Question 1 If the value of the correlation coefficient between X and Y gets smal
ID: 3312008 • Letter: Q
Question
Question 1
If the value of the correlation coefficient between X and Y gets smaller and smaller (i.e. closer to zero), the prediction for Y
A gets larger and larger
B gets closer to the mean of Y
C gets closer to the mean of X
D does not change
Question 2
A regression analysis was conducted and the SSResid (the residual sum of squares) was found to be 150. If SSReg (the regression sum of squares) is equal to 350, what is the coefficient of determination?
A 0.429
B 0.700
C 0.300
D 2.333
Question 3
Prior to introducing coffee, a shop want to trial various brewing times and quantities of coffee. In their experiment to determine the best tasting coffee, coffee is made using 40g, 50g and 60g of coffee and brewed for 5, 6, 7 or 8 minutes. Taste is rated for each combination of quantity and brewing time. How many treatments are in the experiment?
A 4
B 3
C 7
D 12
Question 4
For a two-factor experiment with 4 levels of factor A and 5 levels of factor B and n=10 in each treatment condition, there is a total of _____ subjects in each level of factor A and a total of _____ subjects in each level of factor B.
A 10, 10
B 40, 50
C 50, 40
D 200, 200
Question 5
The above equation implies that an
A increase of €1 in price is associated with a decrease of €5 in sales
B increase of €5 in price is associated with a increase of €5,000 in sales
C increase of €1 in price is associated with a decrease of €55,000 in sales
D increase of €1 in price is associated with a decrease of €5,000 in sales
Question 6
A researcher wants to test whether exercise affects performance on an aptitude test. The researcher intends to have 6 treatments and 12 people per treatment. What will the degrees of freedom associated with F be?
A 5, 66
B 6, 72
C 6, 72
D 5, 12
Question 7
This is based on a sample size of 50 patients and is associated with r = -0.61. Using this information what is the proportion of variance in yearly online purchases that is accounted for by yearly income?
A 0.61
B -0.61
C -0.37
D 0.37
Question 8
The advertising costs of two branches differ by €20,000. What will the predicted difference in their sales be?
A €65,000
B €72,000
C €7,000
D €3.25
Question 9
A study was conducted investigating diabetes. Suppose we have n pairs of observations (x1, y1), (x2, y2), …, (xn, yn), where e.g. xi and yi denote the age (measured in years) and the blood glucose level (measured in mmol/L) of the ith person. Suppose the correlation coefficient between age(in years) versus blood glucose level (in mmol/L) is 0.40. What is the correlation coefficient of age measured in months versus blood glucose level measured in mg/dl? [1 year= 12 months; 1 mmol/L = 18mg/dl]
A 0.267
B none of the other answers are correct.
C 0.400
D Cannot be determined from information given. You would need to convert the original x and y values and then calculate the correlation coefficient.
Question 10
This is based on a sample size of 50 patients and is associated with r = -0.61. If you know that SSE=12.3, what would the standard error of the estimate be?
A -0.61
B 0.37
C 12.3
D 0.51
y 60000- 5xExplanation / Answer
3. D. 12
12 treatments are there in the experiment as there are 3 quantities of coffee and four brewing time, so, 12 varieties of coffee can made
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