Question: 1) A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent
1) A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.
HW3Midterm13.359.81121.987.5399.753.7282596.2835.439.17413.266.09220.989.72918.578.9852086.215.473.2742593.259.752.2576.443.98420.279.76221.884.25823.192.9112387.8211.445.03414.971.86918.476.70415.160.4311565.1516.877.208
Based on the data in the table, is there a significant linear relationship between HW3 and the Midterm grade?
- A.Yes, because the p-value = 0.05
- B.No, because the p-value = 0.0000
- C.Yes, because the p-value = 0.0000
- D.Cannot determine
2)The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food.For a random sample of 15similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars..
Store
Shelf Space
Weekly Sales
1
5
1.3
2
5
1.6
3
5
1.4
4
10
1.7
5
10
1.9
6
10
2.3
7
15
2.2
8
15
2
9
15
1.8
10
20
2.2
11
20
2.4
12
20
2.9
13252.914252.715252.5
Find the 99% prediction interval for the Weekly Sales when the shelf space is 30.(round to 3decimal places)
- A.2.325< y <3.232
- B.2.165 < y <3.915
- C.2.000< y < 4.000
- D.2.094 < y < 3.927
3)The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food.For a random sample of 15similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars..
Store
Shelf Space
Weekly Sales
1
5
1.3
2
5
1.6
3
5
1.4
4
10
1.7
5
10
1.9
6
10
2.3
7
15
2.2
8
15
2
9
15
1.8
10
20
2.2
11
20
2.4
12
20
2.9
13252.914252.715252.5
Using the regression line for this problem, the approximate Weekly Sales for shelf space that is 30.
- A.3.12
- B.2.99
- C.3.04
- D.3.1
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