The Following Data Have Been Collected for a Simple Linear

question 111

Multiple Choice

The following data have been collected for a simple linear regression analysis relating sales (y) to price (x) : In applying the least squares criterion, the slope (b) and the intercept (a) for the best-fitting line are b = -12 and a = 162.You are to conduct a hypothesis test to determine whether you can reject the null hypothesis that the population slope, β, is 0 at the 1% significance level.Compute the value of the sample test statistic, t_stat, and use it to reach the proper conclusion.

• A)Since t_stat is inside the critical ±9.925 boundaries, we can't reject the β = 0 null hypothesis.
• B)Since t_stat is outside the critical ±9.925 boundaries, we can reject the β = 0 null hypothesis.
• C)Since t_stat is inside the critical ±7.845 boundaries, we can't reject the β = 0 null hypothesis.
• D)Since t_stat is inside the critical ±7.845 boundaries, we can reject the β = 0 null hypothesis.

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Definitions:

Weight Loss

The process of reducing total body mass due to the loss of fluid, body fat, or lean mass, commonly pursued through exercise and diet.

Pounds A Week

A unit of measure typically used to quantify weight loss or gain over a period of one week.

Heart-rate Reserve

The difference between a person's resting heart rate and maximum heart rate, used to gauge exercise intensity.

Intensity Level

A measure of the exertion or effort put into a physical activity or exercise, typically described as light, moderate, or vigorous.