Question

price of eggs and milk: the following table presents the average price in dollars for a dozen eggs and a gallon of milk for each month of a given year.
dozen eggs gallon of milk
2.01 3.58
1.96 3.47
1.77 3.58
1.69 3.43
1.89 3.52
1.67 3.52
1.80 3.47
1.88 3.50
send data to excel
part 1 of 4
(a) construct a scatter plot of the price of milk (y) versus the price of eggs (x).

Explanation:

Step1: Identify Variables

Let \( x \) be the price of a dozen eggs (from the "Dozen Eggs" column) and \( y \) be the price of a gallon of milk (from the "Gallon of Milk" column). The data pairs are: \((2.01, 3.58)\), \((1.96, 3.47)\), \((1.77, 3.58)\), \((1.69, 3.43)\), \((1.89, 3.52)\), \((1.67, 3.52)\), \((1.80, 3.47)\), \((1.88, 3.50)\).

Step2: Set Up Axes

On a graph, label the horizontal axis (x - axis) as "Price of Eggs (\( \$ \))" and the vertical axis (y - axis) as "Price of Milk (\( \$ \))". Determine appropriate scales for the axes. For the x - axis, the minimum value is \( 1.67 \) and the maximum is \( 2.01 \), so a scale from \( 1.6 \) to \( 2.1 \) (in increments of \( 0.1 \) or \( 0.05 \)) can be used. For the y - axis, the minimum value is \( 3.43 \) and the maximum is \( 3.58 \), so a scale from \( 3.4 \) to \( 3.6 \) (in increments of \( 0.05 \)) can be used.

Step3: Plot Points

For each data pair \((x_i, y_i)\), find the position on the x - axis corresponding to \( x_i \) and the position on the y - axis corresponding to \( y_i \), then mark the point (e.g., for the pair \((2.01, 3.58)\), move to \( x = 2.01 \) on the x - axis and \( y = 3.58 \) on the y - axis and mark the point). Repeat this for all 8 data pairs.

(Note: Since this is a text - based explanation, the actual scatter plot would be a graph with these points plotted. If using software like Excel, you can input the data into two columns (one for eggs, one for milk) and use the scatter plot function to generate the plot.)

Answer:

To construct the scatter plot, follow the steps above to plot the points \((2.01, 3.58)\), \((1.96, 3.47)\), \((1.77, 3.58)\), \((1.69, 3.43)\), \((1.89, 3.52)\), \((1.67, 3.52)\), \((1.80, 3.47)\), \((1.88, 3.50)\) with the x - axis as egg price and y - axis as milk price.