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Climate change. Drilling down beneath a lake in Alaska yields chemical evidence of past changes in climate. Biological silicon (in milligrams of silicon per gram of water), left by the skeletons of single-celled creatures called diatoms, measures the abundance of life in the lake. A rather complex variable based on the ratio of certain isotopes relative to ocean water gives an indirect measure of moisture, mostly from snow. As we drill down, we look farther into the past. Here are data from 2300 to 12,000 years ago:
(a) Make a scatterplot of silicon (response) against isotope (explanatory). Ignoring the outlier, describe the form, direction, and strength of the relationship. The researchers say that this relationship and relationships among other variables they measured are evidence for cyclic changes in climate that are linked to changes in the sun's activity.
(b) The researchers single out one point in their plot, which they say "is an outlier that was excluded in the correlation analysis." Circle this outlier on your graph. What is the correlation with and without this point? The point strongly influences the correlation.
(c) Is the outlier also strongly influential for the regression line? Calculate and draw on your graph the regression lines with and without the outlier, and discuss what you see.
An analysis of regression measures the variability of which variable (X or Y)? Describe regression variation in terms of variation in Y.
consider the following measures based on independently drawn samples from normally distributed populationssample 1
In a simple linear regression, the least squares regression line is (a) the line which makes the sample correlation as close to +1 or -1 as possible. (b) the line which best splits the data in half, with half of the data points lying above the reg..
Pelican Stores, a division of National Clothing,is a chain of woman's apparel stores operating throughout the country.The chain recently ran a promotion in which discount coupons were sent to customers of other national clothing stores
A supermarket chain is considering two sources A and B for the purchase of 50-pound bags of onions. The following table gives the results of a study.
A random sample of 100 people in the United States reveals that their mean "amount to feel rich" is $2.3 million and the standard deviation is $0.5 million. Conduct the test.
A recent shift in the interest rate differential between the United States and Country A had a large effect on the value of Currency A. However, the same shift in the interest rate differential between the United States and Country B had no effect..
a simple random sample of families living in a chicago suburb was selected. each family was asked to estimate the
a coin is flipped until heads occur twice. define two random variables x and y to be the trial numbers at which the
Is there evidence to support the claim that mean life exceeds 540 hours? Use a fixed-level test with α = 0.05. What is the P-value for this test? What is the β-value for this test if the true mean life is 560 hours
A statisitcs professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes. Find the probability that a given class period runs less than 50.5 minutes.
Using what you know about t-scores, identify which of the variables have a significant influence on the LISTPRICE. At a level of 1% which variables are significant?
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