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Carry out the following operations.
a) Find out sample correlation coefficients of (I) age with dry weight, and (2) age with log 10 dry weight. Interpret your results.
b) For each straight-line regression, find out r2 directly by squaring r obtained in part (a); also determine r2 from computer output or from formula r2 (SSY - SSE)/SSY. Interpret your results.
c) Based on preceding results. Which of the two regression lines gives the better fit? Describe. Does this agree with your earlier conclusion?
We get the following for Y versus X
Now, for Z versus X we get
It is clear that second regression has much better linear fit. Actually, in the Y-versus-X model, 74.42% of variation is explained, whereas in the Z-versus-X model, 99.83% of variation is described.
There were 3 defectives in the first batch and 5 in the second. Find a 95% confidence interval for the difference in the proportion of defectives.
What is the probability that there will be more than three trucks either being loaded or waiting?
The average number of days absent per student per year at West Valley School is 17 days with a standard deviation of 4 days. How many standard deviations from the mean is 6 absent days?
Using the .05 level of significance: a) Is there a difference among types of gasoline? b) Is there a difference in the cars?
To test whether the population standard deviation differ significantly using Chi-Square test.
Compute the range and interquartile range
Can we conclude that mean time for game is less than 3.50 hours? Use.05 significance level.
Compute a 95% confidence interval for the mean using the formula and where is the mean of the ten random numbers.
If the estimate is to be within 8 mpg of the true mean with 98% confidence and the estimated standard deviation is 22 mph, how large a sample size must be taken?
The ANOVA table is given below,as well as a table of means and standard deviations for the three groups. Evaluate the t statistic for testing contrast
What is the intercept for the logistic regression equation and What is a 95% confidence interval for the odds ratio
Write the null and alternative hypotheses you would use to test the following situation.
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