In a study, the protein absorption (Y) for seven concentration levels (X) of that protein were measured: Be Specific with answers
Conc. Level (Xi) |
4 |
6 |
8 |
10 |
12 |
14 |
16 |
Absorption (Yi) |
10 |
15 |
18 |
18 |
24 |
22 |
26 |
a) Find the least squares estimate for the regression line Yi = b0 + b1Xi+ ei.
b) What would be your estimate of the absorption when the concentration level is 10?
c) Estimate the standard deviation of the error term ei
d) Compute the correlation coefficient.
e) What proportion of the variability in the absorption can be explained using this model (i.e. what is R2)?
f) Test the null hypothesis that b1 = 0 (perform a two-sided test), using α = 0.05. Is the model useful?
g) Give the p-value to the test in part f ). Verify that the p-value agrees with your conclusion in part f ).
In a study, the protein absorption (Y) for seven concentration levels (X) of that protein were...
In a study, the protein absorption (Y) for seven concentration levels (X) of that protein were measured: Conc. Level (Xi) 4 6 8 10 12 14 16 Absorption (Yi) 10 15 18 18 24 22 26 a) Caculate the ANOVA table. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05). b) Give a 95% confidence interval for the mean absorption when the concentration level is 10. c) Give a 95%...
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