Answer:
a) Generally, y increases as x increases
b) R = correlation coefficient = 0.7824
c) R² = 0.6121 so not a strong fit
Explanation:
The problem can be solved by using a scientific calculator which performs linear regression computations to find the best-fit line.
First enter the data from the scatter plot into a table with x and y values. Then compute
Using such a tool, the best fit line is as shown in the attached graph. The equation of the line is
Y = 0.6769*X + 1.067
The answers are
a. In general, y increases as x increases
b. The correlation coefficient of the best fit line is R² = 0.782
c. The R² value is 0.6121 which indicates that only 61.21 percent of the variation can be explained by the predictor variable x. Therefore it is not a great fit. The higher the R² value, the stronger the fit is. While the question of what is a good R² value depends a lot on the situation. In scientific studies for instance, one would expect an R² value close to 0.95 Here we are not given what the independent and dependent variables. But an R² value of 0.6121 does not indicate a strong fit
R² is also known as the coefficient of determination
Hope that helps you out