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
Dmitry_Shevchenko [17]
2 years ago
8

Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​ lemon/crash data, wh

ere lemon imports are in metric tons and the fatality rates are per​ 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction​ worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15
Mathematics
1 answer:
kakasveta [241]2 years ago
8 0

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

  • The regression equation is; \underline{\overline y = -0.00255 \cdot \overline x + 16.47268}
  • The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.

Reasons:

First part;

The given data is presented as follows;

\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right]

The least squares regression equation is; \overline y =  b \cdot \overline x + c

Where;

b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}

\overline y = The mean crash fatality = 15.52

\overline x = The mean lemon import = 373.6

Therefore;

b = \dfrac{-171.36 }{67093.2 } = -0.00255

c = \overline y - b·\overline x = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

  • The regression equation is \underline{\overline y = -0.00255 \cdot \overline x + 16.47268}

Second part;

When the imports is 425 metric tons of lemon, we have;

\overline y = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

<u>The prediction is worthwhile</u>

Learn more about regression equation here:

brainly.com/question/5586207

You might be interested in
Tom’s Shirt Shop’s profit or loss for the last four months was –$1,200, +$8,500, –$950, and +$1,630. What was the total profit o
vekshin1
There is a profit of 7980
7 0
3 years ago
Read 2 more answers
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input the whole number
zmey [24]
106 hope this helps
5 0
3 years ago
Find (fxg)(a)?thanks !!
Ghella [55]

Answer:

12a^2+13a+3

explanation:

multiply:

(3a+1)(4a+3)=(fxg)

12a^2+13a+3

5 0
2 years ago
Roundup Racquets restrings tennis racquets for $22. If the store restrings 20 racquets each month, what is the monthly revenue f
ser-zykov [4K]

Answer:

The revenue would be $ 440

Step-by-step explanation:

Consider the correct complete question is,

"Roundup Rackets restrings a tennis racket for $22. If the store restrings 20 rackets each month, what is the monthly revenue from restringing rackets."

Thus,

The price for restrings each tennis racket = $ 22,

Number of rackets re stringed in a month = 20,

Hence, the monthly revenue = price of restrings each tennis racket × number of rackets re stringed

= 22 × 20

= $ 440

7 0
3 years ago
L is the midpoint of line segment KM. If KL = 2x - 3 and LM = x + 7. find the value of x.
tatyana61 [14]

Answer:

x = 10

Step-by-step explanation:

Since L is the midpoint

KL = LM

2x-3 = x+7

Subtract x from each side

2x-3-x = x+7-x

x-3 = 7

Add 3 to each side

x-3+3 = 7+3

x = 10

4 0
3 years ago
Read 2 more answers
Other questions:
  • 78 is 15% of what number? Solve using an equation. Show your work.
    5·1 answer
  • What is the area of the triangle?
    5·2 answers
  • PLZ HURRY NEED AN ASWER REALLY QUICK! HELP ME PLZ! WLL GIVE BRAILIEST + 20PTS! NO KIDDING PLZ GIVE ME AN ASWER QUICKLY!
    11·1 answer
  • Tape travels through a tape player at a speed of 0.048 meters per second how long is a tape that can play for 30 minuets
    5·1 answer
  • What is the derivative of this?<br><br> Dy/dx=x^2y+y^2x
    9·1 answer
  • PLEASE REMEMBER PUT THEM IN THE CORRECT ORDER
    13·2 answers
  • What’s the value of x ?
    7·1 answer
  • Helpppppppp pleaseeeee
    14·2 answers
  • What is the value of x?<br> (picture attached)
    6·1 answer
  • All squares are rectangles in if-then form​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!