No need to show work, it is multiple choice

You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages.

You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.

You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.

x1 = Runs Score/Times at Bat

x2 = Doubles/Times at Bat

x3 = Triples/Times at Bat

x4 = Home Runs/Times at Bat

x5= Strike Outs/Times at Bat

Is there a significant linear relationship between these 5 variables and the Batting Average?

If so, what is/are the significant predictor(s) for determining the Batting Average?

Batting Average 0.283 0.276 0.281 0.328 0.29 0.296 0.248 0.228 0.305 0.254 0.269 0.3 0.307 0.214 0.329 0.31 0.252 0.308 0.342 0.358 0.34 0.304 0.248 0.367 0.325 0.244 0.245 0.318 0.207 0.32 0.243 0.317 0.199 0.294 0.221 0.301 0.298 0.304 0.297 0.188 0.214 0.218 0.284 0.27 0.277

RS/Times at Bat 0.144 0.125 0.141 0.189 0.161 0.186 0.106 0.117 0.174 0.094 0.147 0.141 0.135 0.1 0.189 0.149 0.119 0.158 0.259 0.193 0.155 0.197 0.133 0.196 0.206 0.11 0.096 0.193 0.154 0.204 0.141 0.209 0.1 0.158 0.087 0.163 0.207 0.197 0.16 0.064 0.1 0.082 0.131 0.17 0.15

Doubles/Times at Bat 0.049 0.039 0.045 0.043 0.044 0.047 0.036 0.03 0.05 0.041 0.047 0.058 0.041 0.037 0.058 0.05 0.04 0.038 0.06 0.066 0.051 0.052 0.037 0.063 0.054 0.025 0.044 0.063 0.045 0.053 0.041 0.057 0.029 0.034 0.038 0.068 0.042 0.052 0.049 0.044 0.037 0.061 0.049 0.026 0.053

Triples/times at bat 0.012 0.013 0.021 0.001 0.011 0.018 0.008 0.006 0.008 0.005 0.012 0.01 0.009 0.003 0.014 0.012 0.008 0.013 0.016 0.021 0.02 0.008 0.003 0.026 0.027 0.006 0.003 0.02 0.008 0.017 0.007 0.03 0.007 0.019 0.006 0.016 0.009 0.008 0.007 0.007 0.003 0.002 0.012 0.011 0.005

HR/Times at Bat 0.013 0.002 0.013 0.03 0.07 0.05 0.012 0.003 0.061 0.014 0.009 0.011 0.005 0.004 0.011 0.05 0.049 0.003 0.085 0.037 0.012 0.054 0.043 0.01 0.01 0 0.022 0.037 0 0.013 0.051 0.017 0.011 0.005 0.015 0.022 0.066 0.054 0.038 0.002 0.004 0.012 0.021 0.002 0.039

SO/Times at Bat 0.086 0.062 0.074 0.032 0.076 0.007 0.095 0.145 0.112 0.124 0.111 0.07 0.065 0.138 0.032 0.06 0.233 0.068 0.158 0.083 0.04 0.095 0.135 0.031 0.048 0.061 0.151 0.081 0.252 0.07 0.264 0.058 0.188 0.014 0.142 0.092 0.211 0.095 0.101 0.205 0.138 0.147 0.13 0 0.115

SELECT THE ANSWER

A. Yes,

Runs Score/Times at Bat, p-value = 0.000219186 < .05, Yes, Runs Score is a significant predictor for Batting Average.

Doubles/Times at Bat, p-value = 0.00300543 < .05, Yes, Doubles are a significant predictor for Batting Average.

Strike Outs/Times at Bat, p-value = 0.00000258892 < .05, Yes, Strikes Outs are a significant predictor for Batting Average.

B. No,

Runs Score/Times at Bat, p-value = 0.000219186 < .05, Yes, Runs Score is a significant predictor for Batting Average.

Doubles/Times at Bat, p-value = 0.00300543 < .05, Yes, Doubles are a significant predictor for Batting Average.

Strike Outs/Times at Bat, p-value = 0.00000258892 < .05, Yes, Strikes Outs are a significant predictor for Batting Average.

C. No,

Triples/Times at Bat, p-value = 0.291004037 > .05, No, Triples, are not a significant predictor for Batting Average.

Home Runs/Times at Bat,p-value = 0.114060301 > .05, No, Home Runs are not a significant predictor for Batting Average.

D. Yes,

Triples/Times at Bat, p-value = 0.291004037 > .05, No, Triples, are not a significant predictor for Batting Average.

Home Runs/Times at Bat,p-value = 0.114060301 > .05, No, Home Runs are not a significant predictor for Batting Average.