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An old saying in golf is "you drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money. To explore the relation between winning, putting, and driving distance, data on the top 69 money winners on the PGA tour in 1993 are used. The average number of putts per hole for each player and their average driving distance is used to predict their total winnings using the multiple regression model
where the deviations εI are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
The F test of the hypotheses H0: β1 = β2 = 0 and Ha: at least one of the βI is not 0 is found to have a P-value less than 0.001. We may conclude
A. both average number of putts per hole and average driving distance are linearly related to 1993 winnings.B. either average number of putts per hole or average driving distance, but not both, are linearly related to 1993 winnings. Unfortunately, we cannot say which is having the effect.C. either average number of putts per hole or average driving distance (or both) are linearly related to 1993 winnings.
The correct set of hypotheses to test the effect of the bonus plan, the difference between the t and z distributions
Assume the researcher's rats can be considered an SRS from the population of all laboratory rats. The mean Math SAT score of these students is found to be 560, 80 points higher than the national average.
At the end of 24 weeks of treatment, subjects were classified as responders or non-responders to treatment based on a battery of psychological tests.
Drug sniffing dogs must be 95% accurate. A new dog is being tested and is right in 46 of 50 trials. Find a 95% confidence interval for the proportion of times the dog will be correct.
How strong is the evidence against the company's claim? Based on these data, the P -value of the appropriate test
The accompanying two histograms represent the distribution of acceptance rates (percent accepted) among 25 business schools in 1995. The histograms use different class intervals, but are based on the same data. In each class interval, the left endpoi..
What is the probability that they all hit the target?
The null hypothesis is that the distribution of mother's educational level is the same for both treatment groups. The value of the chi-square statistic is 7.422. Evaluate the P-value
Here is a scatterplot of average crawling age versus average outdoor temperature six months after birth followed by a plot of the residuals versus average outdoor temperature six months after birth.
The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males.
A random variable has the density curve as in the graph below. Find The height of the density curve?
I have fit a line to data representing cholesterol readings for 28 individuals starting a cholesterol reducing drug. The computer provides the following output, The degrees of freedom for the t test for the slope are
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