An article in Air and Waste ("Update on Ozone Trends in California's South Coast Air Basin," Vol. 43, 1993) studied the ozone levels on the South Coast air basin of California for the years 1976-1991. The author believes that the number of days that the ozone exceeds 0.20 parts per million depends on the seasonal meteorological index (the seasonal average 850 millibar temperature). The data follow: Year Days Index 1976 91 16.3 17.1 1977 105 1978 106 18.2 1979 108 18.1 1980 88 17.2 1981 91 18.2 1982 58 16.0 1983 82 17.2 Year Days Index 1984 82 17.7 1985 65 17.2 1986 61 16.9 1987 48 17.1 1988 61 18.2 1989 43 17.3 1990 33 17.5 1991 36 16.6 Round your answers to 2 decimal places. (a) Fit a simple linear regression model to the data. Test for significance of regression using a = 0.05. y = i Calculate fo: i + i Is the simple linear regression model significant? No. (b) Calculate a 95% confidence interval on the slope. ≤B₁ ≤i X

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An article in Air and Waste ("Update on Ozone Trends in California's South Coast Air Basin," Vol. 43, 1993) studied the ozone levels
on the South Coast air basin of California for the years 1976-1991. The author believes that the number of days that the ozone
exceeds 0.20 parts per million depends on the seasonal meteorological index (the seasonal average 850 millibar temperature). The
data follow:
Year Days Index
16.3
1976 91
1977 105 17.1
1978 106 18.2
1979 108 18.1
1980 88
17.2
1981 91
18.2
1982 58
16.0
1983 82 17.2
Round your answers to 2 decimal places.
(a) Fit a simple linear regression model to the data. Test for significance of regression using a = 0.05.
y = i
Calculate fo: i
Year Days Index
1984 82
17.7
1985 65
17.2
1986 61
16.9
1987
48
17.1
1988 61
18.2
1989 43 17.3
1990 33 17.5
1991 36
16.6
i
+ i
Is the simple linear regression model significant? No.
(b) Calculate a 95% confidence interval on the slope.
≤B₁ ≤i
X
Transcribed Image Text:An article in Air and Waste ("Update on Ozone Trends in California's South Coast Air Basin," Vol. 43, 1993) studied the ozone levels on the South Coast air basin of California for the years 1976-1991. The author believes that the number of days that the ozone exceeds 0.20 parts per million depends on the seasonal meteorological index (the seasonal average 850 millibar temperature). The data follow: Year Days Index 16.3 1976 91 1977 105 17.1 1978 106 18.2 1979 108 18.1 1980 88 17.2 1981 91 18.2 1982 58 16.0 1983 82 17.2 Round your answers to 2 decimal places. (a) Fit a simple linear regression model to the data. Test for significance of regression using a = 0.05. y = i Calculate fo: i Year Days Index 1984 82 17.7 1985 65 17.2 1986 61 16.9 1987 48 17.1 1988 61 18.2 1989 43 17.3 1990 33 17.5 1991 36 16.6 i + i Is the simple linear regression model significant? No. (b) Calculate a 95% confidence interval on the slope. ≤B₁ ≤i X
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