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I’m working on a statistics exercise and need an explanation and answer to help me learn.

1.While
attempting to measure its risk exposure for the upcoming year, an
insurance company notices a trend between the age of a customer and the
number of claims per year. It appears that the number of claims keep
going up as customers age. After performing a regression, they find that
the relationship is (number of claims per year) = 2.046*(age) + 4.976.
Interpret the slope.

1)

When number of claims per year increases by 1 claim, age increases by 4.976 years.

2)

When number of claims per year increases by 1 claim, age increases by 2.046 years.

3)

When age increases by 1 year, number of claims per year increases by 2.046 claims per year.

4)

When age increases by 1 year, number of claims per year increases by 4.976 claims per year.

5)

We are not given the dataset, so we cannot make an interpretation.

2.Suppose
that in a certain city, the rent of an apartment is proportional to the
size of the apartment in square feet. You use regression to try to
quantify this relationship and the regression output from a sample of 10
apartments is shown below. What can we conclude about the slope of
size?

1)

Since we are not given the dataset, we do not have enough information to determine if the slope differs from 0.

2)

Not enough evidence was found to conclude the slope differs significantly from 0.

3)

The slope is 0.248 and therefore differs from 0.

4)

The slope is equal to 0.

5)

The slope significantly differs from 0.

3.Suppose that a researcher wants to predict the weight of female college
athletes based on their height, percent body fat, and age. A sample is
taken and the following regression table is produced. Based on the
F-test alone, what is the correct conclusion about the regression
slopes?

1)

We do not have the dataset, therefore, we are unable to make a conclusion about the slopes.

2)

All the regression slopes do not equal zero.

3)

All the regression slopes are equal to zero.

4)

At least one of the regression slopes does not equal zero.

5)

We did not find significant evidence to conclude that at least one slop

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