Question

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 2.05

185 1.62

185 1.72

160 1.91

190 1.59

180 1.65

165 1.96

165 1.89

**(b) The correlation coefficient r is**

**(c) make a conclusion about the type of
correlation**

Answer #1

X | y | (x-xbar)^2 | (y-ybar)^2 | (x-xbar)(y-ybar) |

170 175 150 210 150 185 185 160 190 180 165 165 |
1.78 1.75 2.04 1.42 2.05 1.62 1.72 1.91 1.59 1.65 1.96 1.89 |
14.062 Sum: 3356.250 |
0.000 Sum: 0.415 |
0.006 Sum: -36.375 |

1) scatter plot

2) correlation coefficient

∑ x= 2085

Mean = 173.75

∑(X - Mx)2 = SSx = 3356.25

*Y Values*

∑y = 21.38

Mean = 1.782

∑(Y - My)2 = SSy = 0.415

*X and Y Combined*

*N* = 12

∑(X - Mx)(Y - My) = -36.375

*R Calculation*

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -36.375 / √((3356.25)(0.415)) = -0.9752

3) there is strong negative relation between x and y.

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...

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?...

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...

El toro grande restaurant advertises that customers will have
their orders taken with three minutes of being seated. Management
wants to monitor average times, as it is such an important
guarantee for business. Construct x? - and s-charts for the data
given in the worksheet pro07-05 in the ch07data.xlsx file for this
chapter.
a. compute the sample means and the average standard deviation,
calculate the control limits, and plot them on control charts.
b. does the process appear to be...

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