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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1) Which of these is a social goal of any economic system?
A) Economic Security
B) Production Standards
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Answers

Answer:

b

Explanation:

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Answers

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5. The cost of my school exercise book was Rs. 10. Now she has to pay Rs
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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]

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Answers

Answer:

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

Explanation:

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