The table below gives the completion percentage and interceptionpercentage for five randomly selected NFL quarterbacks. Based onthis data, consider the equation of the regression line, y^=b0+b1x,for using the completion percentage to predict the interceptionpercentage for an NFL quarterback. Keep in mind, the correlationcoefficient may or may not be statistically significant for thedata given. Remember, in practice, it would not be appropriate touse the regression line to make a prediction if the correlationcoefficient is not statistically significant.
| Completion Percentage | 58 | 60 | 61 | 62 | 65 |
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| Interception Percentage | 5 | 4.5 | 3.5 | 3 | 2.5 |
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a) Find the estimated slope. Round your answer to three decimalplaces.
b) Find the estimated y-intercept. Round your answer to threedecimal places.
c) Determine if the statement \"All points predicted by thelinear model fall on the same line\" is true or false.
d) Find the estimated value of y when x=55.9. Round your answerto three decimal places.
e) According to the estimated linear model, if the value of theindependent variable is increased by one unit, then the change inthe dependent variable y^ is given by?
f) Find the value of the coefficient of determination. Roundyour answer to three decimal places.
