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A Study Was Conducted on 40 Different Brands of Golf

Question 44

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A study was conducted on 40 different brands of golf balls with respect to the distance the ball traveled after being struck with standardized test 7-iron.The response variable DIST is the measurement of the carry distance of the shot in yards.The explanatory variables are SMASH,the ratio of the ball speed/club speed at impact;SPIN,the initial spin rate of the ball in RPMs;and HEIGHT,the peak height of the ball in flight measured in feet. The following is a table showing some computer output (missing results are shown by **) for a least-squares fit of a multiple regression model using these variables. A study was conducted on 40 different brands of golf balls with respect to the distance the ball traveled after being struck with standardized test 7-iron.The response variable DIST is the measurement of the carry distance of the shot in yards.The explanatory variables are SMASH,the ratio of the ball speed/club speed at impact;SPIN,the initial spin rate of the ball in RPMs;and HEIGHT,the peak height of the ball in flight measured in feet. The following is a table showing some computer output (missing results are shown by <sub>**</sub>) for a least-squares fit of a multiple regression model using these variables.   Based upon the P-value of the ANOVA F test,what can be concluded about the relationship between the response variable and the explanatory variables? A) A significant amount of the variation in the response variable can be explained by the regression on the explanatory variables. B) There is strong evidence that the distance a golf ball travels depends upon the variable SMASH. C) There is strong statistical evidence that at least one of the regression coefficients is not equal to zero. D) When considered on its own,the variable SPIN is significantly different from zero. E) There is strong statistical evidence that none of the regression coefficients is equal and all are significantly different from zero. Based upon the P-value of the ANOVA F test,what can be concluded about the relationship between the response variable and the explanatory variables?


A) A significant amount of the variation in the response variable can be explained by the regression on the explanatory variables.
B) There is strong evidence that the distance a golf ball travels depends upon the variable SMASH.
C) There is strong statistical evidence that at least one of the regression coefficients is not equal to zero.
D) When considered on its own,the variable SPIN is significantly different from zero.
E) There is strong statistical evidence that none of the regression coefficients is equal and all are significantly different from zero.

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