1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natasha2012 [34]
3 years ago
10

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

tives travel per month and the amount of sales (in thousands of dollars) per month. Find the equation of the regression line for the given data. Predict the value of sales when the sales representative travel 8 miles. Predict the value of sales when tthe sales representative traveled 11 miles.
Miles Traveled, x 2,3,10,7,8,15,3,1,11
Sales, y 31,33,78,62,65,61,48,55,120
Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =60

\sum_{i=1}^n y_i =553

\sum_{i=1}^n x^2_i =582

\sum_{i=1}^n y^2_i =39653

\sum_{i=1}^n x_i y_i =4329

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33

And the slope would be:

m=\frac{642.33}{182}=3.529

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44

And we can find the intercept using this:

b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91

So the line would be given by:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

You might be interested in
What is |3|? (Finding absolute values)
dlinn [17]

Answer:

3

Step-by-step explanation:

Whatever number you put between the | | will always come out as positive because of the absolute rule.

|3|=3

3 0
3 years ago
Read 2 more answers
How do you find slope
alisha [4.7K]

Step-by-step explanation:

Hi there!

To find slope you use the change of y over change of x formula. You first need to ordered pairs to plug into the equation.

Formula:

(Y1-Y2)/(X1-X2)

7 0
3 years ago
Read 2 more answers
HHHEEEEEELP PLEASE!!!! NEED ASAP!!!! HUUUURRRRYYYY
Monica [59]

Answer:

idk im dumb just like you dude


Step-by-step explanation:


4 0
2 years ago
$5000 at 6% for 9 months what is the balance
Kay [80]
I think it's suppose to go

6% is .06 divided by 12 which is .005 times the number of months so in this case 9 so 5,000 times .005 times 9 which is 225 so 5,000 plus an interest of 225 adds up to 5,225
8 0
3 years ago
Read 2 more answers
The price of sneakers reduced $6 per week for 7 weeks. By how much did the price of the sneakers change over 7 weeks?
mylen [45]

Answer:

7(-6)=-42

After 7 weeks the price will be reduced by 7 times $6

Thus the price will be $42

8 0
3 years ago
Other questions:
  • 2b. Jill and Alice each sold 40 pieces of
    8·1 answer
  • A rectangular garden has a perimeter of 48cm and an area of 140 sq. cm. what is the width of this garden
    9·1 answer
  • Estimate the difference of the decimals below by rounding to the nearest whole number 8.967 + 4.987 + 6.970= ?
    15·2 answers
  • If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
    9·2 answers
  • A box contains 11 ​transistors, 3 of which are defective. if 3 are selected at​ random, find the probability thata. all are defe
    13·1 answer
  • Help!! my homework is due tomorrow!!! I really need help on this question!!!!!​
    5·1 answer
  • Find the values for a and b that would make the following equation true (ax^2)(-6x^b)=12x^5
    6·1 answer
  • 5. Becca wants to edge her hexagonal garden
    7·1 answer
  • George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but
    6·2 answers
  • 3. The Statue of Liberty is 305 feet tall. Lisa has a replica that is 9 inches tall and the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!