What is the p-value? The viscosity (y) of an oil was measured by a cone and plat

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What is the p-value?

The viscosity (y) of an oil was measured by a cone and plate viscometer at seven different cone speeds (x). It was assumed that a quadratic regression model was appropriate, and the estimated regression function resulting from the n7 observations was y--113.09373.3684x - 0.01780x2 (a) Estimate 72, the expected viscosity when speed is 72 rpm. (Round your answer to two decimal places.) Hy-72 39.41 (b) What viscosity would you predict for a cone speed of 61 rpm? (Round your answer to two decimal places.) Hy 6124.93 (c) If -8381 43 Zy = 210.80, Exy.-17,003, and Ex2ys 1,4 19,760 compute SSE -Zy 2- -,2xy,-2Ex 2y, and s. (Round your answers to two decimal places.) SSE-217.82 s= 8.52 (d) From part (c), SST 8381.43 (210.80)2/7 -2033.34. Using SSE computed in part (c), what is the computed value of R2? (Round your answer to three decimal places.) R2-0.779 (e) If the estimated standard deviation of 2 is siz-0.00226, test Hoi 2-0 versus Ha·Bs # o at level 0.01, and interpret the result. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t= -7.88 P-value= -5.841

Explanation / Answer

Degrees of freedom = n - 2 = 7 - 2 = 5

So for a two tailed test with 5 degrees of freedom and t = -7.88:

P - value = 0.001

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