The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​ (a) through​ (d) below. Commute Time​ (minutes), x 5 20 30 35 60 84 105 ​Well-Being Index​ Score, y 69.3 68.1 67.3 67.2 66.0 65.6 64.0 a) Find the​ least-squares regression line treating the commute​ time, x, as the explanatory variable and the index​ score, y, as the response variable.

Answers

Answer 1

The​ least-squares regression line equation treating the commute​ time is y = -0.047x + 69.1

How to find the​ least-squares regression line treating the commute​ time?

From the question we have to treat, x, as the explanatory variable and the index​ score, y, as the response variable

So, we have the table of values to be:

x 5 20 30 35 60 84 105

y 69.3 68.1 67.3 67.2 66.0 65.6 64.0

Next, we enter the above values in a graphing calculator.

From the graphing calculator, we have the following calculation summary:

Sum of X = 339Sum of Y = 467.5Mean X = 48.4286Mean Y = 66.7857Sum of squares (SSX) = 7813.7143Sum of products (SP) = -370.4571

The regression equation is represented as

y = bx + a

Where

b = SP/SSX = -370.46/7813.71 = -0.04741

a = MY - bMX = 66.79 - (-0.05*48.43) = 69.08177

So, we have

y = -0.04741x + 69.08177

Approximate

y = -0.047x + 69.1

Hence, the​ least-squares regression line equation treating the commute​ time is y = -0.047x + 69.1

Read more about least-squares regression at

https://brainly.com/question/24309895

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Related Questions

Which coupon would you use on this chair: $20 off or 20% off. Why? Be as convincing as you can. *

Answers

Answer:20% off

Explanation:it comes out cheaper in the end

5. The cost of my school exercise book was Rs. 10. Now she has to pay Rs
the same exercise book for Rs. 12. Let's calculate the percentage increses
price of the excercise book​

Answers

Given :-

Cost of school exercise book was Rs. 10

Now , she had to pay Rs. 12 for it .

To Find :-

The increase percentage of price of that book .

Solution :-

[tex]\underline{\bf{\dag} \:\bold{As\;we\;know\: that\: :}}[/tex]

[tex]\sf Increase \% = \dfrac{(Value\;Increased)}{Initial\; Value} \times 100 \%[/tex]

According to the question,

→ Increase of Price = ( Rs. 12 - Rs. 10 )

  ⇒ Rs. 2

→ Initial Value  = Rs. 10

Let's solve by putting the values in the formula !

[tex]\sf \leadsto \dfrac{2}{10} \times 100 \%[/tex]

⇝2×10%

⇝20%

∴ The percent of increase in price of that school exercise book is 20 %

[tex]\huge\bf\maltese{\underline{\red{Thanks}}}\maltese[/tex]

1) Which of these is a social goal of any economic system?
A) Economic Security
B) Production Standards
Economic Homogeneity
D) State-provided Employment

Answers

Answer:

b

Explanation:

Production standard is a criterion or yardstick or benchmark. It is used for measuring the production of the company. Production standards are fixed for raw materials, production process, tools and equipment, workers, conditions of work, speed of work, quantity of output, quality of output, etc

Jeremy is looking for a lost paperclip in his room He divides his room into a set of 12-
inch by 12-inch squares and creates a search grid. Jeremy begins in the top left comer
and searches each square grid working his way across the room slowly and methodically.
Jeremy's step-by-step approach is an example of using

Answers

I am very strong and big and strong do you want to feel my muscles, btw Jeremy should just cop a new paper clip brodda

Determine whether the data set is a population or a sample. Explain your reasoning.
The soil contamination levels at 10 locations near a landfill.
Choose the correct answer below.

Answers

Hi, in order to answer the question I need a picture

) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this quest


could you also show your worrk plzz thanks help

Answers

Answer:

9 cows and 15 ducks

Explanation:

step 1: create a system of equations, using the variable c for cows and d for ducks.

step 2: solve for d in the first equation, then plug it into the second, so that we can solve for c.

step 3: solve for c

step 4: now that we know what c is, plug c back into the first equation, and solve for d

step 5: solve for d, which gives you 15 ducks. We found c in step 3, which is 9 cows.

how many movements can i make from a 30 squared rectangle if i can only move right and down?

Answers

gahh but uss in s by a Ik ba in s by iss sBriana

Decribe five factors that could have a negative impact on listening comprehension of pupils ​

Answers

Answer:

visual support

your overall listening time

knowledge of how sound merge or get reduce

concentration

your pronunciation and grammer

Explanation:

hope it will help you much..

During operations outside declared hostilities, you may delay contact with local authorities.

Answers

Answer:

Correct: during operations outside declared hostilities, you may delay contact with local authorities.

Explanation:

According to the United States Military Code of Conduct which outlines how its officers and enlisted members are to behave during their enlistment, engagement whether on the battlefield or not in combat and or in the event they become a prisoner of war (POW). This Code of conduct consists of six articles to members of the United States Armed Force which act as an ethics guide and directive.

According to elements of Article II of the Code of Conduct during operations outside declared hostilities, you may delay contact with local authorities.

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