The student will calculate and construct the line of best fit between two variables.
The student will evaluate the relationship between two variables to determine if that relationship is significant.
Collect the data
Use eight members of your class for the sample. Collect bivariate data (distance an individual lives
from school, the cost of supplies for the current term).
Complete the table.
Distance from school
Cost of supplies this term
Which variable should be the dependent variable and which should be the independent
variable? Why?
Graph “distance” vs. “cost.” Plot the points on the graph. Label both axes with
words. Scale both axes.
Analyze the data
Enter your data into your calculator or computer. Write the linear equation, rounding to four decimal places.
Calculate the following:
a = ______
b = ______
correlation = ______
n = ______
equation:
ŷ = ______
Is the correlation significant? Why or why not? (Answer in one to three complete sentences.)
Supply an answer for the following senarios:
For a person who lives eight miles from campus, predict the total cost of supplies this term:
For a person who lives eighty miles from campus, predict the total cost of supplies this term:
Obtain the graph on your calculator or computer. Sketch the regression line.
Discussion questions
Answer each question in complete sentences.
Does the line seem to fit the data? Why?
What does the correlation imply about the relationship between the distance and the cost?
Are there any outliers? If so, which point is an outlier?
Should the outlier, if it exists, be removed? Why or why not?
Wayne and Dennis like to ride the bike path from Riverside Park to the beach. Dennis’s speed is seven miles per hour faster than Wayne’s speed, so it takes Wayne 2 hours to ride to the beach while it takes Dennis 1.5 hours for the ride. Find the speed of both bikers.
from theory: distance [miles] = speed [mph] × time [hours]
info #1
speed_Dennis × 1.5 = speed_Wayne × 2
=> speed_Wayne = 0.75 × speed_Dennis (i)
info #2
speed_Dennis = speed_Wayne + 7 [mph] (ii)
use (i) in (ii) => [...]
speed_Dennis = 28 mph
speed_Wayne = 21 mph
George
Let W be Wayne's speed in miles per hour and D be Dennis's speed in miles per hour. We know that W + 7 = D and W * 2 = D * 1.5.
Substituting the first equation into the second:
W * 2 = (W + 7) * 1.5
W * 2 = W * 1.5 + 7 * 1.5
0.5 * W = 7 * 1.5
W = 7 * 3 or 21
W is 21
D = W + 7
D = 21 + 7
D = 28
Salma
Devon is 32 32 years older than his son, Milan. The sum of both their ages is 54 54. Using the variables d d and m m to represent the ages of Devon and Milan, respectively, write a system of equations to describe this situation. Enter the equations below, separated by a comma.
please why is it that the 0is in the place of ten thousand
Grace
Send the example to me here and let me see
Stephen
A meditation garden is in the shape of a right triangle, with one leg 7 feet. The length of the hypotenuse is one more than the length of one of the other legs. Find the lengths of the hypotenuse and the other leg
however, may I ask you some questions about Algarba?
Amoon
hi
Enock
what the last part of the problem mean?
Roger
The Jones family took a 15 mile canoe ride down the Indian River in three hours. After lunch, the return trip back up the river took five hours. Find the rate, in mph, of the canoe in still water and the rate of the current.
Shakir works at a computer store. His weekly pay will be either a fixed amount, $925, or $500 plus 12% of his total sales. How much should his total sales be for his variable pay option to exceed the fixed amount of $925.
I'm guessing, but it's somewhere around $4335.00 I think
Lewis
12% of sales will need to exceed 925 - 500, or 425 to exceed fixed amount option. What amount of sales does that equal? 425 ÷ (12÷100) = 3541.67. So the answer is sales greater than 3541.67.
Check:
Sales = 3542
Commission 12%=425.04
Pay = 500 + 425.04 = 925.04.
925.04 > 925.00
Munster
difference between rational and irrational numbers
Jazmine trained for 3 hours on Saturday. She ran 8 miles and then biked 24 miles. Her biking speed is 4 mph faster than her running speed. What is her running speed?