what would be the error (i.e., residual) in the predicted fuel consumption at this speed found with the regression line?
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Researchers record the fuel consumption of a car yy (in miles per gallon) at various speeds \(x\) (in miles per hour). Using software, they determine that the regression line of their data is
y^=70.243−0.0269x
If the observed fuel consumption of the car was \(y = 49\) mpg while moving at a speed of \(x = 20\) mph, what would be the error (i.e., residual) in the predicted fuel consumption at this speed found with the regression line? Round your answer to three decimal places.
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- If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: Y=ax+b a= -0.921 b= 39.616 r^= 0.483025 r= -0.695 Use this to predict the number of situps a person who watches 11.5 hours of TV can do (to one decimal place)A regression line for a set of data is calculated and found to be y^=85+12x. Use this to predict a value of y when x= 0.
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- The line of best fit through a set of data isˆy=−35.159+0.967xy^=-35.159+0.967xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 20?ˆy=y^= Round to 1 decimal place.A carpenter wanted to predict how many pieces of furniture they could produce in a certain time frame. They calculated a linear regression equation and obtained the following results:Using these results how many pieces can they create in 5 hours? y^=2x+2The equation of the regression line is Y^=50000+(−500)X. Where is the observed value in relation to the regression line? A financial education time of 29 hours is found to result in a amount of debt of 35500 dollars. What is the predicted amount of debt? Where is the observed value in relation to the regression line? A financial education time of 31 hours is found to result in a amount of debt of 36551 dollars. What is the predicted amount of debt? Where is the observed value in relation to the regression line? A financial education time of 22 hours is found to result in a amount of debt of 38591 dollars. What is the predicted amount of debt? Where is the observed value in relation to the regression line? dollars dollars
- In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first test. The equation as ˆ y = 14 + 0.5 x y ^ = 14 + 0.5 x where y is the final-exam score and x is the score on the first test. Andrea scored 75 on the first test. What is the predicted value of the Andrea's score on the final exam? Andrea scored 56.5 on the final exam. What is the value of the residual?For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded.The 30 paired ages yield x¯ = 52.1 years, y¯ = 37.3 years, r = 0.076, P-value = 0.691, and y^ = 33.4 + 0.0587x. Explain thoroughly the slope and the intercept of the Regression Equation of the line.In the regression equation, Y' = -bx + a, the slope is positive. True or False
