In: Statistics and Probability
It was published that children who have longer first names tend to achieve higher grades (%) in elementary school. For example, Zai (short name, only three letters) may achieve a lower grade than Kabiralina (much longer name, ten letters). A study was conducted to investigate the influence of name length on grades from a local sixth grade class. Is there such a relationship?
NAMES | GRADES |
Aaralyn | 76 |
Baldasarre | 72 |
Cai | 84 |
Daenerys | 71 |
Ean | 74 |
Famke | 79 |
Gainella | 73 |
Hakizimana | 73 |
Ichnoyotl | 74 |
Jadzia | 88 |
Kabiralina | 83 |
Lakshmina | 75 |
Maconaquea | 73 |
Nahuati | 87 |
Ofek | 77 |
Paitalyi | 74 |
Qi | 87 |
Raghnallia | 81 |
Sada | 73 |
Tabananica | 79 |
Ulfah | 89 |
Vadim | 84 |
Wahmenita | 88 |
Xanthusia | 79 |
Yael | 85 |
Zagiri |
81 |
The appropriate test for this problem is:
a. correlation
b. regression
c. multiple regression
The obtained statistic is:
a. - . 56
b. - .65
c. - .53
d. - .35
The associated p value is:
a. .168
b. .861
c. .038
d. .083
Decision is:
a. reject the null
b. retain the null
Conclusion is:
a. names are significantly correlated with grades in a positive direction
b. names are significantly correlated with grades in a negative direction
c. names are significantly correlated with grades in both directions
d. no conclusion can be drawn
for above data:
The appropriate test for this problem is
a. correlation
The obtained statistic is:
d. - .35
The associated p value is:
d. .083
Decision is:
b. retain the null
Conclusion is: d. no conclusion can be drawn