Q1 ( Image 1 )
Given
Parameter | Std. Err. | DF |
Intercept | 0.29803828 | 15 |
Slope | 0.065672563 | 15 |
Regression equation is
Predicted Free Throws = -0.3604 + 0.4833 ( Feild goals )
Let y - Free Throws and x - Feild goals
Then Regression equation is given by
= -0.3604 + 0.4833 * x
Estimate of intercept and slope are
Intercept a = -0.3604
Slope b = 0.4833
i)
Estimate of slope can be interpreted as , for every one unit increament in independent variable x , there will be increament of b=0.4833 in dependent variable y .
Hence correct option is
Option B.) For every additional feild goal made we predict number of free throw made to increase , on average , ny 0.4833
ii)
Jerebko averaged 2.2 feild goals and 0.9 free throws
hence x = 2.2 and y = 0.9
So observed value is 0.9
Now predicted free throws are
= -0.3604 + 0.4833 * x
= -0.3604 + 0.4833 * 2.2
= 0.70286
Residual is given by difference between observed value and predicted value of dependent variable (here free throws)
Residual = y -
= 0.9 - 0.70286 = 0.19714
Residual = 0.19714
Since Here observed value y = 0.9 which is greater that
predicted value
= 0.70286 , we can say that he made more free throws than
predicted
So correct option is
Jonas Jerebko has a residual of 0.19714 , indicating that
option D) indicating that he made more free throws than predicted
Q2 ( Image 2)
Average life span of women
1 = 80.7
Average life span of men
2 = 76.2
Given DF= 312.7 and standard error SE = 2.659
We want to test the difference in order women-men i.e
1-
2
Test statistics TS value is given by
TS =
=
= 1.692366
1.692
TS = 1.692
So calculated test statistics value is 1.692
A basketball enthusiast collected data on the scoring statistics of the 2018-2019 Golden State Warriors. He...
A basketball enthusiast collected data on the scoring statistics of the 2018-2019 Golden State Warriors. He wanted to know if he could use Field Goals Made (FGM) to predict Free Throws Made (FTM). He ran a regression analysis and created the following regression equation and supplementary material. Assume that all the conditions are met. Parameter Std. Err. DF Intercept 0.28903828 15 Slope 0.065672563 15 Predicted Free Throws = -0.3604 + 0.4833(Field Goals) a) Interpret the slope of the regression equation....
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