In a study to determine the relationship between ambient outdoor temperature and the rate of evaporation of water from soil, measurements of average daytime temperature in °C and evaporation in mm/day were taken for 40 days. The results are shown in the following table. Temp. Evap. Temp. Evap. Temp. Evap. Temp. Evap. 11.8 2.4 11.8 3.8 18.6 3.5 14.0 1.1 21.5 4.4 24.2 5.0 25.4 5.5 13.6 3.5 16.5 5.0 15.8 2.6 22.1 4.8 25.4 5.1 23.6 25.4 22.6 4.1 26.8 8.0 4.8 17.7 2.0 19.1 6.0 24.8 5.4 3.2 24.7 5.7 21.6 5.9 26.2 4.2 24.4 5.1 24.3 4.7 31.0 4.8 14.2 4.4 15.8 3.3 25.8 5.8 22.3 23.2 18.9 3.0 14.1 2.2 4.9 28.3 5.8 24.2 7.1 30.3 5.7 7.4 29.8 7.8 19.1 1.6 15.2 1.2 19.7 3.3 26.5 5.1 Estimate the parameters (ßo = y-intercept and B1 = slope) of the least square line for predicting evaporation (y) from temperature (x). b. Compute the 95% confidence intervals for Bo and ß1. c. Predict the evaporation rate when the temperature is 20°C.

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In a study to determine the relationship between ambient outdoor temperature and the
rate of evaporation of water from soil, measurements of average daytime temperature in °C and
evaporation in mm/day were taken for 40 days. The results are shown in the following table.
Temp.
Evap.
Temp.
Evap.
Temp.
Evap.
Temp.
Evap.
11.8
2.4
11.8
3.8
18.6
3.5
14.0
1.1
21.5
4.4
24.2
5.0
25.4
5.5
13.6
3.5
16.5
5.0
15.8
2.6
22.1
4.8
25.4
5.1
23.6
4.1
26.8
8.0
25.4
4.8
17.7
2.0
24.8
24.7
24.3
19.1
6.0
5.4
22.6
3.2
5.7
21.6
5.9
26.2
4.2
24.4
5.1
4.7
31.0
4.8
14.2
4.4
15.8
3.3
25.8
5.8
3.0
7.1
18.9
14.1
2.2
22.3
4.9
28.3
5.8
24.2
30.3
5.7
23.2
7.4
29.8
7.8
19.1
1.6
15.2
1.2
19.7
3.3
26.5
5.1
Estimate the parameters (Bo = y-intercept and ß1 = slope) of the least square line for
predicting evaporation (y) from temperature (x).
b. Compute the 95% confidence intervals for ßo and ß1.
Predict the evaporation rate when the temperature is 20°C.
а.
с.
Transcribed Image Text:In a study to determine the relationship between ambient outdoor temperature and the rate of evaporation of water from soil, measurements of average daytime temperature in °C and evaporation in mm/day were taken for 40 days. The results are shown in the following table. Temp. Evap. Temp. Evap. Temp. Evap. Temp. Evap. 11.8 2.4 11.8 3.8 18.6 3.5 14.0 1.1 21.5 4.4 24.2 5.0 25.4 5.5 13.6 3.5 16.5 5.0 15.8 2.6 22.1 4.8 25.4 5.1 23.6 4.1 26.8 8.0 25.4 4.8 17.7 2.0 24.8 24.7 24.3 19.1 6.0 5.4 22.6 3.2 5.7 21.6 5.9 26.2 4.2 24.4 5.1 4.7 31.0 4.8 14.2 4.4 15.8 3.3 25.8 5.8 3.0 7.1 18.9 14.1 2.2 22.3 4.9 28.3 5.8 24.2 30.3 5.7 23.2 7.4 29.8 7.8 19.1 1.6 15.2 1.2 19.7 3.3 26.5 5.1 Estimate the parameters (Bo = y-intercept and ß1 = slope) of the least square line for predicting evaporation (y) from temperature (x). b. Compute the 95% confidence intervals for ßo and ß1. Predict the evaporation rate when the temperature is 20°C. а. с.
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