As per HomeworkLib policy, first four subquestions are solved out of more than 4 subquestions posted. Kindly post remaining sub part separately.
a) value of r = square root of r^2 = √(0.7496) = 0.8658
b) r indicates correlation coefficient between variable X (Weight of Car) and Y (Miles per Gallon).
correlation coefficient value of 0.8658 indicates that there is 86.58% correlation between weight of car and miles per gallon i.e. there is strong linear postive correlation between weight of car and miles per gallon.
c) r^2 value indicates coefficient of determination i.e. % of variation present in Y or dependent variable that is explained by independent variable/s
here r^2 = 0.7496 which indicates that 74.96% of variation present in Miles per Gallon variable is explained by Weight of Car variable.
d) Y = 42.825 - 0.006*X
X=3000
Y = 42.825 - 0.006*3000 = 24.825
You are given the following regression equation for a scatter plot which The displays data Weight...
13. You are given the following regression equation for a scatter plot which The displays data for x = Weight of Car (in pounds) and y = Miles per Gallon in City: y = −0.006x + 42.825 r2 = 0.7496 (Note: The scatter plot graph is attached to the Canvas assignment as a separate document.) (a) Find the value of r based on the information given. (b) Based on your value of r, what conclusion can you make about the...
You are given the following regression equation for a scatter plot which The displays data for X= weight of car (in pounds) and y= Miles per gallon in City: Equation: y=-0.006x + 42.825 and r2= 0.7496. a. find the value of r2 based on the information given. b. Based on your value of r, what conclusion can you make about the correlation of this data? c. What does the value of r2 tell you about the regression? d. Use the...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significa correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, x 758 621 518 510 492 483 (a)...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. (a)x=180 (b)x=90 (c)x=120 (d)x=50 Calories, x Sodium, y 150 ...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying comma xHours spent studying, x 0 2...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables has a significant correlation.) Then use the regressiorn equation to predict the value of y for each of the given x-values, if meaningful. The table shows the shoe size and heights (in) for 6 men Shoe size: x-T8.5 110T15|130|135 (a) x=size 10 0 (b)x-size 10.5 3.5 745 725(c)x-s size 16.0 (d)x- size...
8. The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. (a) Find the probability that an individual woman has a pregnancy shorter than 259 days. (b) If 36 women are randomly selected, find the probability that they have a mean preg- nancy shorter than 259 days. (c) There should be a difference in your method for the previous two questions. Explain what you did differently for each problem and...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 150 170 130 120 90 180 (a)...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, X 2 5 5 (a) x =...
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. The table shows the shoe size and heights (in.) for 6 men. Shoe size, x Height, y 6.0 66.5 10.0 67. 5 10.5 7 1.5 12.0 72.5 13.0 74.5 13.5 72.5 Find the regression equation. (Round to three decimal places as needed.)