Question

The cost of a leading liquid laundry detergent in different sizes is given below.

Size (ounces)	Cost ($)
16	3.79
32	4.79
64	5.59
200	10.49

• Part (a)

  Using "size" as the independent variable and "cost" as the dependent variable, draw a scatter plot.

• Part (b)

  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 =  +  x

• Part (d)

  Find the correlation coefficient r. (Round your answer to four decimal places.)
  r =  
  
  Is it significant?

  Yes or No   

• Part (e)

  If the laundry detergent were sold in a 20-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 90-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 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 the best way to fit the data because there seems to be a relationship between the variables.    A line is the best way to fit the data because the data follow an almost perfect positive linear trend.A line is not the best way to fit the data because it should touch each data value in the scatter diagram.

Answer 1

a)

b) There seem to be a relationship between the variables. Because the scatterplot suggest a linear relationship between the two variables



e) x = 20

f) x = 90

g) Yes
A line is the best way to fit the data because the data follow an almost perfect positive linear trend
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