Answer:
Y^= 1.767 + 0.6294X when rounded give s Y^= 1.77 +0.63X
b= 0.6294 rounded to 0.63
a= 1.77
The predicted lines are for each X and Y
3.340,3.96, 4.914, 5.228, and 5.543
Step-by-step explanation:
The data given is
Length (m) Speed (m/s) Predicted Line
2.5 3 3.340
3.5 4.5 3.96
5 4.8 4.914
5.5 5.2 5.228
6 5.5 5.543
The calculations are
Xsquare XY Y X
6.25 7.5 3 2.5
12.25 15.75 4.5 3.5
25 24 4.8 5
30.25 28.6 5.2 5.5
36 33 5.5 6
Total 109.75 108.85 23 22.5
The estimated regression line of Y on X is
Y^ = a +bX
and two normal equations are
∑Y = na + b∑X
∑XY= a∑X + b∑X²
Now X`= ∑X/ n= 22.5/5=4.5
Y`= ∑Y/ n= 23/5= 4.6
b= n∑XY- (∑X)(∑Y) / n∑X²- (∑X²)
Putting the values
b= 5(108.85) - (23)(22.5)/ 5(109.75)- (22.5)²
b= 544.25-517.5/ 548.75-506.25
b= 26.75 /42.5
b= 0.6294
and
a= Y`- bX~= 4.6- 0.6294(4.5)= 4.6-2.823= 1.767
Hence the
desired estimated regression line of Y on X is
Y^= 1.767 + 0.6294X
Y^= 1.77 +0.63X
The estimated regression co efficient b= 0.6294 indicates that the values of Y increase by 0.6294 units for a unit increase in X.
First move the 2n over to the other side by subtracting it
so
4n=-8
then divide 4n by 4 and do the same to the other side
so
n= -8/4
n= -2
Since he went 168 miles in 4 hours, then his speed is 42 mph. Then, 504 divided by 42 is 12. It will take 12 hours at a steady pace of 42 mph to reach 504 miles.
Answer:
c = 32
Step-by-step explanation:
90 + 58 + c = 180
90 + 58 = 148
180 - 148 = 32
<u>c = 32</u>
Answer:
Step-by-step explanation:
A. It says he will get to sit in the front if the number is even
There are 6 sides, three of which are even numbers (2,4,6). So the probability of rolling an even number is 3/6 = 1/2.
Let's make p = 1/2
Jack will get his way half of the time, so we expect him to get the front seat half of the time
If we're talking about 20 days, then n = 20 and
n*p = 20*(1/2) = 20/2 = 10
meaning that Jack would, on average, get the front seat 10 times out of the 20 total.
B. Similar to A
n=100
The probability is still the same because rolling an odd number (1,3,5) is still going to happen 3/6 = 1/2 of the time.
so: n*p means 100 days*1/2 which is 100/2=50 days
Jill get to sit in the front 50 out of the 100 days.
C. For better accuracy, we can at least increase the number of trials so we have more data in able for better accuracy.
As Jill did 100 hundred, we think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.
