part (1) Is the least squares line valid for predicting what a 300-ounce size of the laundry detergent would cost? Why or why not? ○ The least squares line is valid for predicting the cost of a 300-ounce container of detergent because it is possible to purchase 300 ounces. The least squares line is valid for predicting what a 300-ounce container of laundry detergent would cost because all equations can be used to make predictions. The least squares line is not valid for predicting the cost of a 300-ounce container of detergent because the cost would be unreasonable. The least squares line is not valid for predicting the cost of a 300-ounce container of detergent because 300 ounces is beyond the range of x-values. Part (j) What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.) Interpret the slope. (Round your answer to three decimal places.) As the Select--- of liquid laundry detergent increases by one unit, the detergent ---Select--- increases by ---Select---

The cost of a leading liquid laundry detergent in different sizes is given below. Part (a) Size (ounces) Cost ($) 16 3.89 32 4.79 64 5.79 200 10.59 Using "size" as the independent variable and "cost" as the dependent variable, draw a scatter plot. Cost ($) 8 Cost ($) 8 6 4 6 4 Size (oz) Size (oz) 0 50 100 150 200 0 50 100 150 200 아 О Cost ($) 10 8 6 4 Part (b) Cost ($) 10 8 6 4 པ] Size (oz) Size (oz) 50 100 150 200 0 50 100 150 200 Does it appear from inspection that there is a relationship between the variables? Why or why not? ○ Yes, it appears that cost increases with size. No, there is no visible relationship between the variables. Part (c) Calculate the least squares line. Put the equation in the form of: ŷ= a + bx. (Round your answers to three decimal places.) ŷ = Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.) r = Is it significant? ○ Yes No Part (e) If the laundry detergent were sold in a 50-ounce size, find the estimated cost. (Use your equation from part (c). Round your answer to two decimal places.) $ Part (f) If the laundry detergent were sold in an 80-ounce size, find the estimated cost. (Use your equation from part (c). Round your answer to two decimal places.) $ Part (g) Does it appear that a line is the best way to fit the data? Why or why not? A line is the best way to fit the data because the data follow an almost perfect positive linear trend. A line is the best way to fit the data because there seems to be a relationship between the variables. ○ A line is not the best way to fit the data because when you purchase double the amount of detergent, the cost does not double. A line is not the best way to fit the data because it should touch each data value in the scatter diagram. Part (h) Are there any outliers in the given data? Yes, (16, 3.89) is an outlier. Yes, (200, 10.59) is an outlier. Yes, (16, 3.89) and (200, 10.59) are outliers. No, there are no outliers. Part (1) Is the least squares line valid for predicting what a 300-ounce size of the laundry detergent would cost? Why or why not? ○ The least squares line is valid for predicting the cost of a 300-ounce container of detergent because it is possible to purchase 300 ounces. The least squares line is valid for predicting what a 300-ounce container of laundry detergent would cost because all equations can be used to make predictions. The least squares line is not valid for predicting the cost of a 300-ounce container of detergent because the cost would be unreasonable. The least squares line is not valid for predicting the cost of a 300-ounce container of detergent because 300 ounces is beyond the range of x-values. Part (j) What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.) Interpret the slope. (Round your answer to three decimal places.) As the Select--- of liquid laundry detergent increases by one unit, the detergent ---Select--- increases by ---Select---

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.8: Volumes Of Pyramids And Cones

Problem 16E

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