Question

enter values for x and y in the table to plot points in the graph. these data points represent the relationship between the size of a house (in 1000 square feet) and its price (in $100,000). (1.2, 1.7), (1.4, 2), (1.5, 2.2), (1.6, 2.3), (1.8, 2.5), (1.9, 2.6), (2.1, 2.9), (2.2, 2.8), (2.4, 3.4), (2.7, 3.1) use the trend line to predict the cost of a 2,000 - square - foot house.

Explanation:

Step1: Identify the value of \(x\)

Since the house size is \(2000\) square feet and \(x\) is in \(1000\) square feet, \(x = 2\).

Step2: Analyze the trend of the data points

Looking at the data points \((1.2,1.7),(1.4,2),(1.5,2.2),(1.6,2.3),(1.8,2.5),(1.9,2.6),(2.1,2.9),(2.2,2.8),(2.4,3.4),(2.7,3.1)\), we can observe the general trend. When \(x = 2\), by visual - inspection of the trend (assuming a linear - like trend for simplicity, as no specific trend - line equation is given but we can estimate from the data spread). The value of \(y\) (price in \(\$100000\)) for \(x = 2\) is approximately \(2.33\) (by averaging the nearby values or making a rough estimate based on the upward trend).

Step3: Calculate the price

Since \(y\) is in units of \(\$100000\), the price \(P=y\times100000\). Substituting \(y = 2.33\), we get \(P=2.33\times100000=\$233000\)

Answer:

\(\$233000\)