Please only answer questions f and on A paper in the Journal of Human Movement S

Question

Please only answer questions f and on

A paper in the Journal of Human Movement Studies gave the following data on Y udge's score and X length of final step (in meters) for a sample of seven divers performing a forward pike with a single somersault: a) What is the sample correlation coefficient? 0.803 (round your answer to 3 decimals) b) Based on this, we would describe the linear relationship between length of final step and judge's score as Positive and Strong c) What is the estimated regression line? 5.281 2,707 (round both regression coefficients to three decimals) d) What is the residual for the third diver, who took a final step of 0.9 meters? e3 -0.218 (round to three decimal places) e) Which of the following is the correct interpretation of the residual from (d)? o The third diver scored 0.218 points lower than expected based on the length of his final step. The third diver scored 0.218 points higher than expected based on the length of his final step. The third diver received the exact score predicted based on the length of his final step. The third diver's final step was 0.218 meters shorter than expected. The third diver's final step was 0.218 meters longer than expected. f) Find the estimated standard error of the residuals. Se (round your answer to four decimal places) g) Construct a 90% confidence interval for the true slope of the regression line (round the endpoints of your CI to two decimal places) h) Based on your confidence interval, can you conclude that there is there a significant relationship between length of diver's final step judge's score? Why or why not? No, since 0 is in the confidence interval. Yes, since 0 is not in the confidence interval. No, since 0 is not in the confidence interval. Yes, since 0 is in the confidence interval.

Explanation / Answer

From following results we have

Part-f- se=0.4191

Part-g-90% CI foe slope=(0.89, 4.52)

Part-h-Option-2

Part-i-Prediction range =0.89 4.52

Part-j-Predicted score=7.39

Part-k-99% CI for mean=(6.54, 8.24)

Part-l-99% CI for prdictio= (5.50, 9.28)

Regression Analysis: Y versus X

Analysis of Variance

Source      DF Seq SS Contribution Adj SS Adj MS F-Value P-Value

Regression   1 1.5904        64.43% 1.5904 1.5904     9.06    0.030

X          1 1.5904        64.43% 1.5904 1.5904     9.06    0.030

Error        5 0.8782        35.57% 0.8782 0.1756

Total        6 2.4686       100.00%

Model Summary

       S    R-sq R-sq(adj)    PRESS R-sq(pred)

0.419086 64.43%     57.31% 2.01572      18.34%

Coefficients

Term       Coef SE Coef      90% CI      T-Value P-Value   VIF

Constant 5.281    0.857 (3.555, 7.007)     6.16    0.002

X         2.707    0.900 (0.894, 4.520)     3.01    0.030 1.00

Regression Equation

Y = 5.281 + 2.707 X

Prediction for Y

Regression Equation

Y = 5.281 + 2.707 X

Variable Setting

X            0.78

    Fit    SE Fit        99% CI              99% PI

7.39270 0.211466 (6.54004, 8.24537) (5.49995, 9.28546)

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