1. Build a regression model to forecast the grape yield in your vineyard. Use the first 18 years to build the model and then forecast years 19 through 21. 2. Explain the meaning of the coefficients in your regression model in verbal terms. How well do you think the model fits the data?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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You are the owner of a vineyard in the Napa Valley of California. The yield from your vineyard, in tons of grapes per acre for the past 21 years, is shown in the last column
of the following table. Degree-days represent a cumulative measure of the number of degrees and days that the average temperature exceeds 50° (A day in which the
average temperature was 74°F would contribute 24 degree-days to the total; a day with 60°F would contribute 10 degree-days; any day with average temperature
below 50°F would contribute zero to the total.) The column labeled Freeze indicates if there are hard frost in that year (value = 1) or not (value - 0).
Degree-Days
Yield (tons per
Rainfall (inches)
Year
(hundreds)
Freeze
acre)
1
14.2
28.57
2.72
16.8
28.83
2.42
3
25.0
29.30
2.99
4
37.4
28.18
2.88
41.2
29.44
2.42
33.9
27.81
2.84
28.2
26.96
2.74
8
16.0
25.76
1.56
9
11.9
26.66
2.19
10
16.3
28.41
2.45
11
28.7
27.32
2.57
Transcribed Image Text:You are the owner of a vineyard in the Napa Valley of California. The yield from your vineyard, in tons of grapes per acre for the past 21 years, is shown in the last column of the following table. Degree-days represent a cumulative measure of the number of degrees and days that the average temperature exceeds 50° (A day in which the average temperature was 74°F would contribute 24 degree-days to the total; a day with 60°F would contribute 10 degree-days; any day with average temperature below 50°F would contribute zero to the total.) The column labeled Freeze indicates if there are hard frost in that year (value = 1) or not (value - 0). Degree-Days Yield (tons per Rainfall (inches) Year (hundreds) Freeze acre) 1 14.2 28.57 2.72 16.8 28.83 2.42 3 25.0 29.30 2.99 4 37.4 28.18 2.88 41.2 29.44 2.42 33.9 27.81 2.84 28.2 26.96 2.74 8 16.0 25.76 1.56 9 11.9 26.66 2.19 10 16.3 28.41 2.45 11 28.7 27.32 2.57
12
38.0
28.66
2.65
13
38.3
27.05
1.96
14
35.8
29.38
3.09
15
29.8
28.24
1.67
16
18.6
27.89
2.63
17
122
26.94
2.38
18
15.4
27.72
2.53
19
24.1
28.55
2.66
20
37.6
28.37
2.76
21
38.2
29.10
2.95
1. Build a regression model to forecast the grape yield in your vineyard. Use the first 18 years to build the model and then forecast years 19 through 21.
2. Explain the meaning of the coefficients in your regression model in verbal terms. How well do you think the model fits the data?
Transcribed Image Text:12 38.0 28.66 2.65 13 38.3 27.05 1.96 14 35.8 29.38 3.09 15 29.8 28.24 1.67 16 18.6 27.89 2.63 17 122 26.94 2.38 18 15.4 27.72 2.53 19 24.1 28.55 2.66 20 37.6 28.37 2.76 21 38.2 29.10 2.95 1. Build a regression model to forecast the grape yield in your vineyard. Use the first 18 years to build the model and then forecast years 19 through 21. 2. Explain the meaning of the coefficients in your regression model in verbal terms. How well do you think the model fits the data?
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