Suppose a doctor measures the​ height, x, and head​ circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.904 and the least squares regression line is y=0.208x+11.736. Complete parts ​(a) and​ (b) below.

An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The   particular interest was whether higher income would result in shoppers spending more on groceries, A random sample of   shoppers at a local supermarket was obtained, and a questionnaire was administered asking about the weekly income of the   shopper's family and the grocery bill for that week. The gender of the shopper was also obtained. The graph below   contains a scatterplot with a least-squares line.

The following table presents the percentage of students who tested proficient in reading and the percentage who tested proficient in math for each of the ten most populous states in the United States.   State Percent Proficient in Reading Percent Proficient in Mathematics California 60 59 Texas 73 78 New York 75 70 Florida 66 68 Illinois 75 70 Pennsylvania 79 77 Ohio 79 76 Michigan 73 66 Georgia 67 64 North Carolina 71 73   Compute the least-squares regression line for predicting math proficiency from reading proficiency. Predict the math proficiency for another state with reading proficiency of 63 percent.

1. An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.3 percent, and SAT I was last at 13.6 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been? r2 =_______   2. A study was carried out to investigate the relationship between the hardness of molded plastic (y, in Brinell units) and the amount of time elapsed since the plastic was molded (x, in hours). Summary quantities include n = 15, SSResid = 1,237.628, and SSTo = 24,619.737. Calculate and interpret the coefficient of determination. (Round the coefficient of determination to four decimal places when written as a decimal and 2 decimal…

The table below shows the numbers of bushels of barley cultivated per acre for 12 one-acre plots of land for two different strains of barley, PHT-34 and CBX-21. PHT-34 CBX-21 43 55 49 46 47 43 38 44 47 45 45 49 50 47 46 59 46 52 46 49 45 48 43 51     Determine the minimum data value, the quartiles, and the maximum data value for the PHT-34 and CBX-21 data sets.     PHT-34 CBX-21 min     Q1     Q2     Q3     max

The following table presents the ages of 8  U.S. presidents and their wives on the first day of their presidencies.    Name Her Age His Age Barack and Michelle Obama 45 47 George W. and Laura Bush 54 54 George and Barbara Bush 45 46 Jimmy and Rosalynn Carter 59 69 Richard and Pat Nixon 56 61 Lyndon and Lady Bird Johnson 50 55 John and Jacqueline Kennedy 31 43 Dwight and Mamie Eisenhower 56 62 (a) Compute the least-squares regression line for predicting the president's age from the first lady's age. Round the slope and y -intercept values to at least four decimal places. Regression line equation: =y

Suppose 5 out of 25 data points in a weighted least-squares problem have a y-measurement that is less reliable than the others, and they are to be weighted half as much as the other 20 points. One method is to weight the 20 points by a factor of 1 and the other 5 by a factor of 1/2. A second method is to weight the 20 points by a factor of 2 and the other 5 by a factor of 1. Do the two methods produce different results? Explain.

A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are​ met, use the accompanying Minitab output to complete parts a and b below.   N Event Sample p ​95% CI for p 1026 664 0.647173 ​(0.617934​, 0.676413​)       Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the​ blogger's claim? Explain your reasoning.   A. ​No, it is not a plausible claim because the confidence interval contains​ 50%.   B. ​No, it is not a plausible claim because the confidence interval does not contain only values above​ 50%.   C. ​Yes, it is a…

A scientist formulated a new cough medicine and would want to know if there is an impact on its reaction time. He gathered about 50 patients and the reaction times of each is measured right before and one hour after taking the cough medication. Assuming that the data is not normally distributed, what would be the best statistical tool to be used? And why? a. ANOVAb. Mann Whitneyc. Wilcoxon Signed Rankd. Independent t-teste. Spearman Rho   - Why?