Kittyhacker14idn
Answered

IDNLearn.com: Your one-stop destination for finding reliable answers. Ask anything and get well-informed, reliable answers from our knowledgeable community members.

The table shows the number of birds seen by a bird watcher for each day, where x is the temperature that day in degrees Celsius and y is the number of birds seen.


Question 2: What was the linear correlation coefficient and what does it indicate about the data? (Hint: what is r equal to)

The Table Shows The Number Of Birds Seen By A Bird Watcher For Each Day Where X Is The Temperature That Day In Degrees Celsius And Y Is The Number Of Birds Seen class=
The Table Shows The Number Of Birds Seen By A Bird Watcher For Each Day Where X Is The Temperature That Day In Degrees Celsius And Y Is The Number Of Birds Seen class=

Sagot :

The correlation coefficient indicates the strength of the relationship

between the variables.

Question 15;

  • The equation of best fit is; y = 0.83·X + 2.63

Question 2:

  • The linear correlation coefficient is R ≈ 0.9871
  • There is a strong correlation between the temperature and the number of bird seen.

Question 17:

  • Blank # 1: 18 birds
  • Blank # 2: Interpolation

Question 18:

  • Blank # 1: 4°C
  • Blank # 2: Extrapolation

Question 19:

  • The number of birds seen when the temperature is 30°C are 27 birds

Reasons:

Question 15

Plotting the given values of temperature, x and number of birds seen y on

MS Excel gives the equation of best fit for the data as follows;

  • Plot the given data using the Insert → Chart → Scatter plot option
  • Under the Chart design tab, select Add Chart Element.
  • Move the mouse down the drop down menu to the Trendline option
  • Select More Trendline Options from the Trendline menu

From the dialogue box that displays on the right select;

  • Display Equation on chart.
  • Display R-squared on chart.

The equation of best fit is; y = 0.83·X + 2.63

Question 2:

The square of the correlation coefficient, R² = 0.9744

Which gives, R = √(0.9744) ≈ 0.9871

The high positive value of the correlation coefficient indicates that there is a correlation between the temperature and the number of bird seen.

Question 17:

When the temperature is 19 degrees, we have;

The number of birds seen, y = 0.83 × 19 + 2.63 = 18.4

When the temperature is 19 °C, the number of birds seen are 18 birds.

Blank # 1: 18 birds

Blank # 2: Interpolate

Question 18:

When only 6 birds are seen, we have;

6 = 0.83·X + 2.63

[tex]X = \dfrac{6 - 2.63}{0.83} \approx 4.06[/tex]

When the number of birds seen is 6 birds, the temperature will be

approximately 4°C.

Blank # 1: 4°C

Blank # 2: Extrapolation; The values given and found are outside the given

range of values.

Question 19:

When the temperature is 30°C, we have;

y = 0.83 × 30 + 2.63 ≈ 27.53

The number of birds seen when the temperature is 30°C are 27 birds.

Learn more here:

https://brainly.com/question/16355498

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.