Math  /  Data & Statistics

QuestionUse the time/tip data from the table below, which includes data from New York City taxi rides. (The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars.) Find the regression equation, letting time be the predictor ( x ) variable. Find the best predicted tip for a ride that takes 22 minutes. How does the result compare to the actual tip amount of $5.05\$ 5.05 ? Use a significance level of 0.05 . \begin{tabular}{l|cccccccc} Distance & 1.02 & 0.68 & 1.32 & 2.47 & 1.40 & 1.80 & 8.51 & 1.65 \\ \hline Time & 8.00 & 6.00 & 8.00 & 18.00 & 18.00 & 25.00 & 31.00 & 11.00 \\ \hline Fare & 7.80 & 6.30 & 7.80 & 14.30 & 12.30 & 16.30 & 31.75 & 9.80 \\ \hline Tip & 2.34 & 1.89 & 0.00 & 4.29 & 2.46 & 1.50 & 2.98 & 1.96 \end{tabular}
The regression equation is y^=\hat{y}= \square ++ \square xx. (Round the yy-intercept to two decimal places as needed. Round the slope to four decimal places as needed.)

Studdy Solution
Compare the predicted tip to the actual tip of $5.05.
Determine if the predicted tip is significantly different from the actual tip using the significance level of 0.05.
The regression equation is:
y^=b0+b1x \hat{y} = \boxed{b_0} + \boxed{b_1}x
The predicted tip for a 22-minute ride is:
y^ \boxed{\hat{y}}
Comparison to the actual tip of $5.05:
Predicted Tip=y^,Actual Tip=5.05 \text{Predicted Tip} = \boxed{\hat{y}}, \text{Actual Tip} = 5.05

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