For the x-y bivariate data pairs: x | 0.55 0.33 0.24 0.20 -0.34 0.57 0.41 0.14 y
ID: 3395594 • Letter: F
Question
For the x-y bivariate data pairs:
x | 0.55 0.33 0.24 0.20 -0.34 0.57 0.41 0.14
y | 0.68 0.78 0.66 0.34 -0.13 0.95 0.8 -0.12
a. Construct a scatterplot
b. Construct a box plot for the y-values
c. Find the value of the linear correlation coefficient r.
d. Test whether or not this correlation is significant at a 0.05 significance level.
e. Find the equation of the linear regression line.
f. Predict the value of y when x is 1.
g. Would you feel comfortable communicating this prediction to your boss?
h. Why or why not?
Please answer only G and H
Explanation / Answer
No.
This is because the coefficient of determination (multiple R-squared) is 0.7065. This value is not sufficiently high.
For a good regression model this alue should be very close to 1. Thus, the regression model used for prediction is not a good assumption.