orate a comelation matia for the variablen EARNINGS, SCORE, DRIVE D EAndPUTSing M What is the cumlation contficient for EARNINGS and SCOREaterpet the inear elationahip betweem the two variables Comelation Coffient rpet de linear elationdip DI Does the comlation matis indicate a potential multicollineatity problem If which pairt of indepemdent variables ae acncem your anwer is state why.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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[9] Is there a variable that should be removed from the multiple regression model? If
so, which variable and why should it be removed?
[14] What are your conclusions for each of the independent variables in the model?
(Is the variable significant or not)
Variable
Download the file Golfejop Use JMP to develop a multiple linear regression model
to predict the Earnings/Event using the data found in Golfimp, Consider the four
independent variables listed in the table below. Find the best model and check
assumptions.
Use JMP the fit the full model (all of the independent variables). Include the
confidence interval and VIF for each of the regression parameters. Paste JMP output
p- value
Significant at the 0.05 level?
below. Include Summary of Fit, Analysis of Variance, and Parameter Estimates
[10] Fit a new multiple regression model with the remaining independent variables.
Summary of Fit, Analysis of Variance, and Parameter Estimates
[4] Summary of Fit, Analysis of Variance, and Parameter Estimates
EARNINGS Average Earnings per Event
[15] Do the values of Variable Inflation Factors indicate any potential problems for
this multiple regression? Why or why not?
SCORE
DRIVE D
DRIVE A
Average Score
Average Drive Distance
Average Drive Accuracy
Average Putts per Round
X2
X3
X PUTTS
[16] State and interpret the Confidence Interval for the estimate of the regression
coefficient of the independent variable SCORE.
[1] Create a correlation matrix for the variables EARNINGS, SCORE, DRIVE_D,
DRIVE_A, and PUTTS using JMP.
[11] What are your conclusions for each of the independent variables in the model?
(Is the variable significant or not)
Variable
[17] What proportion of the variability of EARNINGS is explained by the multiple
regression model. Interpret this value in terms of the problem.
p- value
Significant at the 0.05 level?
[5] State the null and alternative hypothesis statements for testing a multiple
regression model. (F-test)
[18] Copy and paste the Residual by Predicted Plot
[12] Is there a variable that should be removed from the multiple regression model? If
so, which variable and why should it be removed?
[6] What is your conclusion about the overall model?
[2] What is the correlation coefficient for EARNINGS and SCORE? Interpret the
linear relationship between the two variables.
[13] Fit a new multiple regression model with the remaining independent variables.
Summary of Fit, Analysis of Variance, and Parameter Estimates
Correlation
17] State the null and alternative hypothesis statements for testing the regression
coefficient of an independent variable. (t-test)
Interpret the linear relationship
Coefficient
[8] What are your conclusions for each of the independent variables in the model?
(Is the variable significant or not)
Variable
SCORE
DRIVE D
DRIVE A
PUTTS
[3] Does the correlation matrix indicate a potential multicollinearity problem? If so,
which pair(s) of independent variables are a concem? If your answer is no, state why.
[19] Describe the shape of the distribution. Does the residual by predicted plot
support the assumption of constant variance? (Is there an extreme change in the
variance?)
p- value
Significant at the 0.05 level?
Name
[20] Use the multiple regression model to estimate the earnings per event for a golfer
with an average score of 70 and an average of 32 putts per round. Compute a point
estimate and construct a 95% Confidence Interval for the Mean. Interpret the
confidence interval in terms of the problem.
