7Given are five observations for two variables, and y.The estimated regression equation for these data is ŷ = 74.06 - 2.79x.a. Compute SSE, SST, and SSR.SSE(to 2 decimals)SST(to 2 decimals)SSR(to 2 decimals)b. Compute the coefficient of determination 7². Comment on the goodness of fit.*(to 3 decimals)The least squares line provided an goodfit;c. Compute the sample correlation coefficient. Enter negative value as negative number.(to 3 decimals)Hide FeedbackPartially CorrectDOD000F5F4@O:F2C#80F3$Question 2Hint(s) Check My W49 15 17 2056 57 40 21 15% of the variability in y has been explained by the estimated regression equation (to 1 decimal).AAADII۴۹۹F7%[XiYi6F6&7*FB9F9-0F10-1

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Answered: Xi Yi Hint(s) Check M 9 15 17 20 57 40…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Given are five observations for two variables, x and y. xi 3 8 12 18 20 yi 54 57 50 24 11 -select your answer choices- b. The least squares line provided an (good, bad) fit; __ % of the variability in y has been explained by the estimated regression equation (to 1 decimal)
A pediatrician wants to determine the relationship that exists between achild’s height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and conducts the least-squares regression analysis with the simple linear model using StatCrunch. The output is given below: (a) Write down the equation of the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. (b) Interpret the slope and y-intercept, if appropriate. (c) Use the regression equation to predict the head circumference of a child who is 25 inches tall. Assume that the regression model is applicable.(d) It is observed that one child who is 25 inches tall has a head circumference of 17.5 inches. Is the observed value above or below average among all children with heights of 25 inches?
The least-squares regression line relating two statistical variables is given as  = 24 + 5x. Compute the residual if the actual (observed) value for y is 38 when x is 2. 4 38 2
The scatterplot below summarizes husbands’ and wives’ heights in a random sample of 170 married couples in Britain, where both partners’ ages are below 65 years. Summary output of the least squares fit for predicting wife’s height from husband’s height is also provided in the table. b) Write the equation of the regression line for predicting wife's height from husband's height and round to 4 decimal places.y =____ +  * _____husband's height d) Given that RR = 0.08, what is the value of R2R2 for this data set? Round to 3 decimal places
The following table presents the percentage of students who tested proficient in reading and the percentage who tested proficient in math for 5 randomly selected states in the United States. Compute the least-squares regression line for predicting math proficiency from reading proficiency. State Percent Proficientin Reading Percent Proficientin Mathematics      Illinois 75 70      North Carolina 71 73      California 60 59      Georgia 67 64      Florida 66 68 Send data to Excel The equation for the least squares regression line is y = . Round the slope and y -intercept to four decimal places as needed.
A manager wishes to determine the relationship between the number of years her sales representatives have been employed by the firm and their amount of sales (in thousands of dollars) per month. Find the least-squares regression line for the given data. What would be the predicted sales if the sales representative was employed by the firm for 30 years? Is this reasonable? Why or why not? Round the least-squares regression line values to two decimal places. Years employed, x 2 3 10 7 8 15 3 1 11 Sales, y 31 33 78 62 65 61 48 55 120
Suppose Tatiyana is interested in the relationship between language ability and time spent reading. She randomly selects a sample of 30 students from the local high school and collects their scores from a language aptitude test. She surveys the sample asking each student how many hours per month he or she spends reading. Using the sample data, Tatiyana produces a scatterplot with reading time on the horizontal axis and language test scores on the vertical axis. She develops a least squares regression equation where ? is the amount of time spent reading during the month and ?̂ is the predicted value of the language test score. ?̂=3.251x+31.237 Compute the value of ?̂ when a student spends 42 hours reading. Give your answer precise to one decimal place. Avoid rounding until the last step. ?̂= ? points Identify all of the true statements regarding the interpretation of ?̂ when ?=42. The value of ?̂ is ? a. the predicted number of students that read for 42 hours. b. the language test…
A financial analyst is examining the relationship between stock prices and earnings per share. She chooses publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year, and y denoting the current stock price (both in dollars). Based on these data, she computes the least-squares regression line to be =y+−0.2130.046x. This line, along with a scatter plot of her data, is shown below. Based on the sample data and the regression line, complete the following. (a)For these data, current stock prices that are less than the mean of the current stock prices tend to be paired with values for earnings per share that are ▼(Choose one) the mean of the values for earnings per share. (b)According to the regression equation, for an increase of one dollar in earnings per share, there is a…

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