random sample of 100 families the variances of the savings is one quarterof the variance of the income and the coefficient of correlation between S,and Y, is found to be 0.40. Obtain the estimate of m. Illustration 15.29. Regression of savings S, of a family over income Y,may be expressed as S, = A + Y,1where A and m are constants. In a1/m

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Answered: random sample of 100 families the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What does this formula compute? E (Y-Y')² N Oest Select one: O a. Variance of Y b. Variance of the slope c. Standard deviation of Y O d. Standard error of the slope
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K The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 63 inches. Is the result close to the actual weight of 532 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. 58 50 65 59 59 48 D 414 312 499 450 456 260 =+x (Round to one decimal place as needed.) What is the best predicted weight of a bear with a chest size of 63 inches? The best predicted weight for a bear with a chest size of 63 inches is 566 pounds. 3 ▸
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= - 0.884 Calculate the coefficient of determination. (Round to three decimal places as needed.)
For variables X and Y we have that the correlation between them is 0.9. Also the standard deviation of Y is 8, while the standard deviation of X is 2. What is the slope of the regression equation that attempts to predict Y from X? Use two decimal places in your answer. Your Answer:
The slope D of the sample regression line provides a measure of O1.the change in the population value of the dependent variable for every unit change In the Independent varlable. O 2. the change in the population average value of the dependent varlable for overy unit change in the independent varlable, 03.the change In the population value of the independent varlable for every unit change in the dependent varlable. 04.the change in the population average value of the independent variable for every unit change in the dependent varlablo. O 5.the change in the estimated population value of the dependent variable for every unit change in the Independent varlable. O 6.the change in the estimated population average value of the dependent variable for every unit change in the independent varlable. O 7. the change in the estimated population value of the independent variable for every unit change in the dependent variable, O 8. the change in the estimated population average value of the…
Use the regression line to estimate the number of trials it would take to learn these tricks if a dolphin received five treats per trick. Y for X = 5 would be _________.
A linear regression equation is computed for a sample of n = 13 pairs of X and Y scores. For the analysis of regression testing the significance of the equation, what are the df values for the F-ratio? O 2, 11 O 1, 11 O 1, 12 O 2, 10
J 1 The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response why variable is city fuel consumption in miles/gallons. The predictor X variables are weight weight in pounds, DISP engine displacement leaders NHW Y Highway fuel consumption in miles/gallons. It's only one predictor X variable is used to predict the city fuel consumption, which single variable is best? Why? The best variable is (WT/HWY/DISP) because it has the best combination of (large/small) p-value, (answer) and (large/small) adjusted R^2 (answer) (type integers are decimals. Do not round)
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Prev The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, y = bo + b₁x, for predicting the number of bids an Item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, It would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars 28 33 36 42 45 Number of Bids 1 7 8 9 10 Step 3 of 6: Find the estimated value of y when x = 33. Round your answer to three decimal places. Table Copy Data Next
K Fit a regression line to the data shown in the chart, and find the coefficient of correlation for the line. Use the regression line to predict life expectancy in the year 2000, where x is the number of decades after 1900. year, x 0 (1900) life expectancy, y 49.1 years 51.4 years 2 (1920) 4 (1940) 53.0 years 6 (1960) 54.2 years 55.2 years 8 (1980) Choose the regression line. OA. y = 0.750x - 49.58 O C. y = 0.750x + 49.58 OB. y=49.58x + 0.750 = 49.58 ○ D. y = The life expectancy in the year 2000, rounded to one decimal place is years.

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random sample of 100 families the variances of the savings is one quarter of the variance of the income and the coefficient of correlation between S, and Y, is found to be 0.40. Obtain the estimate of m.