Below is a data for rainfall and runoff volume in Marfa Texas Rainfall 5 12 14 17 23 30 40 47 Run off 14 10 13 15 15 25 27 26 Rain fall 55 67 72 81 96 112 127 Run off 38 46 53 70 82 99 100 a. Build a linear regression model. b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the residuals sauared?

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Please solve d to f parts of this question

Below is a data for rainfall and runoff volume in Marfa Texas
Rainfall
12
14
17
23
30
40
47
Run off
4
10
13
15
15
25
27
26
Rain fall
55
67
72
81
96
112
127
Run off
38
46
53
70
82
99
100
a. Build a linear regression model.
b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the
residuals squared?
c. What is the total variance of the runoff volume? What proportion of the observed variation of runoff volume can be
attributed to the linear relationship between rainfall and run off?
d. Plot the residuals vs rainfall. Make a histogram of the residuals. What does it tell you?
e. What is your 95% confidence interval for runoff the average day that rainfall volume is 40?
f. What is your 95% confidence interval for runoff for a specific day that rainfall volume is 40?
Transcribed Image Text:Below is a data for rainfall and runoff volume in Marfa Texas Rainfall 12 14 17 23 30 40 47 Run off 4 10 13 15 15 25 27 26 Rain fall 55 67 72 81 96 112 127 Run off 38 46 53 70 82 99 100 a. Build a linear regression model. b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the residuals squared? c. What is the total variance of the runoff volume? What proportion of the observed variation of runoff volume can be attributed to the linear relationship between rainfall and run off? d. Plot the residuals vs rainfall. Make a histogram of the residuals. What does it tell you? e. What is your 95% confidence interval for runoff the average day that rainfall volume is 40? f. What is your 95% confidence interval for runoff for a specific day that rainfall volume is 40?
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