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You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month

for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to run a regression the company's sales history. If 10 months are sampled and the regression output is given below, what can we conclude about the slope of time?


anova009.jpg


1) The slope is equal to 0.


2) Since we are not given the dataset, we do not have enough information to determine if the slope differs from 0.


3) The slope is 10.893 and therefore differs from 0.


4) The slope significantly differs from 0.


5) Not enough evidence was found to conclude the slope differs significantly from 0.


Suppose that a researcher wants to predict the weight of female college athletes based on their height, percent body fat, and age. A sample is taken and the following regression table is produced. Based on the F-test alone, what is the correct conclusion about the regression slopes?



anova044.jpg

1) At least one of the regression slopes does not equal zero.


2) All the regression slopes are equal to zero.


3) We do not have the dataset, therefore, we are unable to make a conclusion about the slopes.


4) We did not find significant evidence to conclude that at least one slope differs from zero.


5) All the regression slopes do not equal zero.


Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. Direct measurement of maximal oxygen uptake (VO2max) is the single best measure of such fitness, but direct measurement is time-consuming and expensive. It is therefore desirable to have a prediction equation for VO2max in terms of easily obtained quantities. A sample is taken and variables measured are age (years), time necessary to walk 1 mile (mins), and heart rate at the end of the walk (bpm) in addition to the VO2 max uptake. The equation from a multiple regression is (V02) = 0.022*(age) - 0.044*(HR) + 0.057*(time) + 2.398. If a person is 36 years old, has a heart rate of 111 bpm, a walking time of 13 minutes, and a maximum oxygen intake of 17.255 L/min, the residual would be 18.208. What is the best interpretation of this residual?

Question 25 options:


1) The max oxygen intake is 17.255 L/min larger than what we would expect.


2) The max oxygen intake is 18.208 L/min less than what we would expect.


3) The max oxygen intake is 18.208 L/min larger than what we would expect.


4) The heart rate is 18.208 bpm larger than what we would expect.


5) The heart rate is 18.208 bpm less than what we would expect.

anova009.jpg

anova044.jpg

Predictor t—ratio P
Constant —0.39 0.?015 height 5.52 <0.0001
percent body fat 0.36 0.4032 age —D.T6 0.4649 1T.252 R-flqfiadj} = T1.61% Analysis of variance SOURCE SS HE
Regression 11404.6? 3301.56
Error 32T3.3T 29?.62
Total 146T3.54

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