The table below gives the number of parking tickets received inone semester and the GPA for five randomly selected collegestudents who drive to campus. Using this data, consider theequation of the regression line, yˆ=b0+b1x, for predicting the GPAof a college student who drives to campus based on the number ofparking tickets they receive in one semester. Keep in mind, thecorrelation coefficient may or may not be statistically significantfor the data given. Remember, in practice, it would not beappropriate to use the regression line to make a prediction if thecorrelation coefficient is not statistically significant.
Number of Tickets 0 1 2 6 8
GPA 3.1 2.7 2.5 2.3 1.6
Step 1 of 6:
Find the estimated slope. Round your answer to three decimalplaces.
Step 2 of 6:
Find the estimated y-intercept. Round your answer to threedecimal places.
Step 3 of 6:
Determine the value of the dependent variable yˆy^ atx=0x=0.
Step 4 of 6:
According to the estimated linear model, if the value of theindependent variable is increased by one unit, then the change inthe dependent variable yˆy^ is given by?
Step 5 of 6:
Determine if the statement \"All points predicted by the linearmodel fall on the same line\" is true or false.
Step 6 of 6:
Find the value of the coefficient of determination. Round youranswer to three decimal places.