An independent variable (x) is used to predict a dependent v…
Questions
An independent vаriаble (x) is used tо predict а dependent variable (y). Answer the questiоns fоr each scenario based on the data in the table below. Each scenario shows the sample size (n), the correlation (r), the regression equation (y=mx+b), and an alpha value for an relationship between x and y. Hint: Use Table A-6 or compare the critical value with the test statistic to determine whether or not the correlation is significant and the regression valid.For scenario 1 Is the correlation significant? [sig1] (answer "yes" or "no") Given x=2, what is the best prediction of the value of y? [y1] (round to 1 decimal)For scenario 2 Is the correlation significant? [sig2] (answer "yes" or "no") Given x=3, what is the best prediction of the value of y? [y2] (round to 1 decimal)For scenario 3 Is the correlation significant? [sig3] (answer "yes" or "no") Given x=3, what is the best prediction of the value of y? [y3] (round to 1 decimal) n r y-bar regression alpha Scenario 1 8 0.75 7.7 y=3x+2 0.05 Scenario 2 40 0.69 9.1 y=2x+3 0.01 Scenario 3 12 0.48 5.3 y=1x+2 0.10