Question

The distance traveled in an hour by a Kentucky Horse rider is –1 miles plus 7 miles per hour on gravel (Distance = 7 * hours – 2). The correlation coefficient between distance and miles is

Answer #1

the correlation coefficient between distace and time will be 1.

why?

because they are linearly related.

lets take an example,

time(X) |
distance(Y) |
x=X-6 |
y=Y-40 |
xy |
x^2 |
y^2 |

1 |
5 |
-5 |
-35 |
175 |
25 |
1225 |

4 |
26 |
-2 |
-14 |
28 |
4 |
196 |

5 |
33 |
-1 |
-7 |
7 |
1 |
49 |

6 |
40 |
0 |
0 |
0 |
0 |
0 |

9 |
61 |
3 |
21 |
63 |
9 |
441 |

12 |
82 |
6 |
42 |
252 |
36 |
1764 |

5 |
33 |
-1 |
-7 |
7 |
1 |
49 |

mean of X=6 |
mean of Y=40 |
sum of xy=532 |
sum of x^2=76 |
sum of y^2=3724 |

putting the values well get r=1

do the java code below and prove that it works.
2. Distance Traveled The distance a vehicle travels can be
calculated as follows: Distance = Speed * Time For example, if a
train travels 40 miles-per-hour for three hours, the distance
traveled is 120 miles. Write a program that asks for the speed of a
vehicle (in miles-per-hour) and the number of hours it has
traveled. Both values are assumed to be integers. It should use a
loop to display...

Assume X (Miles per hour) is going to be used to predict
stopping distance (y)
X
Y
10
30
20
40
40
60
56
86
60
90
65
110
Find the CORRELATION between T and Y

Using Java.
The distance a vehicle travels can be calculated as
follows:
Distance = Speed * Time
For example, if a train travels 40 miles-per-hour for three hours,
the distance traveled is 120 miles. Write a program that asks for
the speed of a vehicle (in miles-per-hour) and the number of hours
it has traveled. Both values are assumed to be integers. It should
use a
loop to display the distance a vehicle has traveled for each hour
of a...

The distance between Harvard and California institute of technology
is 2766 miles. Determine the average speed (in miles per hour) of
someone who took 42.5 hours to drive from harvard to California
institute.
(Round to the nearest whole number. Do not include units)

in c++ Write a program that asks the user for the speed of a
vehicle (in miles per hour) and how many hours it has traveled. It
should use a loop to display the total distance traveled. The speed
traveled should be limited by the fastest speed achieved by a car
thus far. Values should not be negative.•Ex: if hours = 3 and speed
= 40, then the program should display•Hour 1: Distance Traveled: 40
miles•Hour 2: Distance Traveled: 80...

The data in the table present the speed of an automobile (miles
per hour) and its corresponding gasmileage (miles per gallon).
Speed 30 40 50 60 70
Gas-Mileage 24 28 30 28 24
1. Which is the explanatory variable, and which is the
response?
2. Make a scatterplot of Mileage vs Speed. (Choose the
appropriate scales, and use a ruler for the plot).
3. Is the association between the two variables positive or
negative? Explain.
4. Compute the correlation r...

1. It is advertised that the average braking distance for a
small car traveling at 65 miles per hour equals 120 feet. A
transportation researcher wants to determine if the statement made
in the advertisement is false. She randomly test drives 36 small
cars at 65 miles per hour and records the braking distance. The
sample average braking distance is computed as 114 feet. Assume
that the population standard deviation is 22 feet. a. H0: average
breaking distance for small...

You own a 12-foot windrower that operates at 7 miles per hour
with a field efficiency of 88%. Due to timeliness concerns you need
to windrow a190 acres in two days. Will you be able to meet minimum
capacity requirements operating 10 hours per day?

The following data is used to study the relationship between
miles traveled and ticket price for a commercial airline:
Distance in miles:
300 400
450 500
550 600
800 1000
Price charged in $:
140 220
230 250
255 288
350 480
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.987
R Square
0.975
Adjusted R Square
0.971
Standard Error
17.352
Observations
8
ANOVA
df
SS
MS
F
Significance F
Regression
1
70291.3
70291.3
233.4
4.96363E-06
Residual
6
1806.6
301.1
Total...

Calculating Confidence Intervals
1. The average distance driven to work for a random sample of 55
people living in Columbus Ohio is 17 miles with a standard
deviation of 2.2 miles. The average distance driven to work for a
random sample of 30 people living in Cincinnati Ohio is 15.5 miles
with a standard deviation of 1.7 miles. We are interested in a 95%
confidence interval for the difference in average distance driven
to work.
2. A study of teenage...

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