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Insurance Premiums ~ Mona is interested in the relationship between the amount insurance companies pay out for automobile collision claims and what they charge their

Insurance Premiums ~Mona is interested in the relationship between the amount insurance companies pay out for automobile collision claims and what they charge their customers in insurance premiums. Using data from 2014, she selects a random sample of 20 US states.

For each state, she calculates the losses incurred by insurance companies per insured driver (Losses) and the average insurance premium for drivers (Premiums). The scatter plot and a summary of the data is given below. The correlation between Losses and Premiums was found to be r = 0.4847.

Round all calculated answers to 4 decimal places.

Variables Mean Sample SD
Losses 133.9155 22.5137
Premiums 879.3815 158.4351

The relationship between Losses and Premiums is best described as Positive and Linear.

1.Calculate the slope and intercept for the linear regression equation that predicts Premiums from Losses.

Note: Do not use rounded values for intermediate calculations!

Slope: ????? and Intercept: ?????

2.What is theR2for this study's linear regression model of Premiums from Losses? ????

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