10) Data for various drivers is displayed below showing the relationship between their age and the furthest distance at which they can read a road sign. The table gives the maximum age, a, in years and the distance, d, in feet. The scatterplot shows the relationship between age and distance. A d age distance (years) (feet) 23 570 27 520 28 455 40 455 52 455 64 350 65 425 70 375 Sign Legibility Distance (feet) 600 500 400 300 T 15 25 35 45 55 Driver Age (years) Draw your line of best fit through the data points. 65 T 75 85 b) Pick two points on your regression line. IMPORTANT: These two points should be on your line and not data points from the table. Do not use the y intercept as a point, because the x axis does not start at zero. Write both coordinates of your points in the blank lines below.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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10) Data for various drivers is displayed below showing the relationship between their age and the furthest distance at
which they can read a road sign. The table gives the maximum age, a, in years and the distance, d, in feet. The
scatterplot shows the relationship between age and distance.
a)
A
d
age
distance
(years) (feet)
23
570
27
520
28
455
40
455
52
455
64
350
65
425
70
375
Sign Legibility Distance (feet)
600
500
400
300
T
15
25
35 45 55 65
Driver Age (years)
Draw your line of best fit through the data points.
75
85
b)
Pick two points on your regression line. IMPORTANT: These two points should be on your line and not data
points from the table. Do not use the y intercept as a point, because the x axis does not start at zero. Write both
coordinates of your points in the blank lines below.
c)
Use your two points from part b to find an equation for your line of best fit. Use the letters a and d in your
equation. Do not use the letters x and y. If you end up with decimals in your equation, round to the nearest hundredth.
d)
Use your equation to estimate the distance at which someone can clearly read a road sign when they are
32 years old.
Transcribed Image Text:10) Data for various drivers is displayed below showing the relationship between their age and the furthest distance at which they can read a road sign. The table gives the maximum age, a, in years and the distance, d, in feet. The scatterplot shows the relationship between age and distance. a) A d age distance (years) (feet) 23 570 27 520 28 455 40 455 52 455 64 350 65 425 70 375 Sign Legibility Distance (feet) 600 500 400 300 T 15 25 35 45 55 65 Driver Age (years) Draw your line of best fit through the data points. 75 85 b) Pick two points on your regression line. IMPORTANT: These two points should be on your line and not data points from the table. Do not use the y intercept as a point, because the x axis does not start at zero. Write both coordinates of your points in the blank lines below. c) Use your two points from part b to find an equation for your line of best fit. Use the letters a and d in your equation. Do not use the letters x and y. If you end up with decimals in your equation, round to the nearest hundredth. d) Use your equation to estimate the distance at which someone can clearly read a road sign when they are 32 years old.
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