Question
The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks. Based on this data, consider the equation of the
The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks. Based on this data, consider the equation of the regression line,y^=b0+b1x, for using the completion percentage to predict the interception percentage for an NFL quarterback. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Completion Percentage:56, 58, 60, 61, 63
Interception Percentage:4.5, 3, 2.5, 2, 1
Step 1:Find the estimated slope.
Step 2: Find the estimated y-intercept
step 3: Determine if the statement is true or false "all points predicted by the linear model fall on the same line"
step 4: Find the estimated value of y when x=56
step 5: According to the estimated linear model, if the value of the independent variable is increased by one unit , then the change in the dependent variable y is given by?
step 6: Find the value of the coefficient of determination
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