Point estimate
Confidence Interval for the Mean
Interpretation of the
Confidence Interval for the Mean
Transcribed Image Text:[9] Is there a variable that should be removed from the multiple regression model? If so, which variable and why should it be removed? [14] What are your conclusions for each of the independent variables in the model? (Is the variable significant or not) Variable Download the file Golfejop Use JMP to develop a multiple linear regression model to predict the Earnings/Event using the data found in Golfimp, Consider the four independent variables listed in the table below. Find the best model and check assumptions. Use JMP the fit the full model (all of the independent variables). Include the confidence interval and VIF for each of the regression parameters. Paste JMP output p- value Significant at the 0.05 level? below. Include Summary of Fit, Analysis of Variance, and Parameter Estimates [10] Fit a new multiple regression model with the remaining independent variables. Summary of Fit, Analysis of Variance, and Parameter Estimates [4] Summary of Fit, Analysis of Variance, and Parameter Estimates EARNINGS Average Earnings per Event [15] Do the values of Variable Inflation Factors indicate any potential problems for this multiple regression? Why or why not? SCORE DRIVE D DRIVE A Average Score Average Drive Distance Average Drive Accuracy Average Putts per Round X2 X3 X PUTTS [16] State and interpret the Confidence Interval for the estimate of the regression coefficient of the independent variable SCORE. [1] Create a correlation matrix for the variables EARNINGS, SCORE, DRIVE_D, DRIVE_A, and PUTTS using JMP. [11] What are your conclusions for each of the independent variables in the model? (Is the variable significant or not) Variable [17] What proportion of the variability of EARNINGS is explained by the multiple regression model. Interpret this value in terms of the problem. p- value Significant at the 0.05 level? [5] State the null and alternative hypothesis statements for testing a multiple regression model. (F-test) [18] Copy and paste the Residual by Predicted Plot [12] Is there a variable that should be removed from the multiple regression model? If so, which variable and why should it be removed? [6] What is your conclusion about the overall model? [2] What is the correlation coefficient for EARNINGS and SCORE? Interpret the linear relationship between the two variables. [13] Fit a new multiple regression model with the remaining independent variables. Summary of Fit, Analysis of Variance, and Parameter Estimates Correlation 17] State the null and alternative hypothesis statements for testing the regression coefficient of an independent variable. (t-test) Interpret the linear relationship Coefficient [8] What are your conclusions for each of the independent variables in the model? (Is the variable significant or not) Variable SCORE DRIVE D DRIVE A PUTTS [3] Does the correlation matrix indicate a potential multicollinearity problem? If so, which pair(s) of independent variables are a concem? If your answer is no, state why. [19] Describe the shape of the distribution. Does the residual by predicted plot support the assumption of constant variance? (Is there an extreme change in the variance?) p- value Significant at the 0.05 level? Name [20] Use the multiple regression model to estimate the earnings per event for a golfer with an average score of 70 and an average of 32 putts per round. Compute a point estimate and construct a 95% Confidence Interval for the Mean. Interpret the confidence interval in terms of the problem. Point estimate Confidence Interval for the Mean Interpretation of the Confidence Interval for the Mean
EARNINGS
SCORE
DRIVE D
DRIVE_A
PUTTS
1
$239,493.68
70.37
288.4
60.2
31.824
2
$177,249.18
69.43
286.9
67.9
31.302
3
$218,619.18
70.23
276
71
31.806
4
$186,380.08
70.46
308.5
56.4
31.806
$209,511.75
69.78
282.9
68.5
31.428
$181,987.29
70.34
299.1
52.7
31.716
7
$162,536.13
69.92
287.8
65.2
31.68
8.
$174,534.95
70.25
277
62.4
31.518
9
$135,353.70
70.64
291.8
67.9
32.346
10
$212,540.82
69.93
294.2
61.3
31.554
11
$297,079.50
70.26
298.7
61.3
32.31
12
$168,904.45
69.96
291.4
64.8
31.788
13
$135,791.58
70.21
309.8
55.7
31.734
14
$133,695.52
70.53
289.1
64.8
31.86
15
$112,192.04
70.59
279.7
71.2
31.302
16
$215,121.67
70.22
292.4
60.1
32.292
17
$183,922.93
70.86
287.2
52
31.986
18
$150,251.76
70.94
300
62.6
32.31
19
$183,356.69
71.13
291.7
67.1
32.058
20
$130,274.35
71.53
286.8
62.7
32.472
21
$286,285.40
69.73
308.4
70.6
32.094
22
$72,708.05
70.79
292.1
56.7
31.5
23
$99,597.31
71.07
295.8
57.2
31.518
24
$85,557.56
71.1
290.4
69.3
31.95
Transcribed Image Text:EARNINGS SCORE DRIVE D DRIVE_A PUTTS 1 $239,493.68 70.37 288.4 60.2 31.824 2 $177,249.18 69.43 286.9 67.9 31.302 3 $218,619.18 70.23 276 71 31.806 4 $186,380.08 70.46 308.5 56.4 31.806 $209,511.75 69.78 282.9 68.5 31.428 $181,987.29 70.34 299.1 52.7 31.716 7 $162,536.13 69.92 287.8 65.2 31.68 8. $174,534.95 70.25 277 62.4 31.518 9 $135,353.70 70.64 291.8 67.9 32.346 10 $212,540.82 69.93 294.2 61.3 31.554 11 $297,079.50 70.26 298.7 61.3 32.31 12 $168,904.45 69.96 291.4 64.8 31.788 13 $135,791.58 70.21 309.8 55.7 31.734 14 $133,695.52 70.53 289.1 64.8 31.86 15 $112,192.04 70.59 279.7 71.2 31.302 16 $215,121.67 70.22 292.4 60.1 32.292 17 $183,922.93 70.86 287.2 52 31.986 18 $150,251.76 70.94 300 62.6 32.31 19 $183,356.69 71.13 291.7 67.1 32.058 20 $130,274.35 71.53 286.8 62.7 32.472 21 $286,285.40 69.73 308.4 70.6 32.094 22 $72,708.05 70.79 292.1 56.7 31.5 23 $99,597.31 71.07 295.8 57.2 31.518 24 $85,557.56 71.1 290.4 69.3 31.95
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