The following sample of 8 grade point averages and marks in matriculation was observed for students from a college. A Score GPA 480 2.7 490 2.9 D 510 3.3 E 510 2.9 F 530 3.1 550 3 H 610 3.2 640 3.7 Find the least squares line. Estimate the mean GPA of students scoring 600 marks.
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- The following table shows the assessed values and the selling prices of eight houses, constituting a random sam-ple of all the houses sold recently in a metropolitan area: Assessed value Selling price(thousands) (thousands)(of dollars) (of dollars)170.3 214.4202.0 269.3162.5 206.2174.8 225.0157.9 199.8181.6 232.1210.4 274.2188.0 243.5 (a) Fit a least squares line that will enable us to predictthe selling price of a house in that metropolitan area interms of its assessed value. (b) Test the null hypothesis β = 1.30 against the alterna-tive hypothesis β > 1.30 at the 0.05 level of significance.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.A scrap metal dealer claims that the mean of his cash sales is 'no more that R80', but an Internal Revenue Service agent believes the dealer is untruthful. The agent randomly selects a sample of 20 cash customers and find the mean purchase to be R91, with a variance of R441. What is the critical value?
- A survey of the population of 51 students in Psych 311 asks how many credits students are taking and obtains the following normally-distributed results: ∑ X= 686 and ∑X2= 9832.92. Using this information, answer the following three questions. What is the percentile rank of a student who is enrolled in 15 credits? (Hint: This is the same thing as asking “what percentage of students is enrolled in 15 credits or less?”) MUST SHOW WORK FOR THIS PROBLEM What percentage of students are enrolled in between 12 and 18 credits? (MUST SHOW WORK FOR THIS PROBLEM) What is the 25th percentile? (Hint: This is the same as asking what score separates the bottom 25% of the distribution from the top 75%.) MUST SHOW WORK FOR THIS PROBLEMA simple random sample of heights of 6400Englishmen has a mean of 67.85 inches and SD 2.56 inches, while a simple random sample of heights of 1600 Australians has a mean of 68.55 inches and SD of 2.52 inches. D the data indicate that Australians are, on the average, taller than Englishmen?Is a baseball players' slugging percentage correlated to their strikeout percentage? A random sample of n=6n=6professional baseball players gave the following data (Source: baseball-reference.com) Slugging 0.396 0.42 0.323 0.078 0.473 0.467 Strikeouts 27 14.3 30.8 47.1 17.8 36.7 Find the least squares line if we consider slugging percengtage as the explanatory variable and strikeout percentage as the response variable. (Round the y-intercept and slope to 2 decimal places.)y^ = For a unit increase in slugging percentage, how much of a decrease Correct in strikeout percentage is predicted? (Round your answer to 2 decimal places.) What percentage of the variation in strikeout percentage (yy) can be explained by slugging percentage (xx) and the least squares line? (Round to the nearest percent.) p-value (Round to four decimal places)
- A one-way analysis of variances produces dftotal = 39 and dfwithin = 36. For this analysis, what is dfbetween? A)1 B) 2 C) 3 D) 0The r2represents the shared variance between a predictor and _______Suppose that a study is conducted to determine if environmental aspects and feed type impact the growth of chickens, specifically their weight over time. An ANOVA procedure is conducted and the following table results: Sourcefeed typeenvironmentResiduals Sum of Squares23112924195532 DF5164 Mean Squares46226243055 F-statistic15.130.0079 To determine if there a significant effect on a chicks weight due to their environment, an F-test on the variable “environment” is conducted. How many levels of "environment" are there? Report the correct F-statistic. Do not round! How many numerator degrees of freedom does the F-statistic have? How many denominator degrees of freedom does the F-statistic have?
- Suppose that a study is conducted to determine if environmental aspects and feed type impact the growth of chickens, specifically their weight over time. An ANOVA procedure is conducted and the following table results: Sourcefeed typeenvironmentResiduals Sum of Squares23112924195532 DF5164 Mean Squares46226243055 F-statistic15.130.0079 To determine if there a significant effect on a chicks weight due to their environment, an F-test on the variable “environment” is conducted. Is the main effect of “environment” significant at the 0.05 significance level? Yes, since the F-statistic is less than 0.05 Yes, since the p-value associated with the F-statistic for "environment" is less than 0.05. No, since the p-value associated with the F-statistic for "environment" is greater than 0.05.A simple random sample of heights of 6400 Englishmen has a mean of67.85 inches and SD 2.56 inches, while a simple random sample of heightsof 1600 Australians has a mean of 68.55 inches and SD of 2.52 inches. Dothe data indicate that Australians are, on the average, taller thanEnglishmen?Which of the following not used in an F-ratio for the two-factor analysis of variance? MSA MSAxB MSbetween treatments MSwithin treatments
