Answer Happy

A student wanted to study the effects of a new type of plant food on the growth of a particular type of flower. Using five different concentrations of food, the plants were then allowed to grow over a 2-month period. At the end of the 2 months, the heights of the plants were measured. A regression analysis was completed, and the relationship was found to be linear with the least squares equation of 93.34 1.44x, where y is the height of the plant and x is the concentration of the plant food. The standard error for the slope was found to be 0.38. (a) Calculate the test statistic for a hypothesis test for the slope. (Round your answer to two decimal places.) (b) A hypothesis test was done for the slope of the least squares regression line, and a P-value of 0.0013 was found. Which of the following conclusions is appropriate? (Use a -0.05.) O Reject the null hypothesis and conclude that there is sufficient evidence of a linear relationship between the concentration of food and the height of the plant. Fail to reject the null hypothesis and conclude that there is insufficient evidence of a linear relationship between the concentration of food and the height of the plant. O Fail to reject the null hypothesis and conclude that there is sufficient evidence of a linear relationship between the concentration of food and the height of the plant. O Reject the null hypothesis and conclude that there is insufficient evidence of a linear relationship between the concentration of food and the height of the plant.