Observe the data set called Teachers Pay (see attached two pages). The variable Pay represents the mean annual salary for teachers by state in 1995 and the variable Spend is the per pupil spending by state in 1995. Both of these variables are in thousands of dollars. For example Maine (ME) paid their teachers a mean salary of $32,000 in 1995 and spent $6410 per pupil.

4.

a. State the value of the slope of the regression line:_________.

b. Interpret the slope with regards to the story problem situation. Remember to use units of measure in your answer

c. What percent of the variation in mean teachers pay can be explained by pupil spending? Show what made you decide.

Pay State ME VT RI NY PA IN MI MN MO SD KS MD VA NC GA KY AL AR OK MT WY NM UT WA CA Region NE NE NE MA MA ENC ENC WNC WNC WNC WNC SA SA 32.0 35.4 40.7 47.6 44.5 36.8 47.4 35.9 31.2 26.0 34.7 40.7 34.0 30.8 32.6 32.3 31.1 28.9 28.2 28.8 31.3 28.5 29.1 36.2 41.1 Spend 6.41 7.37 7.36 9.45 7.20 6.00 6.93 5.11 4.97 4.84 5.76 6.72 5.66 4.95 5.40 5.61 4.46 4.26 4.38 5.83 6.07 5.42 3.67 5.81 4.73 Groups MW MW MW MW MW MW S S S S S S S SA SA ESC ESC WSC WSC MN MN MN MN PA PA * Groups MW MW MW MW MW MW S State HI NH MA NJ OH IL WI ND NE DE DC WV SC FL TN MS LA TX ID CO AZ NV OR AK Region PA NE NE NE MA ENC ENC ENC WNC WNC WNC SA SA SA SA SA ESC ESC WSC WSC MN MN MN MN PA PA Pay 38.5 29.0 42.2 50.0 46.1 36.8 39.4 37.7 31.5 26.3 30.9 39.1 43.7 31.9 30.3 32.6 32.5 26.8 26.5 31.2 29.8 34.6 32.2 34.8 38.6 48.0 Spend 6.16 6.13 6.17 8.50 9.86 5.62 5.26 7.00 5.56 4.60 5.38 7.17 8.21 6.52 4.93 5.72 4.54 4.12 4.71 5.42 6.03 5.50 4.25 5.13 6.25 9.93 * S S S S S S S * * * * Pay State ME VT RI NY PA IN MI MN MO SD KS MD VA NC GA KY AL AR OK MT WY NM UT WA CA Region NE NE NE MA MA ENC ENC WNC WNC WNC WNC SA SA 32.0 35.4 40.7 47.6 44.5 36.8 47.4 35.9 31.2 26.0 34.7 40.7 34.0 30.8 32.6 32.3 31.1 28.9 28.2 28.8 31.3 28.5 29.1 36.2 41.1 Spend 6.41 7.37 7.36 9.45 7.20 6.00 6.93 5.11 4.97 4.84 5.76 6.72 5.66 4.95 5.40 5.61 4.46 4.26 4.38 5.83 6.07 5.42 3.67 5.81 4.73 Groups MW MW MW MW MW MW S S S S S S S SA SA ESC ESC WSC WSC MN MN MN MN PA PA * Groups MW MW MW MW MW MW S State HI NH MA NJ OH IL WI ND NE DE DC WV SC FL TN MS LA TX ID CO AZ NV OR AK Region PA NE NE NE MA ENC ENC ENC WNC WNC WNC SA SA SA SA SA ESC ESC WSC WSC MN MN MN MN PA PA Pay 38.5 29.0 42.2 50.0 46.1 36.8 39.4 37.7 31.5 26.3 30.9 39.1 43.7 31.9 30.3 32.6 32.5 26.8 26.5 31.2 29.8 34.6 32.2 34.8 38.6 48.0 Spend 6.16 6.13 6.17 8.50 9.86 5.62 5.26 7.00 5.56 4.60 5.38 7.17 8.21 6.52 4.93 5.72 4.54 4.12 4.71 5.42 6.03 5.50 4.25 5.13 6.25 9.93 * S S S S S S S * * * *