Here is an Excel printout of a regression problem. Use this for the following 4 questions.
Regression StatisticsMultiple R 0.2288
R Square 0.0524
Adjusted R Square 0.0415
Standard Error 2.5166
Observations 89
ANOVA
df SS MS F p
Regress. 1 30.45 30.45 4.81 0.0310
Residual 87 550.99 6.33
Total 88 581.44
Coefficients Standard Error t Stat P-value
Intercept 33.12 27.6000 1.2000 0.2334
X -2.56 1.1675 -2.1927 0.0310
Find the "percentage of variance accounted for".
a. 22.88%
b. 5.24%
c. 4.15%
d. 2.5166%
Answer: b. 5.24%
What is the value of r?
a. -0.2288
b. 0.2288
c. 0.0524
d. -0.0524
e. 1.0000
Answer: a. -0.2288
What is the predicted value for X=10?
a. 25.60
b. 31.20
c. 7.52
d. 58.72
Answer: c. 7.52
Find a 95% C.L.I. for the answer to the previous problem, where x=10. (y(hat) denotes the answer to previous question.)
a. y(hat) +/- 2.5166
b. y(hat) +/- 1.960
c. y(hat) +/- 16.07
d. y(hat) +/- 4.933
Answer: d. y(hat) +/- 4.933
Learn More :
Correlation and Regression Analysis
- What does 1 - r^2 measure?
- Which of the following statements is not correct regarding the correlation.
- The primary purpose of a regression equation is to
- The ratio of SS(Regression) divided by the SS(Total) is also called the
- Which of the following is not based on a correlation or a regression line relating y to x?
- The percentage of variance accounted for
- The standard error is
- A regression equation is used to predict women's Weight (in pounds) from their Height (in inches). The correlation between Weight (W) and Height (H) turned out to be 0.70 . The average H was 64 inches and the average W was 119.6 pounds.
- In a regression problem, n=207 and SS(Residual)=0. Find the correlation coefficient.
- What is the formula for the correlation coefficient in terms of the cov?
- The coefficient of correlation was computed to be -0.60. This means
- We obtained the following regression equation: y(hat) = 3.5 + 2.1x.. Which of the following statements are correct?
- The coefficient of correlation.
- In a regression problem, n=52, SS(Total)=400, and r = -0.8367 Find the Standard Error.
- Find the intercept and slope of the regression line to predict Y from X.
- The correlation between X=person's weight and Y=person's height is 0.70 . What is the correlation for the same data set if we had used X=person's height and Y=person's weight?
- Compute the correlation r: Given: (E)X=40, (E)Y=20, (E)XY=300, (E)X2=580, (E)Y2=400, n=10.
- An Inverse Relationship means the trendline will have a _______ slope.
- If all the points are on the regression line, then
- A correlation of 0.02 would indicate:
- In a regression problem, the slope = 0.40 The mean and standard deviation of the X variable are both 100. The mean and standard deviation of the Y variable are both 200. Find the correlation r.
- What is the difference between (beta)1 and b1 ?
- R-Square values can range from _____ to ______.
- If the p-value (for the slope) on a regression printout = 0.00001 then