Question

For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation...

For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation coefficient​ r, and​ (c) make a conclusion about the type of correlation. The ages​ (in years) of 6 children and the number of words in their vocabulary. ​(b) The correlation coefficient r is nothing. ​(Round to three decimal places as​ needed.) ​(c) Which of the following best describes the type of correlation that exists between age and vocabulary​ size? A. Weak positive linear correlation B. No linear correlation C. Strong positive linear correlation D. Strong negative linear correlation E. Weak negative linear correlation

Age, x   Vocabulary size, y
1   100
2   1050
3   1400
4   1300
5   2100
6   2500

Homework Answers

Answer #1
X Y X * Y X2 Y2
1 100 100 1 10000
2 1050 2100 4 1102500
3 1400 4200 9 1960000
4 1300 5200 16 1690000
5 2100 10500 25 4410000
6 2500 15000 36 6250000
Total 21 8450 37100 91 15422500


r = 0.958

There is positive correlation between variable X and Y.

C. Strong positive linear correlation

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation coefficient​ r, and​ (c) make a conclusion about the type of correlation. The ages​ (in years) of six children and the number of words in their vocabulary Age, x Vocabulary size, y 1 300 2 700 3 1000 4 1450 5 2100 6 2400 make a scatter plot based on this ​(b) The correlation coefficient r is ____? ​(Round to three decimal places as​...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation coefficient​ r, and​ (c) make a conclusion about the type of correlation. The ages​ (in years) of six children and the number of words in their vocabulary Choose the correct scatter plot ​(b) The correlation coefficient r is ____ ​(Round to three decimal places as​ needed.) ​(c) Which of the following best describes the type of correlation that exists between age and vocabulary​ size?...
The ages​ (in years) of 6 children and the number of words in their vocabulary Age,...
The ages​ (in years) of 6 children and the number of words in their vocabulary Age, x 1 2 3 4 5 6    Vocabulary size, y 1050 1050 1050 1300 1800 2200 For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation coefficient​ r (c) make a conclusion about the type of correlation.
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the sample...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the sample correlation coefficient​ r, and​ (c) make a conclusion about the type of correlation. Use technology. The maximum weights​ (in kilograms) for which one repetition of a half squat can be performed and the times​ (in seconds) to run a​ 10-meter sprint for 12 international soccer players are shown in the attached data table. Maximum_Weight,_x   Time,_y 170 1.78 175 1.75 150 2.04 210 1.42 150...
For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) by​ hand,...
For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) by​ hand, compute the correlation​ coefficient, and​ (c) determine whether there is a linear relation between x and y. x   y 2   4 4   8 6   12 6   12 7   20 Data set x 22 44 66 66 77 y 44 88 1212 1212 2020 Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10...
For each of the following data sets, choose the most appropriate response from the choices below...
For each of the following data sets, choose the most appropriate response from the choices below the table. Data Set #1 Data Set #2 x y x y 10 18 -22 92 13 12 -19 85 18 8 -16 71 24 2 -13 75 27 0 -10 68 32 4 -7 69 21 7 -5 66 41 13 0 62 45 17 2 59 a. A strong positive linear relation exists a. A strong positive linear relation exists b. A...
DATA SET x y 2.1 3.9 3.8 1.3 2.9 3.6 4.7 4.9 (a) Draw a scatter...
DATA SET x y 2.1 3.9 3.8 1.3 2.9 3.6 4.7 4.9 (a) Draw a scatter diagram of the data. Compute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data is____________ (b) Draw a scatter diagram of the data with the additional data point(10.4,9.3). Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the pieces of data is_________ Comment on the effect the additional data point has on the...
For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the...
For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the correlation​ coefficient, and​ (c) determine whether there is a linear relation between x and y. LOADING... Click the icon to view the data set. LOADING... Click the icon to view the critical values table. ​(a) Draw a scatter diagram of the data. Choose the correct graph below. A. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0...
Examining two variables, suppose that you calculate the correlation coefficient to be equal to 0.14. How...
Examining two variables, suppose that you calculate the correlation coefficient to be equal to 0.14. How would you best describe this correlation? A. Weak positive correlation B. Strong negative correlation C. Strong positive correlation D. Weak negative correlation
Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type...
Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box.   1. ?= −.15   2. ?= .92   3. ?= −.97 4. r= -1 The regression line is the straight line that bests fits a set of data points according to what? A. Most accurate regression criterion B. Least-squares criterion. C. Greatest-squares criterion D. None of the above   4. ?=−1 A. a strong negative relationship between ? and ? B....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • What political and economic roles have Japan and the United States played in Southeast Asia in...
    asked 49 seconds ago
  • What does the function split do? Explain with an example. ​ ​ def split(L, first): return...
    asked 1 minute ago
  • Code a simple Editor class with 2 constructors (one default, one with a string for a...
    asked 17 minutes ago
  • Using a greedy algorithm solve the following instance of Interval Scheduling {(2,12),(1,7),(3,5),(8,10),(7,14),(9,16),(10,14),(12,13),(17,22),(13,14),(15,20),(14,18),(20,30),(22,25),(26,27),(25,29),(24,31)}
    asked 22 minutes ago
  • * Write a Java program that calculates and displays the Fibonacci numbers * First prompt the...
    asked 42 minutes ago
  • Brownie Company sponsors a defined benefit pension plan for its employees. On January1, 2020, the following...
    asked 50 minutes ago
  • A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies...
    asked 1 hour ago
  • consider the information about the economy of Pakistan note that the currency of Pakistan is the...
    asked 1 hour ago
  • You arrive at your car and find that your meter has expired and you have gotten...
    asked 1 hour ago
  • 6.) please answer and explain thoroughly. Arrange the following atoms in order of increasing size: a.)...
    asked 2 hours ago
  • A solid wood door 1.00 m wide and 2.00 m high is hinged along one side...
    asked 2 hours ago
  • Problem 8-31 Comprehensive problem-calculate missing amounts, dividends, total shares, and per share information LO 1, 2,...
    asked 3 hours ago