HazelCake
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I need help. Attached are pictures of the questions. Very lost. Answers ASAP please.
"The table shows latitudes and average temperatures for several cities. Use your calculator to find an equation for a line of best fit. Round your values to the nearest hundredth. Solve this equation to find the temperature in Panama City, Panama (rounded to the nearest whole number), then identify and interpret the correlation coefficient.

City Latitude Average Temperature (°F)
Calgary, Alberta 51.0°N 24
Munich, Germany 48.1°N 26
Marseille, France 43.2°N 29
St. Louis, Missouri 38.4°N 34
Seoul, South Korea37.3°N 36
Tokyo, Japan 35.4°N 38
New Delhi, India 28.4°N 43
Honululu, Hawaii 21.2°N 52
Bangkok, Thailand 14.2°N 58
Panama City 8.6°N ?

The equation is y = .

The temperature in Panama City, Panama should be around ____
degrees Fahrenheit.

The correlation coefficient r is close to -1 OR close to -0.5 , which indicates a strong correlation OR a weak correlation.

Respuesta :

MrEquation
Answer: One possible equation is: y = -0.86x + 67.3, that would make the temperature in Panama City 59.9 degrees.

To find a line of best fit, you can select 2 points. Then, find the equation between them.

I choose the points (48.1, 26) and (28.4, 43). The slope between them is -0.86 and the y-intercept would be 67.3. Put those two parts together and you have the equation.

You can also use an online calculator to find the best possible line.
MrRoyal

The true statements are:

  • The equation of the line of best fit is: [tex]y = -0.94647x + 71.13574[/tex]
  • The temperature in Panama City, Panama should be around 63 degrees Fahrenheit.
  • The correlation coefficient r is close to -1, which indicates a strong correlation

To determine the equation of the line of best fit, we make use of a graphing calculator.

From the calculator, we have the following calculation summary:

  • Sum of X = 317.2
  • Sum of Y = 340
  • Mean X = 35.2444
  • Mean Y = 37.7778
  • Sum of squares (SSX) = 1177.9622
  • Sum of products (SP) = -1114.9111
  • The value of R is -0.997.

So, the equation of the line of best fit is:

[tex]y = -0.94647x + 71.13574[/tex]

Substitute 8.6 for x to calculate the temperature of Panama City

[tex]y = -0.94647*8.6 + 71.13574[/tex]

[tex]y = 62.996098[/tex]

Approximate

[tex]y \approx 63[/tex]

This means that the temperature in Panama City, Panama should be around 63 degrees Fahrenheit.

Also, the correlation coefficient r is close to -1, which indicates a strong correlation

Read more about correlation at:

https://brainly.com/question/6500301

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