|
||||||||||||||||||||
|
Solution :
Given that,
r = -0.75
So, Coefficient of determination = r2 = (-0.75)2 = 0.5625
The coefficient of determination is equal to 0.5625 .
Option D) is correct .
A large sample of data is collected in order to study the relationship between the two...
looking for an explanation 15) As part of a study at a large university, data were collected on 224 freshmen computer science 1 (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): xi-average high school grade in mathematics (HSM) x2 = average high school grade in science (HSS) x3-...
In a simple linear regression study between two variables x ( the independent variable) and y (the dependent variable), a random large sample is collected and the coefficient of correlation r = −.98 is calculated. A)Which of the following conclusion may be made? Group of answer choices x and y are almost perfectly correlated, and y increases as x is increased. x and y are almost perfectly correlated, and y decreases as x is increased. x and y are moderately...
A sample of 11 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data. SSR=66, SST=85, summation (x_i-xbar)2=29, summation (x_i-xbar)(y_i-ybar)=50. Calculate the t test statistics to determine whether a statistically linear relationship exists between x and y.
2. A study of the relationship between age and blood pressure yielded the following data Blood Pressure (Y 126 131 161 128 1489 140 148 Test using a significance level of 5% whether there is an increasing linear relationship Age(X) 23 27 45 3 536 37 37 a. between age and blood pressure. Parameter: A- slope of regression line for blood pressure vs.age. Hypotheses: Test Statistic: t.A-A d.f- with the same variance. Rejection Region: Calculated Test: Conclusion P-value. b. Find...
A Regression methods were used to analyze the data from a study investigating the relationship between the ewe’s weight at time of mating, x (in kg), and her lamb’s offspring 7 months after birth, y (in kg). Summary quantities were n = 20 and x y mean 52 28 Standard deviation 3.96 3.92 Correlation between y and x .548 (a). Calculate the least squares estimates of the slope and intercept. (b). Use the equation of the fitted line to predict...
A sample of 6 observations collected in a linear regression study on three variables, x_1(independent variable), x_2(independent variable) and y(dependent variable). The sample resulted in the following data. SSR=72, SST=88 Calculate the F test statistics to determine whether a statistically linear relationship exists between x and y.
A sample of 7 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data. SSR=26, SST=40 Using a 0.05 level of significance, we conclude that there is a significant linear relationship between x and y. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)
A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 6 employees was chosen, and the following data were collected. Distance to work (miles) 1 3 4 6 8 10 Number of days absent 8 5 8 7 6 3 a. Which variable is the independent variable? Which variable is the...
Question 6A regression line can be used to determine the strength of a relationship. determine if there is a cause and effect relationship. predict Y for any X value. establish if a relationship is linear. Question 7 If the correlation coefficient R between two variables is ,it is expected that the slope of the regression line will be positive; positive positive; large negative; small positive; negative Question 8 If the slope of the simple regression line is .12, then the Pearson correlation coefficient r is expected to be positive negative small large
A research firm collected data on a sample of n= 30 drivers to investigate the relationship between the age of a driver and the distance the driver can see. The data is given below Age Age 20 Distance 510 590 560 510 55 63 Distance 420 350 420 300 410 300 390 320 460 490 560 370 510 460 410 420 460 450 280 420 460 360 310 360 380 460 e) Calculate the correlation coefficient? Explain what this means,...