Question

In: Statistics and Probability

It was published that children who have longer first names tend to achieve higher grades (%)...

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

Solutions

Expert Solution

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

orchestra answered 2 years ago

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