A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured
in thousands of dollars.
1 answer:
Question:
A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars. A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars.
Picture of data can be found in the picture attached.
Answer:
Slope = -1.71
Intercept = 22.05
Step-by-step explanation:
Equation of a line usually takes the general form :
ŷ = mx + c
Where :
m = slope or gradient
c = intercept
Inputting the data into a linear regression calculator ;
The output is : ŷ = -1.70872X + 22.04985
Comparing the output to the general formula;
The slope (m):
m = -1.70872 = -1.71(2 decimal places).
The intercept (c):
c = 22.04985 = 22.05(2 decimal places).
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You want to drwa a diagram
ok, so 10√2 yards at a 45 degree angle
alrighty
let's use a graphing plane
our starting point is at (0,0), the origin
if we go 10 right and 10 up, we end up at (10,10)
now, if we were to draw a line from our starting point (the origin) to the ending point (10,10), we get a line (duh)
if we measure the angle between the line and the x axis, we get 45 degrees
if we find the distance from (0,0) to (10,10) using the distaance formula, we get 10√2 is the distance from (0,0) to (10,10)
so going 10 out and 10 right is same as 10√2 at 45 degree angle
or you could draw a triangle (see diagram)
legs are 10 and 10, connect them to get a hypotnuse
since the legs are equal lengths, the angles are 45-45-90, we have a 45-45-90 triangle
we can either use the special properies of a 45-45-90 triangle (side lenghs are x:x:x√2) or use pythagorean
so remember if te legs are a,b,,c then a²+b²=c²
a=b=10
10²+10²=c²
100+100=c²
200=c²
sqrt both sides
10√2=c
the lenght is 10√2 at a 45 degree angle
ok, so 10√2 yards at a 45 degree angle
alrighty
let's use a graphing plane
our starting point is at (0,0), the origin
if we go 10 right and 10 up, we end up at (10,10)
now, if we were to draw a line from our starting point (the origin) to the ending point (10,10), we get a line (duh)
if we measure the angle between the line and the x axis, we get 45 degrees
if we find the distance from (0,0) to (10,10) using the distaance formula, we get 10√2 is the distance from (0,0) to (10,10)
so going 10 out and 10 right is same as 10√2 at 45 degree angle
or you could draw a triangle (see diagram)
legs are 10 and 10, connect them to get a hypotnuse
since the legs are equal lengths, the angles are 45-45-90, we have a 45-45-90 triangle
we can either use the special properies of a 45-45-90 triangle (side lenghs are x:x:x√2) or use pythagorean
so remember if te legs are a,b,,c then a²+b²=c²
a=b=10
10²+10²=c²
100+100=c²
200=c²
sqrt both sides
10√2=c
the lenght is 10√2 at a 45 degree angle