Question

1. Use the least squares method to find the slope of the line of best fit for the data set below. Round to three decimal places.

x 67 28 26 47 86 32 15 70
y 46 34 33 38 46 37 35 44
A. 4.430
B.0.202
C.−4.430
D.−0.202
2. A real estate agent has developed a linear model for the price of a house, P, in dollars in terms of the area, A, in square feet for the homes in a certain neighborhood. The equation is P=88,000+62.5A. What is the predicated price for a home that is 3,200 square feet? Round to the nearest dollar.(1 point)
3. A meteorologist has collected the data about the diameter of hailstones in inches, d, and the speed at which they fall in miles per hour, s. The resulting line of best fit for the data set is s=7.62+29.6d. What is the predicted speed for a hailstone with a diameter of 5 inches? Round to the near st whole number.(1 point)
miles per hour
4.A linear model has the equation y=10.4−0.25x. What is the residual for a point (6,9.2)?(1 point)
The residual is

Answer 1

[AI-generated answer — Bot GPT 3.5]

1. B. 0.202

2. P = 88,000 + 62.5(3,200) = 88,000 + 200,000 = $288,000
3. s = 7.62 + 29.6(5) = 7.62 + 148 = 155.62 ≈ 156 mph
4. y = 10.4 - 0.25(6) = 10.4 - 1.5 = 8.9
Residual = 9.2 - 8.9 = 0.3