Q 1.

part i options: a) size of the welfare family, year; b) size of the welfare family, year

\\a \\a The average number of people in a family that received welfare for various years is given below. Year Welfare family size 1969 4.0 1973 3.6 1975 3.2 1979 3.0 1983 3.0 1988 3.0 1991 2.9 - Part (b) Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) y = Part (c) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? O Yes O No Part (d) Find the estimated welfare family size in 1970. (Use your equation from part (b). Round your answer to one decimal place.) people Find the estimated welfare family size in 1989. (Use your equation from part (b). Round your answer to one decimal place.) people Part (e) Based on the above data, is there a linear relationship between the year and the average number of people in a welfare family? O Yes O NoEl Part (f) Using the rounded least squares line, estimate the welfare family sizes for 1960 and 1995. (Use your equation from part (b). Round your answer to one decimal place.) Does the least squares line give an accurate estimate for those years? Explain why or why not. Q Yes, we can estimate the welfare family size for any year using the least squares line. C No, the years are outside the domain of 1969 to 1991. El PM (9) Are there any outliers in the above data? 0 Yes, (1969, 4.0) is an outlier. 0 Yes, (1991, 2.9) is an outlier. 0 Yes, (1969, 4.0) and (1991, 2.9) are outliers. O No, there are no outliers. El Part (h) What is the estimated average welfare family size for 1986? (Use your equation from part (b). Round your answer to one decimal place.) Does the least squares line give an accurate estimate for that year? Explain why or why not. Q The estimate is not accurate because it does not follow the linear trend. 0 The estimate is accurate because it follows the linear trend of the data set and falls within the domain of the data. 0 The estimate is not accurate because it is much lower than the observed values in 1983 and 1988. O The estimate is not accurate because it falls outside the domain. Part (i) 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--- increases by one, the ---Select--- decreases by people. Additional Materials eBookThe cost of a leading liquid laundry detergent in different sizes is given below. Size (ounces) Cost ($) 16 3.29 32 4.29 64 5.09 200 9.89 Part (a) Using "size" as the independent variable and "cost" as the dependent variable, draw a scatter plot. Cost ($) Cost ($) 8 6 6 4 4 - Size (oZ) - Size (oZ) 50 100 150 200 50 100 150 200 O o Cost ($) Cost ($) 10 10 . 8 8 6 6 4 Size (oZ) - Size (oZ) 50 100 150 200 50 100 150 200Part (b) Does it appear from inspection that there is a relationship between the variables? Why or why not? O Yes, it appears that cost increases with size. O No, there is no visible relationship between the variables. Part (c) Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) y = X Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? Yes O 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 (9) Does it appear that a line is the best way to t the data? Why or why not? 0 A line is the best way to t the data because the data follow an almost perfect positive linear trend. 0 A line is not the best way to t the data because it should touch each data value in the scatter diagram. 0 A line is not the best way to t the data because when you purchase double the amount of detergent, the cost does not double. 0 A line is the best way to t the data because there seems to be a relationship between the variables. - Part (h) Are there any outliers in the given data? 0 Yes, (16, 3.29) is an outlier. 0 Yes, (200, 9.89) is an outlier. 0 Yes, (16, 3.29) and (200, 9.89) are outliers. O No, there are no outliers. - Part (i) Is the least squares line valid for predicting what a BOO-ounce size of the laundry detergent would cost? Why or why not? 0 The least squares line is valid for predicting the cost of a BOO-ounce container of detergent because it is possible to purchase 300 ounces. 0 The least squares line is valid for predicting what a BOO-ounce container of laundry detergent would cost because all equations can be used to make predictions. 0 The least squares line is not valid for predicting the cost of a BOO-ounce container of detergent because the cost would be unreasonable. O The least squares line is not valid for predicting the cost of a BOO-ounce container of detergent because 300 ounces is beyond the range of x-values. What is the slope of the least squares (best-t) line? (Round your answer to three decimal places.) Interpret the slope. (Round your answer to three decimal places.) As the --Select--- V of liquid laundry detergent increases by one unit, the detergent --Select- V increases by --Select--- V . Additional Materials III eBook Submit