A regression between foot length (y) ( in cm) and height (x) ( in inches) for 33 students resulted in the following regression equation: y^=10.9+0.23x One student in the sample was 73 inches tall with a foot length of 29 cm. What is the residual for this student?
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A regression between foot length (y) ( in cm) and height (x) ( in inches) for 33 students resulted in the following regression equation:
y^=10.9+0.23x
One student in the sample was 73 inches tall with a foot length of 29 cm. What is the residual for this student?
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- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were: ˆy=b0+b1xy^=b0+b1xb0=33.611b0=33.611b1=−0.718b1=-0.718r=−0.735r=-0.735 Use this to predict the number of situps a person who watches 12 hours of TV can do (to one decimal place)Find correlation coefficient between the exchange and expenditure from the datagiven below: Obtain the regression equation of exchange on expenditure expenses and find out theexpected exchange of a firm when expenditure is Rs. 25 lakhs. Also find coefficientof determination and interpret your result.A study of king penguins looked for a relationship between how deep the penguins dive in meters (x) and how long they stay underwater in minutes (y). The study reported that the regression equation was ˆy=−0.044x+4.937y^=-0.044x+4.937 and the coefficient of determination was 0.81What is the correlation coefficient for this data set (round your answer to 2 decimal places)?
- Suppose that a random sample of 200 twenty-year-old men s selected from a population and that these men's height and weight are recorded. A regression of weight on height yields Weight=(-95.4336) +3.7824 x Height, R2 = 0.78, SER=9.8, where Weight is measured in pounds and Height is measured in inches. What is the regression's weight prediction for someone who is 73 inches tall? The regression's weight prediction for someone who is 73 inches tall is pounds. (Round your response to two decimal places.) A man has a late growth spurt and grows 1.7 inches over the course of a year. What is the regression's prediction for the increase in this man's weight? The regression's prediction for the increase in this man's weight is pounds. (Round your response to two decimal places.) Suppose that instead of measuring weight and height in pounds and inches these variables are measured in centimeters and kilograms (1 in = 2.54 cm and 1 lb = 0.4536 kg). Suppose the regression equation in…Find the correlation coefficient given the estimated regression equation = 25+6x and ² = .8754.Suppose that a random sample of 200 twenty-year-old men is selected from a population and that these men's height and weight are recorded. A regression of weight on height yields Weight= (-101.3982)+ 4.0188 x Height, R = 0.83, SER = 10.4, where Weight is measured in pounds and Height is measured in inches. What is the regression's weight prediction for someone who is 71 inches tall? The regression's weight prediction for someone who is 71 inches tall is pounds. (Round your response to two decimal places.) A man has a late growth spurt and grows 1.2 inches over the course of a year. What is the regression's prediction for the increase in this man's weight? The regression's prediction for the increase in this man's weight is I pounds. (Round your response to two decimal places.) Suppose that instead of measuring weight and height in pounds and inches these variables are measured in centimeters and kilograms (1 in = 2.54 cm and 1 lb = 0.4536 kg). Suppose the regression equation in…
- One set of 20 pairs of scores, X and Y values, produces a correlation of r = 0.70. If SSY = 150, calculate the standard error of the estimate for the regression line9. A regression between foot length (response variable in cm) and height (explanatory variable in inches) for 33 students resulted in the following regression equation: foot length = 10.9+0.23- height One student in the sample was 73 inches tall with a foot length of 29 cm. What is the residual for this student? (а) 0 ст (b) 1.31 cm (c) 27.69 cm (d) 29 cmA linear relationship exists between two variables x and y. The correlation coefficient was calculated for the sample data and is equal to -0.93. Using the estimated regression equation, a straight line that will best fit the data points can be drawn through the points on the scattergram.The line slopes downward from left to right and the points are scattered close to the line. True or false
- For a group of children, mean age is 10 years with S.D. 2·5 years. The average height of the group is 125 cms with S.D. of 13 cms. The coefficient of correlation between age and height is 0-6. Write the equation of two regression lines and explain their use.In a simple linear regression, the following sample regression equation is obtained:yˆ=447−29x.y^=447−29x. a. Interpret the slope coefficient. As x increases by 1 unit, y is predicted to decrease by 29 units. As x increases by 1 unit, y is predicted to increase by 29 units. As x increases by 1 unit, y is predicted to decrease by 447 units. As x increases by 1 unit, y is predicted to increase by 447 units. b. Predict y if x equals −16.A team from UNHABITAT took a random sample of 230 households in a city to better understand how the size of a house (measured in metres) is related to the number of people living in that house. They performed a regression analysis on the data and found that regression model had an R² = 18.3%. What is the correlation between the size of a house and the number of people living in that house? 0.667 0.183 0.033 0.904 0.428
