1. Suppose two variables under study are temperature in degrees Fahrenheit (y) and temperature in degrees Celsius (x). The ‘regression line’ for this situation is:
Y ?=9/5 X+32
Assuming there is no error in observing temperature, the correlation coefficient would be expected to be:
a. 9?5
b. 5?9
c. -1
d. +1
e. 0
2. An investigator studies 50 pairs of unlike twins and reports that male birth weight (y) can be predicted by female birth weight (x) using the following equation (all weights in grams):
Y ?=0.403X+1221
One can conclude from this that:
a. mean weight of twin brothers of girls who weigh 1000 g is predicted to be 1624 g
b. mean weight of twin sisters of boys who weigh 1000 g is predicted to be 1624 g
c. sample mean weight of the girls is 1221 g
d. sample mean weight of the boys is 1221 g
e. the correlation between girl’s weight and boy’s weight is 0.403
3. A study was conducted to investigate the relationship between the estriol level of pregnant women and subsequent height (in centimeters) of their children at birth. A Pearson’s correlation coefficient was computed and found to be r= 0.411. The researcher decided to re-express height in millimeters rather than centimeters and then recomputed r.The recalculation yields the following value of r:
a. 0.000
b. 0.0411
c. 0.00411
d. 0.411
e. cannot be determined from data available
4. The regression equation for predicting the number of speeding tickets from the driver’s age is . Y ?=-0.06X+5.5.
How many tickets do you predict a 20 year old would get?
a. 5.5
b. 5.0
c. 4.3
d. 0.06
e. -0.06
5. Why is a non-parametric test, such as chi-square test called a distribution free test?
6. Assume that the Pearson correlation coefficient for completing voluntary homework and final grade for 20 students is 0.74. Test whether this correlation is statistically significant at ?=0.05 and give a conclusion statement.
7.What is the standard error of estimate? What is the standard error of the slope?
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