(1)Give the sample mean, minimum, maximum, and standard deviation for the SALARY variable.

(2)Which (non-salary related) variable has the strongest sample correlation with SALARY? Which (non-salary related) variable has the weakest sample correlation with SALARY? Interpret the value of these correlations.

(3)Estimate the regression of SALARY (this is your dependent variable) on AGE, POINTS, and an intercept. For reference, your independent variables here are: AGE = the player's age in years; and POINTS = number of points scored during the regular season. Report the estimated regression coefficients and interpret the estimated coefficient on POINTS.

(4)Write down the set of hypotheses for testing the statistical significance of variable POINTS. Based on the results of the regression, is POINTS an important factor in explaining SALARY?

(5)Construct a new variable, DENSITY = WEIGHT/HEIGHT where WEIGHT = weight in pounds and HEIGHT = height in inches. Estimate the regression of SALARY (this is your dependent variable) on DENSITY, AGE, POINTS, and an intercept. Report the estimated regression coefficients. Is DENSITY an important factor in explaining SALARY? Is the estimated coefficient on POINTS the same as in (4)? Why or why not? Finally, report the value of R² for this regression and interpret its value.

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PLAYERDATA_1998-99 YASHIN, ALEXEI YELLE, STEPHANE YLONEN, JUHA YORK, HARRY YORK, JASON YUSHKEVICH, DIMITRI YZERMAN, STEVE ZAMUNER, ROB ZEDNIK, RICHARD ZELEPUKIN, VALERI ZENT, JASON ZETTLER, ROB ZHAMNOV, ALEXEI ZHITNIK, ALEXEI ZHOLTOK, SERGEI ZMOLEK, DOUG ZUBOV, SERGEI ZUBRUS, DAINIUS ZYUZIN, ANDREI 3600000 800000 600000 440000 1400000 1600000 6000000 2100000 650000 907500 350000 400000 3000000 2500000 425000 1250000 2425000 660000 875000 Page 14 25 25 27 25 29 27 34 29 23 30 28 31 28 26 26 28 29 21 21 75 73 72 74 73 71 71 74 70 71 71 75 73 71 72 74 72 74 73 216 170 183 220 198 208 185 206 180 195 204 200 195 195 190 220 195 210 187 PLAYERDATA_1998-99 Games_Played Goals 73 1 60 58 1 39 82 82 47 52 7 3 74 80 65 1 82 4 49 77 1 21 62 81 81 10 2 33 60 5 31 54 66 69 76 32 77 3 14 75 1 62 65 7 4 56 66 5 Assists 3 0 1 11 0 2 23 44 2 15 0 0 27 21 10 0 23 0 18 7 0 1 6 20 2 0 0 5 7 0 0 2 19 9 37 8 5 0 0 16 1 12 3 3 0 1 31 0 Points 5 0 5 22 0 2 53 31 4 13 1 0 27 26 8 0 11 0 18 10 1 2 16 16 6 0 1 4 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