Question

note:%20Your%20teacher%20will%20grade%20your%20responses%20to%20the%20follow%20questions%20to%20ensure%20you%20receive%20proper%20credit%20for%20your%20answers.%0AYou%20use%20a%20line%20of%20best%20fit%20for%20a%20set%20of%20data%20to%20make%20a%20prediction%20about%20an%20unknown%20value.%0AThe%20correlation%20coefficient%20for%20your%20data%20set%20is%0A-0.833.%20Can%20you%20be%20confident%20that%20your%20predicted%20value%20will%20be%20reasonably%20close%20to%20the%20actual%20value?%20Why%20or%20why%20not?

Answer 1

No, a correlation coefficient of -0.833 indicates a strong negative correlation between the variables in the data set. This means that as one variable increases, the other variable decreases. Since the data set is not positively correlated, using a line of best fit may not accurately predict an unknown value as the relationship between the variables is not linear. Therefore, you cannot be confident that your predicted value will be reasonably close to the actual value.