A) Exploratory Data Analysis

1. Obtain the mean and standard deviation of annual temperature in a Virginia Park. 2. Obtain a five -number summary and interquartile range of the annual temperature in a Virginia Park. Are there any outliers? (use the fences to identify outlier if any) 3. Construct a boxplot and use it to investigate the data for outliers 4. Construct a histogram and normal probability plot (QQ plot) for annual temperature.

B) Inferential Statistics

5. Construct and interpret a 95% confidence interval for , for the mean annual temperature. 6. Using regression analysis ( hint use scatter plot, r r² ) investigate if there is a relationship between year and temperature in a Virginia Park. . 7. If there is a relationship, provide an equation that can be used to predict temperature based on year. Comment on how reliable and useful the model (equation) is in predicting temperature

YEAR ANNUAL Temperature 1869 51.4 1870 53.6 1871 51.1 1872 51 1873 51 1874 51.3 1875 49.4 1876 51.9 1877 52.8 1878 53.6 1879 52.3 1880 53.2 1881. 52.4 1882 52 1883 50.5 1884 52.4 1885 51.1 1886 51 1887 50.9 1888 49.3 1889 52.7 1890 52.7 1891 53.8 1892 51.9 1893 50.4 1894 52.8 1895 52.7 1896 53.5 1897 53.4 1898 54.6 1899 53.6 1900 53.8 1901 52.1 1902 52.9 1903 52.7 1904 50.7 1905 53.3 1906 54.7 1907 52.5 1908 55 1909 53.4 1910 53.2 1911 53.4 1912 52.7 1913 55 1914 52 1915 53.5 1916 52.2 1917 50.7 1918 53.2 1919 53.8 1920 52.3 1921 54.9 1922 53.5 1923 52.9 1924 51.9 1925 53.4 1926 51.2 1927 53.4 1928 53.6 1929 54.1 1930 54.5 1931 55.8 1932 55.2 1933 54.2 1934 53 1935 53.1 1936 53.4 1937 54.5 1938 55.2 1939 54.7 1940 51.9 1941 54.9 1942 54.1 1943 53.7 1944 54.6 1945 54.1 1946 55.3 1947 53.8 1948 54.1 1949 56.9 1950 53.6 1951 55 1952 55.8 1953 57 1954 54.9 1955 54.7 1956 53.5 1957 55.4 1958 52.5 1959 55.4 1960 54 1961 55.1 1962 53.4 1963 53.6 1964 54.6 1965 54.2 1966 55.1 1967 53 1968 54.1 1969 54.8 1970 54.3 1971 55.2 1972 53.9 1973 56.1 1974 54.7 1975 54.9 1976 53.4 1977 54.3 1978 53 1979 55.7 1980 55 1981 55.2 1982 54.9 1983 56 1984 55.5 1985 55.5 1986 55.3 1987 55.1 1988 54.8 1989 54 1990 57.2 1991 57.2 1992 53.9 1993 55.5 1994 55.2 1995 55.3 1996 53.7 1997 54.3 1998 57.2 1999 56.5 2000 53.9 2001 56.3 2002 56.4 2003 53.4 2004 54.5 2005 55.8 2006 56.8 2007 55 2008 55.3 2009 54 2010 56.7 2011 56.4 2012 57.3 2013 55.3 2014 54.4 2015 56.7 2016 57.2 2017 56.3 2018 55.9