The following data represent the speed of a car (in miles per hour) and its breaking distance (in feet) on dry asphalt. Speed 30 Breaking Distance 63.2 40 50 89.4 107.5 B(x) = x 60 70 123.6 145 (a) Find the linear model that best fits this data using regression. Round the slope and y-intercept to two decimals. 80 166.4 feet (b) Predict the breaking distance if you were going 65 miles per hour. Use your rounded values from part (a). Round your final answer to one decimal. (c) What speed would you be traveling at if you needed 200 feet to break? Use your rounded values from part (a). Round your final answer to two decimals. mph

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The following data represent the speed of a car (in miles per hour) and its breaking
distance (in feet) on dry asphalt.
Speed
30
Breaking Distance 63.2
40
50
89.4 107.5
B(x) = x
60
123.6
(a) Find the linear model that best fits this data using regression. Round the slope and
y-intercept to two decimals.
feet
70
145
80
166.4
(b) Predict the breaking distance if you were going 65 miles per hour. Use your
rounded values from part (a). Round your final answer to one decimal.
mph
(c) What speed would you be traveling at if you needed 200 feet to break? Use your
rounded values from part (a). Round your final answer to two decimals.
Transcribed Image Text:The following data represent the speed of a car (in miles per hour) and its breaking distance (in feet) on dry asphalt. Speed 30 Breaking Distance 63.2 40 50 89.4 107.5 B(x) = x 60 123.6 (a) Find the linear model that best fits this data using regression. Round the slope and y-intercept to two decimals. feet 70 145 80 166.4 (b) Predict the breaking distance if you were going 65 miles per hour. Use your rounded values from part (a). Round your final answer to one decimal. mph (c) What speed would you be traveling at if you needed 200 feet to break? Use your rounded values from part (a). Round your final answer to two decimals.
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