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
Akimi4 [234]
3 years ago
13

A 2-column table with 6 rows. The first column is labeled miles driven with entries 27, 65, 83, 109, 142, 175. The second column

is labeled gallons in tank with entries 13, 12, 11, 10, 9, 8. Janelle tracks the number of miles she drives and the number of gallons of gas she has left. What is the linear regression model for this scenario? What is the correlation coefficient? What is the strength of the model?

Mathematics
2 answers:
prisoha [69]3 years ago
8 0

Answer:

linear regression answer : y = -0.035x + 13.989

correlation coefficient : -0.996

strength : strong negative

Step-by-step explanation:

trust me bro i know its right

Helen [10]3 years ago
5 0

Answer:

1) The linear regression model is y = -0.0348·x + 13.989

2) The correlation coefficient is -0.0725

3) The strength of the model is strong - association

Step-by-step explanation:

1)

                         X            Y          XY       X²

                         27            13           351          729

                         65             12          780         4225

                         83              11          913         6889

                         109            10          1090      11881

                         142            9            1278     20164

                         175              8           1400      30625

                ∑      601              63 5812 74513

From y = ax + b, we have

a = \frac{n\sum xy - \sum x\sum y }{n\sum x^{2}-\left (\sum x  \right )^{2}} = \frac{6 \times 5812  - 601 \times 63}{6 \times 74513-601^{2}} = - 0.0348

b = 1/n(∑y -a∑x) = 1/6(63 - (0.0348)×601) = 13.989

Therefore, the linear regression model is y = -0.0348·x + 13.989

2)

r = \frac{n\sum xy - \sum x\sum y }{\sqrt{[n\sum x^{2}-\left (\sum x  \right )^{2}] [n\sum y^{2}-\left (\sum y  \right )^{2}]}}  = \frac{6 \times 5812  - 601 \times 63}{\sqrt{[6 \times 74513-601^{2}] [6  \times 3969 - 63^2]} } = - 0.0725

3) The strength is - association.

You might be interested in
G-GPE-S & G-GPE-7: Practice_2
mezya [45]

The required equation is y = -9

Step-by-step explanation:

Step 1 :

Given the line l is perpendicular to the y axis

The equation of the y axis is x = 0

So any line perpendicular to the y axis will have equation as y = k , where k is a constant value for any value of x

Step 2 :

Its given that the line is passing through the point  (0.-9). Here the y co ordinate is -9. Hence the perpendicular line has a constant y co ordinate of y = -9 for any value of x

So the required equation is y = -9

Step 3 :

Answer :

The required equation is y = -9

6 0
3 years ago
Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet
ipn [44]

Answer:

Length = 3

Width = 7

Step-by-step explanation:

The perimeter is 20 feet

The area is 21 feet

Let x represent the length

Let y represent the width

20 = 2(x+y)

x+y= 20/2

x+y = 10.........equation 1

x × y= 21......equation 2

From equation 1

x= 10-y

Substitute 10-y for x in equation 2

(10-y)y= 21

10y - y^2 = 21

y^2 -10y + 21= 0

After factorization the result will be

(x-3)(y-7)

x-3= 0

x= 0+3

x= 3

y-7= 0

y= 0+7

y= 7

Hence the length is 3 and the width is 7

6 0
3 years ago
What is the simplified form of this expression, written in scientific notation? (3.276×105)×400,000÷(3.9×106)
vlada-n [284]
(343.98)x400,000/(413.4)
137,592,000/413.4
332,830.188679
3 0
3 years ago
Read 2 more answers
Simplify the rational expression. State any restrictions on the variable.
natulia [17]

Answer:

t+4, t≠8

Step-by-step explanation:

\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4

The value of t must not be one that makes the denominator zero, hence must not be 8.

8 0
3 years ago
Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour?
Lerok [7]

Answer:

$16.50

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • The value of a share of stock decreases in value at a rate of $1.70 per hour during the first 6.5 hours of trading. Enter and so
    14·1 answer
  • Which two consecutive whole numbers does StartRoot 39 EndRoot lie between? Why? 5 and 6 because 39 falls between 52 = 25 and 62
    12·2 answers
  • G(t)=t^3-5t^2 <br> h(t)=-t+5 find <br> (g/h)(t)<br><br> Please help <br> 50pts who ever gets it
    12·2 answers
  • Why a golf ball is heavier than a table-tennis ball
    9·2 answers
  • ( Will give Brainliest) Please Helpp
    11·1 answer
  • What is the inverse of f(x)=4x+3 ?
    7·1 answer
  • What do you add to 4 4/9 to make 8
    11·1 answer
  • Rewrite 45 + 60 using the distributive property.
    12·2 answers
  • The answer to which situation is best estimated
    15·1 answer
  • The tree diagram represents an
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!