Question

3. Use the following table to answer questions (a – c).

x 1 2 3 4 7 8 10
y 1 3 6 2 9 6 7
b. Calculate the correlation coefficient.
c. Based on your calculation in part (b) describe the correlation between the
x and y. Explain your reasoning.

Answer 1

See below

Explanation:

B) The correlation coefficient is
`r=0.75`, which can be determined by plugging the data into a TI-84 calculator.

C) A correlation coefficient of
`r=0.75` indicates that the correlation between the independent and dependent variable (x and y in this case) is moderately strong with a positive correlation. The closer
`r` is to 1, the stronger the positive correlation. The closer
`r` is to -1, the stronger the negative correlation. If
`r` is closer to 0, then there's no correlation.