Question

Subject ID	education	memory
1	16	112
2	18	117
3	14	96
4	20	114
5	16	106
6	14	80
7	14	89
8	12	94
9	18	113
10	13	111
11	17	112
12	18	84
13	12	108
14	16	95
15	12	117
16	14	83
17	8	106
18	12	100
19	21	120
20	15	103

The data set for this question set (Tab Q1 in the Excel data file) comes from a research project that tracks the elderly residents in a community to monitor their cognitive function and general health. Based on the literature, education is considered a protective factor against dementia, and memory decline is usually the first sign of dementia. So the researchers would like to know whether education level (measured in number of years of formal schooling) is correlated with memory function (a standardized memory test score) in their sample of elderly residents

f. What is the proportion of variance shared between the two variables? (That is, how much of the variance in one variable can be predicted by the variance in the other variable?) (2 points total: 1 if the process is correct but the answer is wrong)

g. If the researcher wants to perform a two-tailed hypothesis test using this data set so that she can generalize the relationship between the two variables from the sample to the population, what would be the null and alternative hypothesis? Write the hypotheses in words and in symbol notation. (2 points total: 1 for each hypothesis, .5 for written, .5 for symbol notation)

Answer 1

Ans -plaration betaeen to The paopecutfonf vaiome vofiables fst ven te coef ficient of detominat R O.27275 RE(ai 2 RE (0.29275) R O.O944 noll cud altenative hpotkess Ho: coefffcient educatfon Cthore fs roelatiansp a educautfon aud memo FO th: Coefficfent of educatfon +0 ( there is eationship blw aeotion aud menor)