## Confidence interval from minitab output

The thing about this question that i really dont understand is how to interpret the MINITAB output. Anybody use it often and know how to read it? I have no idea what any of it means.

- Question is about hardness Y of eggs relating to percentage x of a food supplement. just to summarize the rather large bit of text i was given about it.

10 randomly selected eggs:

Hardness y --- 0.8 - 1.08 - 1.26 - 1.85 - 0.86 - 0.92 - 1.05 - 1.34 - 1.85 - 2.05
Percentage x - 0.22 - 0.31 - 0.44 - 0.71 - 0.23 - 0.27 - 0.31 - 0.44 - 0.72 - 0.81

i) Construct a 95% confidence interval for the regression slope, making full use of the MINITAB calculations given below.

ii) Both a 95% C.I. and a 95% prediction interval for hardness have been calculated by MINITAB at x=0.7% supplement. Construct a 90% C.I. and a 90% prediction interval for hardness at x=0.7% supplement. (I can probably get this one done if i can do the first one as i'll hopefully have understood the MINITAB stuff)

(The data below was given to me, not calculated by me)

MINITAB DATA

The regression equation is
hardness = 0.392 + 2.05 supplem

Predictor ---- Coef ---- SE Coef ---- T ---- P
Constant --- 0.3922 --- 0.02537 -- 15.46 - 0.000
supplem ---- 2.04889 -- 0.05145 -- 39.83 - 0.000

S = 0.03424
R-Sq = 99.5%

Analysis of Variance

Source ------ DF ---- SS ------ MS ------- F ------ P
Regression --- 1 ---1.8599 ---1.8599 -- 1586.06 --0.000
Residual Error - 8 -- 0.0094 -- 0.0012
Total --------- 9 --1.8692

Predicted Values For New Observations

New Obs --- Fit ----- SE Fit ------ 95.0% CI --------- 95.0% PI
1 ---------1.8264 -- 0.0170 -- (1.7873, 1.8656) -- (1.7383, 1.9145)

Values For Predictors for New Observations

New Obs -- Supplem
1 ----------- 0.700

Appologies for the way its layed out but can anyone help me on this?