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In a focus group, a group of people is asked whether or not they would buy a new

ID: 3202337 • Letter: I

Question

In a focus group, a group of people is asked whether or not they would buy a new soft drink. Their answers are reported by gender in the table below.

Based on this data, what can we conclude about the relationship between gender and interest in the product?



There is no relationship between those two variables.

There appears to be a relationship between the variables, because the percentage of females who would buy the drink is higher than the percentage of males.

There appears to be a relationship between the variables, because the majority of males would not buy the drink.

There is not enough information to answer this question.

1 points   

QUESTION 7

We are usually on the lookout for large correlations near

+1

-1

Either of these options

Neither of these options

1 points   

QUESTION 8

If the correlation of variables is close to 0, then we expect to see

a cluster of points with no apparent relationship on the scatterplot

no explanation of what the scatterplot should look like based on the correlation

a downward sloping cluster of points on the scatterplot

an upward sloping cluster of points on the scatterplot

a cluster of points around a trendline on the scatterplot

1 points   

QUESTION 9

Relationships between two variables are more evident when counts are expressed as percentages of row totals or column totals.

True

False

An economic development researcher wants to understand the relationship between the average monthly expenditure on utilities for households in a particular middle-class neighborhood and each of the following household variables: family size, approximate location of the household within the neighborhood, and indication of whether those surveyed owned or rented their home, gross annual income of the first household wage earner, gross annual income of the second household wage earner (if applicable), size of the monthly home mortgage or rent payment, and the total indebtedness (excluding the value of a home mortgage) of the household.

The correlation for each pairing of variables are shown in the table below:

How would you interpret the relationship between Debt and Utilities?

There is a strong positive linear relationship between debt and utility payments.

High utility payments lead to higher debt.

Debt and utility payments are negatively correlated.

There is no relationship between these two variables.

Gender No Yes Total Female 46.0% 54.0% 100% Male 60.8% 39.2% 100% Total 53.5% 46.5% 100%

Explanation / Answer

we rearranged the data in frequency term and given as

answer is a.There is no relationship between those two variables.

we use chi-squre test to test the relationship between gender and interest in product and

chi-squre=sum((O-E)2/E)=4.4 is less than chi-square(0.05,1)=3.84, which means there is relationship between gender and interest in product.

(7) c, answer is . either of these options

(8) a, answer is , a cluster of points with no apparent relationship on the scatterplot

(9) however image is not showing, generally there is There is a strong positive linear relationship between debt and utility payments.

once again share the image of this question

Gender No Yes Total Female 46 54 100 Male 60.8 39.2 100 Total 106.8 93.2 200 Expected(E) Observed(O) (O-E) (O-E)2/E E(46) 100*106.8/200 53.4 46 -7.4 1.025468165 E(54) 100*93.2/200 46.6 54 7.4 1.175107296 E(60.8) 100*106.8/200 53.4 60.8 7.4 1.025468165 E(39.2) 100*93.2/200 46.6 39.2 -7.4 1.175107296 200 200 0 4.401150922
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