$20 $10 Avg Temp $0 10 20 30 40 -$10 -$20 Residual

Data was collected for a regression analysis where sleep quality (as a percentage) depends on the amount of caffeine consumed in a day (measured in mg). bo was found to be 92.7, b₁ was found to be -0.76, and R² was found to be 0.86. Interpret the slope of the line. O On average, each one mg increase in caffeine consumed increases a person's sleep quality by 92.7%. O On average, when x = = 0, a person has a sleep quality of -0.76%. O On average, each one mg increase in caffeine consumed decreases a person's sleep quality by 0.76%. On average, when x = 0, a person has a sleep quality of 92.7%. O We should not interpret the slope in this problem. O We should interpret the slope in this problem, but none of the above are correct.

Step 1. Find the estimated slope. Round your answer to three decimal places. Step 2. Find the estimated y-intercept. Round your answer to three decimal places. Step 3. Determine the value of the dependent variable y at x = 0. Answer: A) b0 B) b1 C) x D) y Step 4. Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable y. Step 5. Find the estimated value of y when x = 1.5. Round your answer to three decimal places. Step 6. Find the value of the coefficient of determination. Round your answer to three decimal places.

# The table contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2014. The regression model for this data is y 0.7x where x is the state population (in millions) and y is the number of State licensed drivers (in millions) in the state. (A) Draw a scatter plot of the data and a graph of the model on the same axes. Choose the correct graph below OC Diverse) 07 Se pun CHANG The estimated population of state Jin 2014 is (Type a whole number Round to the nearest thousand as needed) 0.5 (8) If the population of state H in 2014 was about 1.6 million, use the model to estimate the number of licensed drivers in state H in 2014 The estimated number of licensed drivers in state H in 2014 is (Type a whole number. Round to the nearest thousand as needed) (C) If the number of licensed drivers in state J in 2014 was about 1,043.000, use the model to estimate the population of state Jin 2014 AOCDEFO А С OD…

Suppose trips/wk=3.1 –0.15(dist) is a linear model that predicts the number of supermarket trips a family makes per week when they live a certain distance (in miles) from a supermarket. It was established by sampling people who live within 10 miles of a supermarket. Which of the following is the correct interpretation of the slope? a. For each additional trip that the family makes, they live 0.15 miles away from the store b. For each additional mile away from the store the family lives, they make 0.15 more visits per week c. For each additional mile away from the store the family lives, they make 0.15 fewer visits per week d. For each additional trip they make to the store, they live an additional 3.1 miles away. e. For each additional mile away they live, they make 3.1 more trips to the stor.

The table and scatter plot show the number of years of experience, x, and the hourly pay rate, v, for each of 11 cashiers in Florida. The equation of the line of best fit is y= 0.9x+8.02. Experience, x | Hourly pay rate, y (in years) (in dollars) 22 0.8 7.42 20- 1.0 9.71 18- 16- 1.3 8.00 Hourly 14- 2.0 9.08 pay rate 12- (in dollars) 3.3 11.40 10 3.6 12.12 8. 3.8 13.00 6. 5.0 14.50 7.0 12.40 8.6 15.46 10 Experience (in years) 8.8 15.87 Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations. Observed hourly pay Predicted hourly pay Number of years of experience Residual rate (in dollars) rate (in dollars) (in dollars) 5.0 7.0

In regression equation alpha is called as а. Al O b. Dependent variable c. Slope d. Intercept

A linear regression model is designed to predict service charges by a bank (in dollars per month) based on sales revenues of 26 companies who use the services (in millions of dollars). Partial output from Excel gives ŷ = -5428 + 32.756x,, with SSE = 117600, and the p-value = 0.04022 for the estimated slope. Interpret the standard error of the estimate. A B E Approximately 95% of the observed service charges fall within $117600 of the least squares line None of the suggested answers are correct For every $1 million increase in sales revenue, we expect a service charge to increase by $117600 Approximately 96% of the observed service charges fall within $140 of the least squares line. Approximately 95% of the observed service charges equal their corresponding predicted values

Suppose trips/wk =3.1 -0.15(dist) is a linear model that predicts the number of supermarket trips a family makes per week when they live a certain distance (in miles) from a supermarket. It was established by sampling people who live within 10 miles of a supermarket. Which of the following is the correct interpretation of the slope? O a. For each additional trip that the family makes, they live 0.15 miles away from the store O b. For each additional mile away from the store the family lives, they make 0.15 more visits per week O. For each additional mile away from the store the family lives, they make 0.15 fewer visits per week O d. For each additional trip they make to the store, they live an additional 3.1 miles away. O e. For each additional mile away they live, they make 3.1 more trips to the stor.

Growth charts are often used to monitor children's health. Suppose the average weight for a 1 year old and a 30 month old are 9.6 kilograms and 13.5 kilograms, respectively. a. Find the equation that relates a child's weight (in kilograms) to age (in months), assuming that weight is a linear function of age from 1 year old. b. Provide a detailed interpretation of the slope. C. What is the estimated weight of a 3 year old child?