# Question: Refer to the previous two exercises The sample standard deviation

Refer to the previous two exercises. The sample standard deviation of BP was 13.3. The residual standard deviation of BP when BP_60 and LP_200 are predictors in a multiple regression model is 7.9.

a. Explain the difference between the interpretations of these two standard deviations.

b. If the conditional distributions of BP are approximately bell shaped, explain why most maximum bench press values fall within about 16 pounds of the regression equation, when the predictors BP_60 and LP_200 are near their sample mean values.

c. At x1 = 11 and x2 = 22, which are close to the sample mean values, software reports = 80 and a 95% prediction interval of 80 {16, or (64, 96). Is this interval an inference about where the population BP values fall or where the population mean of the BP values fall (for subjects having x1 = 11 and x2 = 22)? Explain.

d. Refer to part c. Would it be unusual for a female athlete with these predictor values to be able to bench press more than 100 pounds? Why?

a. Explain the difference between the interpretations of these two standard deviations.

b. If the conditional distributions of BP are approximately bell shaped, explain why most maximum bench press values fall within about 16 pounds of the regression equation, when the predictors BP_60 and LP_200 are near their sample mean values.

c. At x1 = 11 and x2 = 22, which are close to the sample mean values, software reports = 80 and a 95% prediction interval of 80 {16, or (64, 96). Is this interval an inference about where the population BP values fall or where the population mean of the BP values fall (for subjects having x1 = 11 and x2 = 22)? Explain.

d. Refer to part c. Would it be unusual for a female athlete with these predictor values to be able to bench press more than 100 pounds? Why?

**View Solution:**## Answer to relevant Questions

Refer to the previous three exercises. a. State and interpret the null hypothesis tested with the F statistic in the ANOVA table given in Exercise 13.22. b. From the F table (Table D), which F statistic value would have a ...For all students at Walden University, the prediction equation for y = college GPA (range 0–4.0) and x1 = high school GPA (range 0–4.0) and x2 = college board score (range 200–800) is = 0.20 + 0.50x1 + 0.002x2. a. ...In the previous exercise, suppose house selling price tends to increase with a straight-line trend for small to medium size lots, but then levels off as lot size gets large, for a fixed value of number of bathrooms. Sketch ...Refer to the previous exercise. a. Explain what the no interaction assumption means for this model. b. Sketch a hypothetical scatter diagram, showing points identified by garage or no garage, suggesting that there is ...Refer to the previous exercise. a. At which income level is the estimated probability of voting for the Republican candidate equal to 0.50? b. Over what region of income values is the estimated probability of voting for the ...Post your question