Inference for Slope

Fast food is often considered unhealthy because of its high content of both fat and calories. But are the two related? The fat and calorie contents of several brands of burgers were analyze for their association between fat and calorie content. What is the name of inference use to determine if a relationship exists between these two variables?

• Z-test for a proportion

• T-test for a mean

• T-test for the slope of a regression line

• Chi square test of independence

• Z-test for a difference between two proportions

Joaquin believes that increasing his walking speed will increase his pulse rate. In an attempt to model this relationship, Joaquin records his pulse rate, in beats per minute (bpm), while walking at each of ten different speeds, in miles per hour (mph). A regression computer output is shown above. Provided that the assumptions for regression inference are satisfied, which of the following provides a 95 percent confidence interval pulse rate from walking speed?

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Joaquin believes that increasing his walking speed will increase his pulse rate. In an attempt to model this relationship, Joaquin records his pulse rate, in beats per minute (bpm), while walking at each of ten different speeds, in miles per hour (mph). A regression computer output is shown above. Provided that the assumptions for regression inference are satisfied, what can you conclude about the relationship between the walking speed and the pulse rate of Joaquin?

• Since the p-value is greater than any reasonable significance level, there is significant evidence of a linear relationship between the Joaquin’s walking speed and his pulse rate.

• Since the p-value is less than any reasonable significance level, there is insignificant evidence of a linear relationship between the Joaquin’s walking speed and his pulse rate

• Since the p-value is less than any reasonable significance level, there is significant evidence of a linear relationship between the Joaquin’s walking speed and his pulse rate.

• Since the p-value is less than any reasonable significance level, no linear relationship exists between the Joaquin’s walking speed and his pulse rate.

There is a general concern about blood sugar and brain shrinkage. An investigation of the relationship between blood sugar levels and brain shrinkage for 22 observations are shown in the table above. Assuming the conditions for inference are met, calculate the Margin of Error for the slope of the regression line for brain shrinkage on blood sugar levels using 90% confidence.

• 0.1201

• 0.1259

• 10.1233

• 10.6127

Information about the Size (in square feet) of 18 homes in Dallas, Texas, and the city’s assessed Value of those homes was collected and analyzed. Any inference about the regression of these two variable would use a degree of freedom of?

• 15

• 16

• 17

• 18

A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?

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