Question

For a set of data, x is the explanatory variable. Its mean is 8.2, and its...

For a set of data, x is the explanatory variable. Its mean is 8.2, and its standard deviation is 1.92.

For the same set of data, y is the response variable. Its mean is 13.8, and its standard deviation is 3.03.

The correlation was found to be 0.223.

Select the correct slope and y-intercept for the least-squares line.

  • Slope = -0.35

    y-intercept = -10.9

  • Slope = -0.35

    y-intercept = 10.9

  • Slope = 0.35

    y-intercept = -10.9

  • Slope = 0.35

    y-intercept = 10.9

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given the following data set, let x be the explanatory variable and y be the response...
Given the following data set, let x be the explanatory variable and y be the response variable. x 8 2 2 6 6 3 1 y 3 8 9 6 4 7 9 (a) If a least squares line was fitted to this data, what percentage of the variation in the y would be explained by the regression line? (Enter your answer as a percent.) ANSWER: % (b) Compute the correlation coefficient: r=
Given the following data set, let x be the explanatory variable and y be the response...
Given the following data set, let x be the explanatory variable and y be the response variable. x 1 6 7 3 1 5 2 y 10 4 4 7 9 5 8 (a) If a least squares line was fitted to this data, what percentage of the variation in the y would be explained by the regression line? (Enter your answer as a percent.) ANSWER: % (b) Compute the correlation coefficient: r=
1. The following data have been observed on the dependent variable Y and on an explanatory...
1. The following data have been observed on the dependent variable Y and on an explanatory variable X: yi 22 38 16 39 55 xi 10 35 20 30 20 (a) Calculate the ordinary least squares (OLS) estimates of the intercept and slope parameters. (b) Calculate the sample variance of both variables (S²x and S²y) and the sample correlation between X and Y . Explain what the calculated value of the correlation means.
Of the two variables, HighJump and LongJump ,which do you think should be the explanatory variable...
Of the two variables, HighJump and LongJump ,which do you think should be the explanatory variable and which should be the response variable? Or, does the choice not matter, as neither is “prior” to the other? On your scratch paper, identify which variable you have chosen as the explanatory variable and by hand use the means, sd, and the r given to find the equation of the Least Squares Regression line. Then reverse your choices for explanatory variable and response...
In linear regression, the independent variable is called the a. Response Variable b. The explanatory variable...
In linear regression, the independent variable is called the a. Response Variable b. The explanatory variable c. The extrapolted variable d. an outlier A graph that will help to one to see what type of curve might best fit the bivariate data a. Pie chart b. stem-leaf plot c. dot plot d. scatter plot The technique of extending a regression line beyond the region of the actual data a. Least Squares Regression b. Variability c. Extrapolation d. Residual analysis The...
In a survey, a statistician analyzed the relationship between the Mothers-Heights (explanatory variable x) and the...
In a survey, a statistician analyzed the relationship between the Mothers-Heights (explanatory variable x) and the Daughters-Heights (response y) by using the regression method. When he drew the regression line, he found that at x1 = 0 the predicted response is ˆy1 = 29.9, and at x2 = 1 the predicted response is ˆy2 = 30.43. Answer the following questions providing all the details. 1. Find the intercept a and slope b of the regression line of Daughters-Heights on Mothers-Heights....
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data with y as the response variable. x y 107.8 -31.6 73.5 10.7 102 -13.1 44.7 66.8 89.7 2.9 72.7 46.1 76.4 6.7 76.1 22.6 92.2 -0.7 85.4 11.7 98 -8.2 89.8 1.9 66.2 77.1 80.6 21.3 43.4 92.9 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of -4.3...
A study gathers data on the outside temperature during the winter, in degrees Fahrenheit, and the...
A study gathers data on the outside temperature during the winter, in degrees Fahrenheit, and the amount of natural gas a household consumes, in cubic feet per day. Let the temperature be the explanatory variable and gas consumption the response variable. Assume that the relationship between these two variables is linear. The least-squares regression line for predicting gas consumption from the outside temperature is: Consumption = 1360 - 20*Temperature In the equation, gas consumption is the response (dependent or predicted)...
Compute the least-squares regression equation for the given data set. Round the slope and y -intercept...
Compute the least-squares regression equation for the given data set. Round the slope and y -intercept to at least four decimal places. x 5 4 2 6 3 y 4 5 1 3 6 Send data to Excel Regression line equation: = y
Compute the least-squares regression equation for the given data set. Round the slope and y -intercept...
Compute the least-squares regression equation for the given data set. Round the slope and y -intercept to at least four decimal places. x 6 1 4 7 3 y 2 4 1 7 6 Regression line equation: y=?