Question 1 The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries.

grams	Vitamin C content in mg
45	7.4
55	11.9
65	16.1
75	20.5
85	24.7
95	29.2
105	33.9

A) Find the regression equation: =+ Round your answers to 3 decimal places

B) Answer the following questions using your un-rounded regression equation.

If we test 135 grams of raspberries what is the expected Vitamin C content? (round to the nearest tenth)

Question 2

The table below shows , the number of thousands of state-registered automatic weapons and , the number of murders per 100,000 residents for several Northwestern states.

	11.8	8.2	7.1	3.5	2.3	2.5	2.5	0.6
	13.9	11.2	9.8	6.9	5.9	6.5	6.2	4.7

Use your calculator to do a linear regression expressing the number of murders per 100,000 residents as a function of the number of thousands of state-registered automatic weapons. Also, give the and 2 values from your calculator Regression Equation: = 2 = Round to 3 decimal places. Using your linear regression, how many murders per 100,000 residents can be expected in a state with 7400 automatic weapon Round to 3 decimal places. Using your linear regression, how many automatic weapons would be expected in a city with 6.3 murders per 100,000 residents? Round to the nearest whole weapon.

Question 3

The table below shows , the number of thousands of state-registered automatic weapons and , the number of murders per 100,000 residents for several Northwestern states.

	11.8	8.2	7.1	3.5	2.3	2.5	2.5	0.6
	13.9	11.2	9.8	6.9	5.9	6.5	6.2	4.7

Use your calculator to do a linear regression expressing the number of murders per 100,000 residents as a function of the number of thousands of state-registered automatic weapons. Also, give the and 2 values from your calculator Regression Equation: = 2 = Round to 3 decimal places. Using your linear regression, how many murders per 100,000 residents can be expected in a state with 7400 automatic weapons? Incorrect Round to 3 decimal places. Using your linear regression, how many automatic weapons would be expected in a city with 6.3 murders per 100,000 residents? Round to the nearest whole weapon.

Question 4

Goodness of Fit Chi-Squared hypothesis test ( = 0.05) for the claim that all 6 outcomes of rolling 1 dice are equally likely. The sum of the observed outcomes = 88 Enter the expected value for each possible outcome the table; round these expected values to 1 decimal place

X	1	2	3	4	5	6
Observed Frequency (counts)	11	19	8	16	16	18
Expected Frequency (counts)

What is the chi-square test-statistic for this data? (Report answer accurate to 1 decimal places.) 2= What is the p-value for this sample? (Report answer accurate to 3 decimal places.) p-value =

Question 5

After determining a relationship between cricket chirps and temperature, researchers were curious to see if there was a relationship between rooster crows and temperature. At different temperatures, the number of rooster crows per hour were recorded. These are their findings:

Crows	Temperature
11	61.8
16	69.6
17	75.2
20	88
21	80.4
21	82.4
22	88.2
22	80.6
22	98
22	83

a. Rounded to three decimal places, what is the correlation coefficient for this data? =

Having found a relationship between the number of crows per hour and temperature, statisticians then found a regression model, ^=, for the data with explanatory variable = crows per hour and response variable = temperature (F).

b. Use the given regression line equation to predict the temperature (round to 1 decimal place) if the rate of rooster crows/hour is 1) 19 crows/hour, predicted temp = F 2) 7 crows/hour, predicted temp = F

Question 6

You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 296 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of= 0.10.

1. Complete the rest of the table by filling in the expected frequencies:

Outcome	Frequency	Expected Frequency
Lane 1	74
Lane 2	65
Lane 3	65
Lane 4	92

1. What is the correct statistical test to use? Select an answer Homogeneity Independence Goodness-of-Fit Paired t-test Incorrect
2. What are the null and alternative hypotheses? 0: 1:
3. The degrees of freedom =
4. The test-statistic for this data = (Please show your answer to three decimal places.)

Question 7

You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 300 times. The results are displayed in the table below. Use an= 0.10significance level.

1. Complete the rest of the table by filling in the expected frequencies:

Outcome	Frequency	Expected Frequency
Spades	53
Hearts	74
Diamonds	86
Clubs	87

1. What is the correct statistical test to use? Select an answer Independence Goodness-of-Fit Paired t-test Homogeneity Incorrect
2. What are the null and alternative hypotheses? 0: 1:
3. The degrees of freedom =
4. The test-statistic for this data = (Please show your answer to three decimal places.)
5. The p-value for this sample = (Please show your answer to three decimal place)

Question 8

In a survey, 19 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $33 and standard deviation of $6. Construct a confidence interval at a 90% confidence level. Give your answers to one decimal place.

Question 9

A confidence interval for the population mean number of US states Americans have visited was found to be 11.8 to 12.9. Find the midpoint of this confidence interval:

State the confidence interval in the form margin of error:

Question 10

An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that express volume as a function of the mass. Round your answers to 3 decimal places

grams	Volume in ml
12	106.2
14.5	132.2
17	155
19.5	172.6
22	192.7
24.5	223.4
27	246.2

Volume = + where x is the grams of the unknown metal.

Please answer these questions correctly and sequentially. Thank you.