## Warning: package 'Hmisc' was built under R version 3.4.4
## List of 29
##  $ Hopkins, DeAndre HOU WR : num 7.8
##  $ Beckham, Odell NYG WR   : num 8.64
##  $ Robinson, Allen JAC WR  : num 8.86
##  $ Green, A.J. CIN WR      : num 9.07
##  $ Baldwin, Doug SEA WR    : num 9.88
##  $ Fitzgerald, Larry ARI WR: num 7.71
##  $ Landry, Jarvis MIA WR   : num 6.26
##  $ Johnson, Calvin DET WR  : num 7.85
##  $ Thomas, Demaryius DEN WR: num 4.68
##  $ Decker, Eric NYJ WR     : num 2.68
##  $ Cooks, Brandin NOS WR   : num 7.43
##  $ Maclin, Jeremy KCC WR   : num 7.42
##  $ Hurns, Allen JAC WR     : num 7.02
##  $ Watkins, Sammy BUF WR   : num 9.59
##  $ Crabtree, Michael OAK WR: num 6.2
##  $ Matthews, Jordan PHI WR : num 7.38
##  $ Sanders, Emmanuel DEN WR: num 8.77
##  $ Hilton, T.Y. IND WR     : num 7.31
##  $ Cooper, Amari OAK WR    : num 7.77
##  $ Brown, John ARI WR      : num 4.95
##  $ Evans, Mike TBB WR      : num 6.93
##  $ Austin, Tavon STL WR    : num 7.8
##  $ Cobb, Randall GBP WR    : num 6.91
##  $ Jones, James GBP WR     : num 7.52
##  $ Tate, Golden DET WR     : num 5.41
##  $ Benjamin, Travis CLE WR : num 7.79
##  $ Ginn Jr., Ted CAR WR    : num 7.92
##  $ Aiken, Kamar BAL WR     : num 6.02
##  $ Randle, Rueben NYG WR   : num 5.04
## List of 29
##  $ Hopkins, DeAndre HOU WR : num 17.5
##  $ Beckham, Odell NYG WR   : num 18.8
##  $ Robinson, Allen JAC WR  : num 16.7
##  $ Green, A.J. CIN WR      : num 14.6
##  $ Baldwin, Doug SEA WR    : num 14.8
##  $ Fitzgerald, Larry ARI WR: num 14.1
##  $ Landry, Jarvis MIA WR   : num 14
##  $ Johnson, Calvin DET WR  : num 12.9
##  $ Thomas, Demaryius DEN WR: num 13
##  $ Decker, Eric NYJ WR     : num 14.2
##  $ Cooks, Brandin NOS WR   : num 13.8
##  $ Maclin, Jeremy KCC WR   : num 13.2
##  $ Hurns, Allen JAC WR     : num 13.5
##  $ Watkins, Sammy BUF WR   : num 14.2
##  $ Crabtree, Michael OAK WR: num 11.8
##  $ Matthews, Jordan PHI WR : num 11.2
##  $ Sanders, Emmanuel DEN WR: num 12.6
##  $ Hilton, T.Y. IND WR     : num 11.3
##  $ Cooper, Amari OAK WR    : num 11.5
##  $ Brown, John ARI WR      : num 12
##  $ Evans, Mike TBB WR      : num 11.6
##  $ Austin, Tavon STL WR    : num 10.9
##  $ Cobb, Randall GBP WR    : num 10.8
##  $ Jones, James GBP WR     : num 10.3
##  $ Tate, Golden DET WR     : num 10.6
##  $ Benjamin, Travis CLE WR : num 10.4
##  $ Ginn Jr., Ted CAR WR    : num 10.8
##  $ Aiken, Kamar BAL WR     : num 9.99
##  $ Randle, Rueben NYG WR   : num 9.38
95 % confidence interval for 2014
Hopkins, DeAndre HOU WR Beckham, Odell NYG WR Robinson, Allen JAC WR Green, A.J. CIN WR Baldwin, Doug SEA WR Fitzgerald, Larry ARI WR Landry, Jarvis MIA WR Johnson, Calvin DET WR Thomas, Demaryius DEN WR Decker, Eric NYJ WR Cooks, Brandin NOS WR Maclin, Jeremy KCC WR Hurns, Allen JAC WR Watkins, Sammy BUF WR Crabtree, Michael OAK WR Matthews, Jordan PHI WR Sanders, Emmanuel DEN WR Hilton, T.Y. IND WR Cooper, Amari OAK WR Brown, John ARI WR Evans, Mike TBB WR Austin, Tavon STL WR Cobb, Randall GBP WR Jones, James GBP WR Tate, Golden DET WR Benjamin, Travis CLE WR Ginn Jr., Ted CAR WR Aiken, Kamar BAL WR Randle, Rueben NYG WR
13.70 14.53 12.36 10.16 9.98 10.33 10.93 9.05 10.72 12.91 10.12 9.59 10.08 9.47 8.81 7.57 8.26 7.76 7.74 9.59 8.16 7.10 7.43 6.58 7.93 6.57 6.91 7.04 6.91
21.35 23.00 21.04 19.05 19.67 17.88 17.06 16.74 15.30 15.54 17.40 16.86 16.96 18.87 14.89 14.81 16.86 14.93 15.35 14.43 14.95 14.74 14.20 13.95 13.23 14.21 14.67 12.94 11.85

## Warning: Setting row names on a tibble is deprecated.

## 
## Call:
## lm(formula = total ~ gap, data = df_for_analysis)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -40.607 -24.814  -8.187  20.717  73.821 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  151.165     28.865   5.237 1.61e-05 ***
## gap            6.616      4.002   1.653     0.11    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 32.78 on 27 degrees of freedom
## Multiple R-squared:  0.0919, Adjusted R-squared:  0.05827 
## F-statistic: 2.732 on 1 and 27 DF,  p-value: 0.1099