The owner of Gino’s Pizza restaurant chain believes that if a restaurant is located near a college campus, then there is a linear relationship between sales and the size of the student population. Suppose data are collected from a sample of n = 10 Gino’s Pizza restaurants located near college campuses with the following reported sample statistics:

We want to find the equation of the least-squares regression line predicting quarterly pizza sales (y) from student population (x).

1. Compute the Regression Sum of Squares (SSR)

2. Compute the Error Sum of Squares (SSE)

3. Complete the ANOVA Table for Regression

4. What is the standard error for the slope estimate?

The owner of Gino’s Pizza restaurant chain believes that if a restaurant is located near a college campus, then there is a linear relationship between sales and the size of the student population. Suppose data are collected from a sample of n = 10 Gino’s Pizza restaurants located near college campuses with the following reported sample statistics:

We want to find the equation of the least-squares regression line predicting quarterly pizza sales (y) from student population (x).

1. Develop a 95% confidence interval estimate for β₁.

2. Test for the Significance of β₁. Use α = 0.05

3. Use an F-test to determine if the regression model is significant.

4. Compute the R² and interpret.

The owner of Gino’s Pizza restaurant chain believes that if a restaurant is located near a college campus, then there is a linear relationship between sales and the size of the student population. Suppose data are collected from a sample of n = 10 Gino’s Pizza restaurants located near college campuses with the following reported sample statistics:

We want to find the equation of the least-squares regression line predicting quarterly pizza sales (y) from student population (x).

1. Estimate and interpret the sample correlation between population and sales.

= .95  There is high or a true correlation between sales of pizza and student population. Because of high correlation, an upward slope linear relationship between x and y exists.

2. Estimate the slope of the linear regression equation of Sales on Population where Population is the dependent variable.

3. Estimate the intercept of the linear regression equation of Sales on Population where Population is the dependent variable.

4. Compute the Total Sum of Squares (SST)

A student in a noon calculus class is watching two bugs near the center of a wall. One is an ant and the other is a beetle. At noon, the ant is 180 cm directly to the left of the beetle. The ant is crawling right at 30 cm/h and the beetle is crawling up at 45 cm/h. How fast is the distance between the bugs changing at 2:00 PM? Answer with an exact value. cm/h?

On a clear day the electric field in the atmosphere near the earth's surface is 100 N/C, directed vertically downward. (a) If we adopt the convention that the potential at the earth's surface is 0, what is the potential 492 m above the surface? (b) What is the potential at the top of Pike's Peak, 14,110 ft above sea level? (Hint: Do not assume that the surface in part (a) is at sea level.) Explain.

At the equator, the earth’s field is essentially horizontal; near the north pole, it is nearly vertical. In between, the angle varies. As you move farther north, the dip angle, the angle of the earth’s field below horizontal, steadily increases. Green turtles seem to use this dip angle to determine their latitude. Suppose you are a researcher wanting to test this idea. You have gathered green turtle hatchlings from a beach where the magnetic field strength is 50 μT and the dip angle is 56∘. You then put the turtles in a 2.0 m diameter circular tank and monitor the direction in which they swim as you vary the magnetic field in the tank. You change the field by passing a current through a 100-turn horizontal coil wrapped around the tank. This creates a field that adds to that of the earth.

A.) In what direction should current pass through the coil, to produce a net field in the center of the tank that has a dip angle of 62∘ ? [ANSWER: CLOCKWISE]
B.) What current should you pass through the coil, to produce a net field in the center of the tank that has a dip angle of 62∘ ?

Please show step-by-step solution. Thank you!

A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 48,400 ly (light-years) from the galactic center and has a speed of 275 km/s.

a)  Estimate the total mass of the galaxy (billion solar mass) based on the motion of the star. Gravitational constant is 6.674×10⁻¹¹ m³/(kg·s²) and mass of the Sun M_s=1.99 × 10³⁰ kg.

b)  The total visible mass (i.e., matter we can detect via electromagnetic radiation) of the galaxy is 10¹¹ solar masses. What fraction of the total mass of the galaxy is visible, according to this estimate?

1) Near the top of the page the word "safety" was used. How is that meant to be interpreted?

firm—cash, marketable securities, accounts receivable, and inventory. In managing cash and marketable securities, the primary concern should be for safety and liquidity—with secondary attention placed on maximizing profitability. As we move to accounts receivable and inventory, a stiffer profitability test must be met. The investment level should not be a result of happenstance or historical determination but must meet the same return-on-investment criteria applied to any decision. We may need to choose between a 20 percent increase in inventory and a new plant location or a major research program. We shall examine the decision techniques that are applied to the various forms of current assets.

2)what does this mean? "The second major reason for holding cash results from the practice of holding balances to compensate a bank for services provided rather than paying directly for those services."

There are several reasons for holding cash: for transactions balances, for compensating balances for banks, and for precautionary needs. The transactions motive involves the use of cash to pay for planned corporate expenses such as supplies, payrolls, and taxes, but also can include planned acquisitions of long-term fixed assets. The second major reason for holding cash results from the practice of holding balances to compensate a bank for services provided rather than paying directly for those services.

3) Precautionary cash balances are primarily used for what?

Holding cash for precautionary motives assumes management wants cash for emergency purposes when cash inflows are less than projected. Precautionary cash balances are more likely to be important in seasonal or cyclical industries where cash inflows are more uncertain. Firms with precautionary needs usually rely on untapped lines of bank credit. For most firms, the primary motive for holding cash is the transactions motive.

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.7 ppm and standard deviation 1.6 ppm. 38 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.

1. What is the distribution of XX? XX ~ N(,)
2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
3. What is the probability that one randomly selected city's waterway will have less than 10.4 ppm pollutants?
4. For the 38 cities, find the probability that the average amount of pollutants is less than 10.4 ppm.
5. For part d), is the assumption that the distribution is normal necessary? NoYes
6. Find the IQR for the average of 38 cities.
   Q1 =  ppm
   Q3 =  ppm
   IQR:  ppm

Consider a collection of abandoned buildings near the waterfront of an established Midwestern city in the United States. Under what economic and market conditions might this collection of buildings be an investment opportunity?

Some observers claim that high-speed internet connections will constitute a “Death of Distance” and drive a change in real estate markets between urban areas and more isolated locations. Which of the following best explains how this idea is (and will continue to) impact real estate markets?