Mathematics Questions

3. The table below shows the sale price (in thousands of dollars) for several local homes based on the size of the house in square feet of living space
Square Feet
       1400    1550    1700    2350    2450
Selling Price
          245       219      279       324      405
a.) Find the best fit linear function that models the selling price of a house as a function of the size of the house.
b.) Fill in the table below giving the predictions from your model in part a, the error at each point and the squared error at each point.
Size      Selling price       Predicted price    Error      Squared error
1400          245
1550          219
1700          279
2350          324
2450          405
c.) Find the average error for your model from part a.
d.) Find the expected selling price for a home with 3200 square feet of living space.
e.) If Steve just bought a local house for $289 thousand dollars, how many square feet does the house have?

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