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Sophie [7]
3 years ago
11

An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular

interest was whether higher income would result in shoppers spending more on groceries. A random sample of shoppers at a local supermarket was obtained, and a questionnaire was administered asking about the weekly income of the shopper’s family and the grocery bill for that week. The gender of the shopper was also obtained. The correlation was found to be r = 0.649 . The amount of variation in the response explained by the regression line is: 0.421 %. 64.9 %. 42.1 %. 0.649 %.
Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

42.1% of variation in the response is explained by the regression line

Step-by-step explanation:

Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.

If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.

There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.

This means, for this question we need to calculate the Coefficient of Determination.

Correlation coefficient = r = 0.649

Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %

This means that 42.1% of variation in the response is explained by the regression line.

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A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle
Gnesinka [82]

Answer:

7.193 ft

Step-by-step explanation:

    |\

    |   \

    |      \

    |         \

h  |            \      10 ft

    |               \

    |                  \

    |            46°   \

    ---------------------

For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.

sin A = opp/hyp

sin 46° = h/10

h = 10 sin 46°

h = 7.193

Answer: 7.193 ft

4 0
2 years ago
6x – 7y = 25<br> 15x+3y = 42
Dmitrij [34]
The answer would =-1
8 0
2 years ago
An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it
lesya692 [45]

Answer:

Someone calculated his or her average speed to 7.46 Miles per hour (mph) This calculation will help you calculate your average speed when you have covered a certain distance over a certain time.

Step-by-step explanation:

The re

sults your produce from the speed calculator input will come out in a variety of forms You can also find a report on your speed in terms of kilometres per hour, meters per minute and metres per second. There is also a report on the time it takes you to travel certain distances. This report shows you min:sec per kilometre, seconds per 100 .

6 0
3 years ago
Idk what this is can you help me? :(
Flura [38]

Answer:

9

Step-by-step explanation:

If you add 9 to both sides, you will isolate the 'x' term.

hope this helps :)

5 0
3 years ago
Ok now these are my very last points please help
Snowcat [4.5K]

Answer:

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5 0
3 years ago
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