The following estimated regression equation based on 10 observations was presented. ŷ = 29.1270 + 0.7906x1 + 0.3980x2 (a) Develop a point estimate of the mean value of y when x1 = 190 and x2 = 350. (b) Develop a point estimate for an individual value of y when x1 = 190 and x2 = 350.
The following estimated regression equation based on 10 observations was presented. ŷ = 29.1270 + 0.7906x1 + 0.3980x2 (a) Develop a point estimate of the mean value of y when x1 = 190 and x2 = 350. (b) Develop a point estimate for an individual value of y when x1 = 190 and x2 = 350.
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Question
The following estimated regression equation based on 10 observations was presented.
ŷ = 29.1270 + 0.7906x1 + 0.3980x2
(a)
Develop a point estimate of the mean value of y when
x1 = 190 and x2 = 350.
(b)
Develop a point estimate for an individual value of y when
x1 = 190 and x2 = 350.
(2)
The admissions officer for a certain college developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high school GPA.
ŷ = −1.38 + 0.0234x1 + 0.00482x2
where
x1 | = | high-school grade point average |
x2 | = | SAT mathematics score |
y | = | final college grade point average. |
(a)
Interpret the coefficients in this estimated regression equation.
(b)
Predict the final college GPA for a student who has a high-school average of 83 and a score of 530 on the SAT mathematics test.

Transcribed Image Text:A statistical program is recommended.
Data contained in the DATAfile named PGADriving Dist was used to develop an estimated regression equation to predict the average number of yards per drive given the ball speed and the launch
angle.t
(a) Does the estimated regression equation provide a good fit to the data? Explain. (Round your answers to four decimal places.)
Since R²
are ---Select---
the estimated regression equation |---Select---
=
2
and Ra
=
a good fit.
(b) An estimated regression equation was developed using only ball speed to predict the average number of yards per drive. Compare the fit obtained using just ball speed to the fit obtained using
ball speed and the launch angle. (Round your answers to two decimal places.)
The value of R² indicates that using just ball speed can account for
% of the variability in total distance. The addition of launch angle ---Select--- the percentage to
Therefore, the estimated regression equation using both ball speed and launch angle |---Select--- provide better predictions.
%
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