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SCI1020 - Introduction to Statistical Reasoning - S1 2025

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Solve for x in the equation:

2x = 30

Hint: take log to base 10 of both sides and rearrange for x.

Give your answer to ONLY three (3) decimal places.

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The initial population of a town is 15,500 and it grows with a doubling time of 15 years.

What will be the population of the town in 30 years from now?

Give your answer to the nearest integer.

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The value of a building is rising by $10,000 per year. If it is worth $200,000 today, what will it be worth in 3 years?

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The value of your car is decreasing by 10% per year. If the car is worth $10,000 today, what will it be worth in two years? 

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The value of a building is rising by $10,000 per year and it is worth $500,000 today. This pattern of change is best described as:

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The value of your car is decreasing by 10% per year. The pattern of change is best described as

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100%
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x12345678
y1.00241.44431.7867 2.0859 2.3346 2.4742 2.7428 2.8309 

Scatter plots and residual plots were used to assess linear, exponential, and power-law relationships between two variables, x and y, in the dataset above. Answer the questions below.

Image failed to load: nonlinear

1. 
model best fits the data as
[0.5 marks]

2. Find the predicted value of y for x = 5. Give two decimal places. [0.5 marks]

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x12345678
y1.00241.44431.7867 2.0859 2.3346 2.4742 2.7428 2.8309 

Scatter plots and residual plots were used to assess linear, exponential, and power-law relationships between two variables, x and y, in the dataset above. Answer the questions below.

Image failed to load: nonlinear

1. 
model best fits the data as
[0.5 marks]

2. Find the predicted value of y for x = 5. Give two decimal places. [0.5 marks]

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x12345678
y1.00241.44431.7867 2.0859 2.3346 2.4742 2.7428 2.8309 

Scatter plots and residual plots were used to assess linear, exponential, and power-law relationships between two variables, x and y, in the dataset above. Answer the questions below.

Image failed to load: nonlinear

1. 
model best fits the data as
[0.5 marks]

2. Find the predicted value of y for x = 5. Give two decimal places. [0.5 marks]

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Consider the following plot of residuals versus x for a regression analysis.

Which of the following statements IS TRUE about the regression model?

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